The Diamond Ladder

      As a polestar to provide our bearings on this journey, I would suggest the concept of levelates, a term denoting a degree of organization, or structuration. As one lays down the primal conceptual basis of a reality perspective, related factors arise, as if of themselves. Structurate signifies a structure, from a levelate perspective. All individual realities are structurates: stars, galaxies, atoms, ideas, feelings. A company, a structurate, is a superstructurate, or overate, to its employees, who are substructurates, or partates, of the company.
      Structurates are composed of other structurates in ascending chains of existence, glistening rungs on a diamond ladder whose facets contain all that is, ever was, or ever will be. A structurate can affect or be affected by other structurates in a way that depends upon whether it exists at the same levelate as the others, at a more partateward levelate, or in an overateward direction from them. These three types of structurate interactions are variously known as relationships, properties, and laws.
      Colevelate realities, realities at the same levelate, can be mutually contactable and capable of producing motion in one another, through relationships. Realities in a common line of ascent at different levelates can interact through translevelation. Translevelate effects from partateward levelates appear in structurates as properties; from overateward levelates, they impact on structurates as laws.

      In the world of mind, lands of inhabitation are not nation and nation, but perspectives of reality with shores ending at seas of unresolved outlook. Belief, bias, and assumption are the rock, grass, and cloud of this inner place. In the universum mindus, humanity's collective feet shuffle along ancient thought paths whose patterns impart continuity and form to the humanly perceived environment. In the rising distance, away from the precincts of localized viewpoint, crystal highlands of elevated perspective and unifying view stand waiting, silent towers of promise.
      I have a triple-braided rope fashioned for ascent to one of these summits. Sturdy and supple, this coiled line is the concept of reality in three aspects: unary, binary, and trinary. The unary aspect of reality is the fact of existence. To decide that something is real is to conclude that it is. A reality test could require that a candidate reality interact with at least one known reality before being classified as real. This test is simple on the surface, but its depths are traced with currents involving reality partitions and concepts of relative and absolute reality.

      The binary aspect of reality, discernible through levelation, is a coin stamped on one side with a quality of singleness and on the other with a nature of multipleness. An individual reality is a single reality at one levelate but is also its multiple component realities at a more partateward levelate. This phenomenon takes place in a mechanism called a unity. In the homolevelate perspective, a simplification of the heterolevelate view, individual realities, called unitants, manifest collectively as a harmonious whole, called a unity, by individually reacting to a common reality outside the unity, called a unifier.

  Figure 1.1. Homolevelate Unity

      The trinary aspect of reality is detectable in an organizing mechanism that I shall refer to as a triate, which can be viewed from different angles, depending on one's area of interest. In the homolevelate view, a simplification of the heterolevelate perspective, a triate is a structurate composed of three partate structurates: a focalate, a multiate, and a diffluate.

  Figure 1.2. Homolevelate Triate

      The focalate of a triate is a central, controlling structurate. The multiate is an encircling, controlled structurate -- an overate of individual parts called multiatons. A triate's diffluate, A DIFfuse inFLUence, is a directed influence that impresses patterns inherent in the focalate upon the multiate.

      To visualize a triate, one can summon up in one's mind the image of the solar system in which our blue-swirled planet has its cyclic existence. At the center is the sun, great, commanding, proud, the focalate of the solar system multiate (planets, asteroids, and other orbiting material). The third element of the solar system triate is its diffluate, which causes the multiate to take on positions, properties, and motions that are inherent in patterns in the focalate. From the point of view of the multiate, the diffluate is the diffuse presence of the pattern-setting focalate over the multiate; to the focalate, the diffluate is the focalized presence of the pattern-responding multiate.
      The tiny structurates known as atoms provide another example of triates. Enthroned at the center of each of these submicroscopic islands of reality is its nucleus, which is also its focalate. Through the diffuse presence, throughout the atom, of the atomic diffluate, the nucleus orders the position and motion of every partate electron in the atom -- and thus decrees with total authority the position, motions, and properties of the single atomic multiate, the overate atomic shell.
      Non-triate models of the atom may incorporate forces of positive and negative electrical charge and specify interaction between proton and electron and between electron and electron. Some may contain more forces. But the triate machine portrays one resultant, directed force, no matter what the partate composition of the force.

      Increased insight can attend shifts in perspective. If one restricts one's view of a triatal multiate to a submultiate instead, dramatic new triate properties leap up like flames in the night. If, in a triate where the focalate is completely surrounded by the multiate, one views a segment of that multiate as the total multiate, the focalate is effectively displaced laterally from the center of the new multiate. The new, lesser multiate is called a lateral multiate, and the original multiate, in which the focalate is centrally located, a central multiate.
      To extend the applicability of these terms, any complete multiate is called a central multiate and any submultiate that is considered to be a multiate is called a lateral multiate. A lateral triate is always a segment of another triate, called a central triate, and consists of the focalate, diffluate, and part of the multiate of the central triate. Central and lateral can also refer to the components of those respective kinds of triates: central focalate, for example, or lateral diffluate.
      The asteroid belt, a partate of the solar system multiate, is a system of rocks circling the sun. In the lateral triate that possesses the asteroid belt as its multiate, the focalate sun, through its diffuse presence as the diffluate, controls each individual asteroid -- multiaton -- hence their collective overate behavior as the structurate, or lateral multiate, known as the asteroid belt. The properties of the asteroid belt as an overate structurate, including its precipitating into being, are imparted by the triate's focalate, the sun. A focalate can in a sense be considered to have a twofold presence: as itself and as its manifestation through its associated diffluate. This concept of a single reality manifesting a bifurcated presence that is discrete yet also diffuse can lead to immense developments.

      Any individual reality is a multiate, either lateral or central, to some focalate, which, through its diffluate presence, causes the individual reality to come into being and upholds it and its properties. This is generalized in the law of triate identity, which, in its homolevelate form, is:

      Every individual reality has its existence upheld in a triate, known as its triate of identity, or identifying triate, in which it is the multiate, also known as the identified reality.

      In the triate chain resides the pattern of the diamond ladder, the glistening lockstitch threading all things into ascending overates of existence. Structurates are upheld in their triates of identity, which in turn are upheld in more overateward triates of identity.
      In obedience to the law of triate identity, the solar system triate, which is itself a structurate and the triate of identity of the solar system multiate, is the multiate in a triate of identity upholding its reality. Somewhere is a focalate containing the patterns of the solar system triate. This focalate, its diffluate, and the solar system triate as lateral multiate, form a lateral triate. The central multiate of which the solar system triate is a partate can be referred to, for purposes of discussion, as a nebula.

      The key to the heterolevelate triate perspective lies in a heterolevelate understanding of unities. Unities are fiery crucibles of being where multiplicity melts, flows, and recasts itself across the face of reality. Accompany me in imagination, if you will, and let us speed in thought to the world of archetypicality, where bright patterns of perception drift in a boundless void. There. That linearized hourglass shape -- see? The two vertical cones joined at their tips? A horizontal plane bounds its base and another its zenith, a third bisecting its waist. This is a unity. A heterolevelate unity. In its unexpected but somehow familiar geometrical turnings is sculpted a visual understanding of how separate realities can be multiple, yet also be one.

  Figure 1.3. Heterolevelate Unity

      You and I turn our attention to this schematic portrayal, acquainting ourselves with its features. The hourglass surfaces are called the unital walls and the three planes the subunital planes. The intersection of each plane with the unital walls is a glowing subunital circle. Each plane is the repository for a separate aspect of the unity. At the bottom of the unity is the protoplane, whose intersection with the unital walls is the protocircle. Just above is the synthoplane, with its associated synthocircle. And the topmost subunital plane, the versoplane, intersects the unital walls as the subunital circle called the versocircle.
      The unital walls, subunital planes, and subunital circles together comprise the unital envelope. Not a reality, the unital envelope is an ideational template that can help you and me to understand unital aspects and relationships. Scrutinizing the unital envelope intently, we soon detect the unital realities. They reside in the subunital planes and are called unitons. Unitons can be visualized as small, round beads and are always located at the circumference or center of the subunital circles.

      Identation is a property signifying whether a structurate is a singlate or a plurate. A singlate (a singular term) is a set of items viewed as a single reality: army, for example, or book (one set of its many parts). A plurate (a plural term) is a set of items viewed as all of the individual members of a set: soldiers, for example or (many parts of the) book. Sometimes singular grammar is applied to a plurate, which, though referred to as it instead of they, is still a plurate.
      The prefix, term, signifies some of the members of a set, while the prefix, sum, signifies all of the members of a set. If a given unity contains six unitons, for example, then a group of four of the unitons are termunitons of the unity: more specifically, singlo-termunitons or pluro-termunitons as they are viewed as a singlate or plurate, respectively, regardless of their grammatical handling. The use of the singlo- or pluro- prefix takes precedence over all grammatical conventions in establishing identation. The entire six unitons as a group are the unity's sumunitons -- singlo-sumunitons or pluro-sumunitons, depending on which identational aspect of the sumunitons one is addressing.
      Unitons inhabiting a given subunital plane can be referred to as planotons. Planotons inhabiting the protoplane are called prototons. The single synthoton occupies the synthoplane. And the planotonic residents of the versoplane are the versotons.
      Protoate and versate refer to the entire protoplanic and versoplanic populaces, respectively, and signify sumplanotonic plurates. But both protoate and versate are singlogrammatical plurates; that is, they are treated grammatically as singlates. Thus, though plural, the protoate -- the sumprototons -- are referred to as it instead of as them. The synthate, identate as a singlate, is the entire synthotonic populace: the one synthoton. Planate can mean protoate, synthate, or versate and can therefore signify either a plurate or a singlate.

      See the prototons strung like beads along the smooth curvilinearity of the protocircle. They are the unitants of the unity. An individual reality can be a prototon in several unities. In unities involving persons, for example, one can find members, partners, citizens. But these are unity-defined roles and dwell high in the unital interiors. Protoplanes hold no such unity-restricted realities. For protoplanes are the marbled entranceways of the unities. Antecedent to specialized functioning, they know only the independent, noninterassociated phases of realities: this man or that woman.
      The planotons of a subunital plane can be thought of as possessing a multiplicity. The multiplicity of the planotons, also of the planate, of a given subunital plane is a number equal to the count of the planotons that occupy that plane. Planotons whose total population, or multiplicity, is one, two, three, four, five, six, or seven are known, respectively, as unons, bions, trions, quadrons, quintons, sextons, or septons. Occurateness is an attribute that specifies whether a reality is singular or plural: that is, is singularly occurate or has an occurateness of plurality. Cardinality, also called submultiplicity, is an attribute of a subunital plane, also of a total unity. The cardinality of a subunital plane is a number equal to the multiplicity of the planotons that inhabit that plane. The cardinality of a unity is a three-dimensional vector, a parentheses-enclosed, ordered set of three numbers, separated by colons, which are: the cardinality of the protoplane, the cardinality of the synthoplane, and the cardinality of the versoplane, in that order. This same, tripartite number also specifies the multiplicity of a unity, identifying the multiplicity of the protoate, the synthate, and the versate, respectively.
      The properties of cardinality and multiplicity specify quantitative partateward and overateward numericity, respectively. Identation and occurateness specify qualitative, or binary, numericity states at partateward and overateward levelates, respectively.
      The degree of a multiunity is its prototonic multiplicity. A multiunity of degree four, for example, is one which possesses four prototons.

      A unity involves many realities as one and is consequently also called a multiunity. In the homolevelate unity outlook, attributes of multipleness and singleness twist together confusingly below the surface. In the heterolevelate unity outlook, however, these attributes are mutually separated, both functionally and geometrically, through the dimension of verticality and the medium of multiple horizontal geometric planes.
      The prototonic multiplicity is always greater than one. The synthotonic multiplicity is always one. (The synthoton is visualizable as the beadlike synthocircle, smallest of the subunital circles.) The multiplicity of the versotons is always greater than that of the prototons.
      The prototons occupy only the protoplane. But they also inhabit the synthoplane, not as the prototons but as the synthoton. This phenomenon of the presence of a reality or realities moving up or down into two or more different encompassing phases, or levelates, and existing simultaneously as these variegated parts, is called translevelence. The plural prototons do not cease existing in order to be the singular synthoton. In the protoplane, each prototon continues to exist as a separate, individual reality. In referring to a unity, you and I shall employ singular nomenclature -- "a" unity, for example -- addressing the unity's unonic aspect, which resides in its synthoplane.
      The versotons are the projections of the prototons into the versoplane, singly and in combination, as restricted to function in the unity. Each versoton, whether the projection of one or of multiple prototons, is a single -- not a plural -- reality: a singlate. In their diversely combinative beings, the versotons embody the plurality of the prototons and the singularity of the synthoton, a situation productive of a third condition: conjointness, or conjoinarity.
      The funneling walls of the unity direct vertical changes in multiplicity between the realities of the individual horizontal subunital planes. If one begins at the protoplane and ascends, in concept, the structure of the unity, the planotonic occurateness of plurality, as originally realized in the prototons, begins to contract, as if under a gravitative force. As one reaches the synthoplane, the planotonic occurateness snaps into singularity in the synthoton. As one continues in concept upward, beyond the synthotonic needle's eye, the motion of the planotonic occurateness reverses direction, repluralizing as if under the urging of a radiative force. When one reaches, in imagination, the versoplane, the planotonic occurateness has again become plural, in the versotons. For this reason, the prototons are also called gravitons, the versotons radions, and the synthoton the stabilon -- or, being the point of reversal of the direction of motion of occurateness, the metoton.

      A primalate is a reality that exists in the primordial line of some other reality, which is known as the finalate of the primalate. Relatively speaking, the primalate is a source reality and the finalate its derivative reality. Primalate and finalate are not related in a temporal sense -- as ancestor and descendant -- but rather in a structural sense. A thread is a primalate of the rope which is woven in its substance; the rope is a finalate of the thread in which it is woven. In a unity, the finalateward direction -- as we visualize it in our schematic representation -- is upward. Primalateward is downward.
      The prototons are primalates of both the synthoton and the versotons. The synthoton is a finalate of the prototons. The prototons are present as the versotons, since they are primalates of the versotons. But they are not direct primalates of the versotons: the synthoton intervenes. Through translevelence, the prototons are the versotons, as is also the synthoton. And the prototons are the synthoton.
      All of the versotonic beads are strung, singly and in combination, on the circumference of the versocircle except one, called the sumotron, which hovers motionlessly at the versocircle's center. The multiplicity of the versotons is greater than that of the planotons of either of the two other subunital planes and is equal to 2-to-the-n minus one, where n is the multiplicity of the prototons. This, the versotonic multiplicity formula, is simply the formula for the number of possible combinations of prototons taken in groups of every size possible from the original group of prototons.

      A unity possesses an existential and also an experiential phase. The synthoton is existential (non-experiential), being actualized -- once it is forthcoming -- in the space of an instant. Qualitative only, it either exists or does not exist. Because of this, the synthoton is also called the existon and the synthoplane is called the existum. The synthoton is the responsiveness of the prototons to the unifier. In a volitional unity, the synthoton is the commitment of the unifying persons to the unity.
      Since the protoplane is situated antecedent to the existential synthoplane, it is thereby pre-existential, being called the pre-existum. Its prototons are the pre-existons. Mutality is a categorization that specifies whether a reality is pre-existential, existential, or experiential.
      Among the versotons are the monotrons, each a projection into the versoplane of a separate individual prototon. Also among the versotons are the singlatic projections into the versoplane of each possible combination of prototons. Each of these combinatory realities is a multitron -- duotron, treotron, quadrotron, or quintotron as it involves two, three, four, or five prototons, respectively. One versoton in every unity consists of the projection into the versoplane of all of the prototons as one and is called the sumotron.
      The versotons are experiential realities, realitizing through time and events. They are therefore referred to as experions. The versoplane is designated the experium. Through the breadth of diversity (the diverse prototons) and the singleness of mutual responsiveness (the single synthoton), the experions develop in the experium, where rough corners become rounded and capabilities and limitations evolve.

      Denominational factoring is a technique whereby one can follow a reality, as it either (1) translevelates or (2) functions in multiple roles within the same levelate, by referring to its various manifestations by identical names, differentiated only by superscripts or subscripts. A reality named X, which is a prototon in a particular triate, might, when functioning in an additional triate, be denominated X¹ . Alternately, the versotonic manifestation of X as a monotron might be named X¹ , which, when functioning as a prototon in a finalateward triate, might in turn be named X² . X^-1 might indicate a reality that is a prototon in a triate in which is X is the monotronic versotronic projection of X^-1. X⁺ and X^- denote a finalate and primalate of X, respectively, at some unspecified distance finalateward or primalateward.

      An individual uniton can be identified by a unitonic designator, which is a combination of three identifiers followed by a degree sign. The first of these, the planotonic multiplicity number, is a number denoting the multiplicity of the planotons of which the uniton is a member. The second, the planic abbreviation letter, is P, S, or V as the uniton is a prototon, synthoton, or versoton, respectively. And finally, the planotonic sequence number is a number identifying the individual uniton among the unitons in its subunital plane. The planotonic sequence number can be established in a predetermined list. These three identifiers together comprise the unitonic designator. The unitonic designator 10P8^o thus signifies the eighth prototon in a decaunity and is a decaunitonic designator. And 4P2^o signifies prototon number two out of a prototonic population of four, thus constituting a quadunitonic designator.
      The unitonic designator 32767:V:321^o (the optional colons are for clarity) signifies versoton number 321 in a versate of 32767 planotons. The unity involved is a femtounity, or unity of fifteen prototons, as can be verified by the versotonic multiplicity formula. In this example, one could indicate the type of the multiunity -- that is, the prototonic multiplicity -- by prefixing the unitonic designator with the combined prototonic multiplicity number and protoplanic abbreviation letter in parentheses followed by a colon; that is, (15P):32767:V:321^o. One could include the synthotonic information, too, by this scheme, describing the multiplicity of each planate, hence the cardinality of the unity, as follows: (15P):(1S):32767:V:321^o. The portion of this final example that is not in parentheses identifies the specific uniton that is being designated.

      You and I have seen that the name, unity, is really a shorthand way of saying multiunity -- MULTI in recognition of the plurality of the prototons and UNI in observance of the singularity of the synthoton. (The multiplicity of the versotons is inherent in the multiplicity of the prototons). A multiunity is a biunity, triunity, quadunity, or quinunity as its prototons number two, three, four, or five, respectively. Its unitons can also be called multiunitons -- or, more specifically, biunitons, triunitons, quadunitons, or quinunitons, respectively. The unitants in a multiunity are the prototons.
      A triunity is a unity of three unitants -- prototons -- which, numbering three, are trions. The number of versotons in a triunity is, according to the versotonic multiplicity formula, 2-to-the-3 minus 1, or seven, versotons -- which, numbering seven, are septons. The cardinality -- also the multiplicity -- of a triunity is therefore (3:1:7). Of the seven experions populating a triunity, three are monotrons (also called primary versotons), three are duotrons (also called secondary versotons), and one is a treotron (also called the tertiary versoton), which is also the sumotron.

      Let us examine some of these relationships in a familiar setting. Visualize, if you will, a triunity, named family, or family triunity, of three persons: a man, a woman, and a youth. These three individuals are the triunity's prototons.
      In a volitional unity, the synthoton is the commitment of the prototons to the unity. In their roles as man, woman, and youth, the three prototons are not restricted to the family triunity. But from somewhere outside the unital confines, an unseen unifier bathes these three mutually independent individuals with an influence perceptible to them as a self-transcending quality, love. In responding positively to this influence, the three pre-existential prototons project their mutual commitment up into the synthoplane as the single, existential synthoton. The commitment exists.
      Now experiential relationships evolve, in the rugged pliability of the versoplane. There, lessons are learned and growth is experienced. In the versoplane realitize the seven versotons of the family triunity: the experions. The three monotrons are family man, family woman, and family youth. The duotrons are: family man-family woman, family man-family youth, and family woman-family youth. The sumotronic treotron is family man-family woman-family youth.
      Family man is the man as he is carrying out his part for the family apart from the other members of the family -- for example, as he provides sustenance for the family members through employment. Similarly for the other two monotrons.

      Each duotron is the working relationship of two monotrons. A strong development of duotrons does not imply the strong development of the treotron -- the family. Working relationships beyond duotrons must develop in order for the family to experientialize. For example, each of the three duotrons in the family triunity may function as a harmonious manifestation of a different possible pair of individual family members. But no matter how well family man might interact with family youth as the family man-family youth duotron or family woman might interact with family youth as the family woman-family youth duotron, the family man-family woman duotron, for example, when in the presence of the family youth monotron, could possibly manifest some factor, such as love of mate, in a form that sweeps aside the needs of family youth.
      A triunital monotron and the duotron that does not contain that monotron are said to be complements of each other. The monotrons and duotrons must evolve by experience. So, also, must each complemental monotronic-duotronic pair as one, called a complementon.

      As you and I contemplate these subunital relationships, we suddenly perceive that multiplicity is a relative quality -- or rather, we understand, for the first time, a multilevelate reality. The UNITY we are considering is three in the prototons, one in the synthoton, and seven in the versotons. The PROTOTONS are three in themselves, one in the synthoton, and seven in the versotons. The VERSOTONS are seven in themselves, one in the synthoton, and three in the prototons. All of this is true because each planate, in all of its attributes -- including multiplicity and submultiplicity -- is the unity in its entirety, just looked at in a unique way. Because of this, three persons joined in a triunity can truly say that they are three, yet one. And also seven.

      Now you and I are prepared to understand the heterolevelate concept of a triate, for a triate is a special kind of triunity. Its realities -- the unitons, or triunitons -- are called triatons. The heterolevelate triate's three unitants, or prototons, are the focalate, diffluate, and multiate as generally visualized in the homolevelate triate model, with the difference that in the heterolevelate perspective, the multiate is a plurate; that is, multiate is a plural term, though grammatically we refer to the multiate as it instead of they. The focalate and diffluate are both identate as singlates; that is, each is a singular reality. The synthoton is a singlate, and, in the versoplane, each versoton is a singlate. In view of the fact that you and I have graduated from the homolevelate perspective, we shall from this point on take the words unity and triate to signify the heterolevelate outlook. We have seen that the cardinality of a triunity, hence of a triate, is (3:1:7). Seven experions populate a triate. Three are monotronic, or primary, versotons. Three are duotronic, or secondary, versotons. And one is a treotronic, or tertiary, versoton -- the sumotron.

  Figure 1.4. Heterolevelate Triate

      The monotrons, as we have seen, are the projections into the versoplane of each individual prototon (more correctly, of that portion of each individual prototon that is committed to the unity) as an individual versoton. A monotron is denominated the centrate, omnate, or periphate as it is the projection into the versoplane of the focalate, diffluate, or multiate, respectively, and can also be referred to as the versofocalate, versodiffluate, or versomultiate, respectively. The focalate, diffluate, and multiate can also be referred to as the protocentrate, protoomnate, and protoperiphate, respectively.
      Comprising the duotrons are the actate, the joint singlatic versotonic projection of the focalate and diffluate; the interactate, the joint singlatic versotonic projection of the focalate and multiate; and the reactate, the joint singlatic versotonic projection of the diffluate and multiate. The single treotron, the joint singlatic sumotronic versotonic projection of the focalate, multiate, and diffluate, is named the structate.
      As you and I consider the relationship between the prototons and versotons, we perceive that projection is a qualitative -- not a quantitative -- phenomenon: one reality causing another reality to function as it, itself, would. Thus, a triatal focalate causes a versotonic actate to function as would the prototonic focalate. Qualitatively, we realize, there is no difference in viewing the interactate, for example, as the jointness of the actate and omnate, or as the jointness of the versoplanic projection of the focalate and that of the diffluate. This phenomenon of qualitative interreality equivalence through projection, you and I shall refer to as projective equivalence.

      A triatonic designator is a unitonic designator applied to a triate. You and I adopt the following three series of triatal planotonic numbering: In the protoplane, the numbers 1, 2, and 3 designate the focalate, diffluate, and multiate, respectively. In the synthoplane, 1 signifies the synthoton. In the versoplane, among the monotrons, 1, 2, and 3 designate the centrate, omnate, and periphate, respectively. The versotonic actate, interactate, and reactate are designated by 4, 5, and 6, respectively. And the versotonic treotron, the structate, is denoted by 7. Thus, 7V2^o specifies a triatal omnate, while 3P2^o specifies a triatal diffluate. We could have found, even if we had not known, that the unity involved in 7V2^o is a triunity, by substituting various numbers for n in the versotonic multiplicity formula and observing which value of n produces a result of 7. We can also find the complement of any triatal versoton; for under our triatal planotonic numbering scheme, the planotonic sequence numbers of two complemental versotons always add up to seven. Thus, the versotonic complement of planoton number one, the monotronic centrate -- versotonic projection of the focalate -- is versoton number seven-minus-one, or 6, which is the reactate, a duotron, the versotonic projection of the prototonic diffluate and multiate as one.
      Relativities abound in triates (and in all other unities), where, as properties flash in subtriatal planes and skip up and down between subtriatal planes like ice-sculpted electricity, subtriatal elements and their attributes uphold other subtriatal elements and their attributes. The versotons are the combined experiential diversity and experiential unity of the prototons, while the prototons are the pre-existential diversity of the versotons. The synthoton is the existential unity of both the prototons and the versotons. The structate, being the experientialization of the protoate as one, is an evolutional reality and is therefore always less than the protoate's existential unity as one, the synthoton; that is, there are always reality factors of the synthoton that have not yet experientialized in the structate.

      One can define the boundaries of being of a reality in various ways. Consider, if you will, a multiunital prototon. The total of all the realities that are inherently part of the prototon is called the prototon's endion. The total of all the non-endionic realities that are subject to the control of the prototon -- that is, of all the realities that are subject to the control of the prototon but are not inherently part of the prototon -- is called the prototon's exion. The prototon's composite endion-exion is called the prototon's sumion.
      In the inverse sense, when one refers to the endio-prototon, one is addressing the prototon's endion -- its inherent realities. Exio-prototon refers to the prototon's exion -- the realities that are not inherently part of the prototon but are subject to the control of the prototon. And sumio-prototon signifies the prototon's sumion, the extended prototon consisting of the prototon's inherent realities and the realities that are not inherently part of the prototon but are subject to the control of the prototon.
      The prefixes, endio, exio, and sumio, can be applied to other realities, conveying the same meanings as in the example involving prototons. An endiality, exiality, or sumiality is all or part of an endion, exion, or sumion, respectively.
      In the following discussion of fractiality, prototons are considered in their sumio-prototonic aspect unless otherwise noted; that is, each prototon is considered to include the inherent realities of the prototon plus the realities that are not inherently part of the prototon but are subject to the control of the prototon.

      Separateness of existence is a reality tension which, like any other manifestation of polarity, strives to eradicate itself. Unity of existence is the twinborn antithesis of separateness of existence and is the potential vessel of its eradication. Interposed like a moderating hand between these two reality attributes is a third attribute, called fractiality.
      Fractiality is a term that relates to the fact that any given prototon contributes only a fraction of its being to its encompassing multiunity. Prototonic fractiality results in a dimensional inequity between the prototons and their versoplanic projections, the versotons. Recall, if you will, the family triunity of man, woman, youth. Some attributes of the youth prototon, such as student attributes, belong to other triunities and not to the family triunity, thus are not projected into the family triunity versoplane.
      Phasiality is a term that refers to factors stemming from the effects of fractiality.
      A fractial multiunity is a multiunity that possesses fractial prototons. All multiunities, as you and I know them, are, by definition, fractial: all prototons withold a portion of their endionic beings, or endialities, from the multiunities of their prototonicity, thereby preventing themselves from merging together like drops of water and vanishing from being as individual realities. In the solar system triate, for example, each planet retains its localized sphericity of amassed substance, instead of releasing all of its substance unqualifiedly to the solar system triate to cohere, with the undifferentiated substance of the other planets, into a supersphere.
      A fractial prototon (that is, any prototon) is also called a fracton. That portion of its being which the fractial prototon contributes to the fractial multiunity is called the prototon's directon, and the remaining portion of the prototon is called its subordon. The composite of the prototon's directon and subordon is called the prototon's completon. Directons, subordons, and completons are called integrions.

      In the family triunity, the portion of woman that is family woman is a family directon, while the total of all other aspects of woman is a family subordon, not contributing to the reality of the triunity called family. These fractialitive prototonic categorizations are relative. Suppose that in addition to being a prototon of the family triunity, woman were also to be prototonic in a multiunity called church multiunity. Then church woman would be a directon of the church multiunity, while the total of all of the non-church aspects of woman, including family woman, would be a church subordon.

      The maximum portion of its sumialities that a prototon can contribute to its multiunity and still retain its own endio-identity, thus preventing multiunital collapse, is called its maximated directon, or maximo-directon. A multiunity whose directons are all maximated directons is called a divested multiunity, or divesto-multiunity. Prototons (fractons) in a divested multiunity are referred to as divested prototons (divested fractons), or divesto-prototons (divesto-fractons). Divesto-prototons withold from the multiunities of their divesto-prototonicity the minimum portion of their individual endialities consistent with retaining their individual endionic identities, thus preventing collapse of the multiunity.

      Subordons of divesto-multiunities are called minimated subordons, or minimo-subordons, each subordon being that portion of the associated divesto-fracton that is not committed to the multiunity. Completons of divested multiunities are referred to as divested completons, or divesto-completons, each consisting of a composite maximo-directon and minimo-subordon. Integrions of divesto-multiunities are called divested integrions, or divesto-integrions.
      One can view any multiunity as the basis of multiunity-like realities, within and encompassing the multiunity, referred to as integriates. An integriate is the analogy of a multiunity that one obtains by viewing one type or another of the multiunity's integrions as being the integriate's equivalent of prototons -- called integroprototons. Integriates are are non fractial: they are integrial -- meaning that each integrion commits all of its reality to the integriate. Integriates are therefore not multiunities. Some are special views of portions of multiunities, and others are super-multiunital reality associations. Each integriate possesses a protoplane, a synthoplane, and a versoplane, which can be referred to as sub-integriatal planes.

      Every multiunity (also called a fractial multiunity, or basial multiunity, or basiate) is the basis of three integriates, each of a separate type. One type of integriate, named a directiate, possesses as integroprototons (more specifically called directoprototons) the prototonic directons. A second type of integriate, named a subordiate, possesses as integroprototons (more specifically called subordoprototons) the prototonic subordons. A third type of integriate, named a completiate, possesses as integroprototons (more specifically called comploprototons) the prototonic completons. The sub-integriatal planes of a directiate, subordiate, or completiate can more specifically be referred to as sub-directiatal, sub-subordiatal, or sub-completiatal planes, respectively.
      A directiate, directoprotoatic in the realities that each of the fractons commits to the multiunity, could never itself be a multiunity, for it is not fractial; its directoprototons withold no component from each other with which to stabilize any endionic separateness between them that would thereby accrue. Similar considerations apply to a subordiate and a completiate, which, like a directiate, are also integroprototonic in integrions.
      In addition to possessing integroprototons, integriates also include, among their partate realities, integrosynthotons and integroversotons. These integriatal analogies to multiunital unitons are referred to as integro-unitons, or integriatons. Integroprototons and integroversotons of a directiate are called directoprototons and directoversotons, respectively. Integroprototons and integroversotons of a subordiate are called subordoprototons and subordoversotons, respectively. Integroprototons and integroversotons of a completiate are called comploprototons and comploversotons, respectively. Directoprototons and directoversotons are alternately referred to as directo-unitons, or directiatons. Subordoprototons and subordoversotons are alternately referred to as subordo-unitons, or subordiatons. Comploprototons and comploversotons are alternately referred to as complo-unitons, or completiatons. All or part of an integriaton -- that is, of a directiaton, subordiaton, or completiaton -- is called an integriality -- that is, a directiality, subordiality, or completiality, respectively.
      A fractiate is a bifractiate, trifractiate, quadfractiate, or quinfractiate as it is the unity of two, three, four, or five fractons, respectively. A directiate is a bidirectiate, tridirectiate, quaddirectiate, or quindirectiate as it is the directiate of a bifractiate, trifractiate, quadfractiate, or quinfractiate, respectively. A subordiate is a bisubordiate, trisubordiate, quadsubordiate, or quinsubordiate as it is the subordiate of a bifractiate, trifractiate, quadfractiate, or quinfractiate, respectively. A completiate is a bicompletiate, tricompletiate, quadcompletiate, or quincompletiate as it is the completiate of a bifractiate, trifractiate, quadfractiate, or quinfractiate, respectively. Fractiates directiates, subordiates, and completiates can be referred to as multifractiates, multidirectiates, multisubordiates, and multicompletiates, respectively.

      The three associated integriates of a given multiunity are called unigrates, and their integrions (integroprototons) are called unigratons (unigraprototons). A multiunity and its unigrates are known as unitogrates, and their prototons and integrions (integroprototons) are known as unitogratons -- unitograprototons. These terms are relational designators and only apply when used to indicate membership in a specific group. A biunity, its associated subordiate, and its associated completiate, for example, considered as a group, are three unitogrates, and their prototons and integrions are unitogratons. The same same biunity and some other subordiate, however, considered as a group, are not unitogrates.

  Figure 1.5. The Unitogrates

      A triate, a special case of a triunity, is also known as a triatofractiate. Its corresponding integriates -- directiate, subordiate, and completiate -- are denominated a triatodirectiate, a triatosubordiate, and a triatocompletiate, respectively. A triatal basiate is called a triatobasiate. Triunital unigrates and triatal unitogrates are called triatounigrates and triatounitogrates, respectively. Triatal unigratons and triatal unitogratons are called triato-unigratons and triato-unitogratons, respectively.

      The family triunity is also known as the fractial family triunity, or family trifractiate. If one strips away in one's mind the non-family-triunity component of the family triunity prototons, one is left, conceptually, with the family triunity directons. The family tridirectiate has as directoprototons the family triunity directons family man, family woman, family youth (that is, family sumio-man, family sumio-woman, family sumio-youth). The family tridirectiate is not a triunity, for its directoprototons are non fractial.
      The summation of the non-triunital components of each family triunity prototon -- that portion which one has in concept stripped away to produce each family triunity directon -- is a corresponding family triunity subordon. The family trisubordiate has as subordoprototons the family triunity subordons non-family man, non-family woman, non-family youth. This is not a triunity; it is not even a structure as such; it is a conceptual grouping of reality factors that are associated with the triunital components of the family triunity.

      A reality that is perfectly unified within itself is said to be partra-unified. A group of realities that are perfectly unified between themselves is said to be ovra-unified. A group of realities, each of which is partra-unified and all of which, as a group, are ovra-unified, is said to be omni-unified. A multiunity whose sumprotoate is omni-unified is called an omni-multiunity.
      Consider, if you will, the situation that would obtain were a given multiunital prototon to be partra-unified, a perfectly unified reality within itself. Any internal evolution it might undergo, even from external influences, would be over. Its directon and subordon would be unqualifiedly one. The internal unity of the prototon would cause the corresponding directoprototonic function in the multidirectiate and the corresponding subordoprototonic function in the multisubordiate to be a single, unified function, thus bringing into existence the corresponding completon.
      Were a given multiunity to be an omni-multiunity -- that is, were each of the prototons of a given multiunity to be perfectly unified realities within their individual beings and with each other -- then a superunity would attend upon their unital function. Their containing multifractiate, an omni-multifractiate, would be completely unified within itself, as also would their associated multidirectiate, an omni-multidirectiate. Their associated multisubordiate, an omni-multisubordiate, would behave as a perfectly unified structure, even while not technically being a structure. The multidirectiate and multisubordiate would function together as an effective composite integriate, a multicompletiate.
      The comploprototons of a completiate are the completons. The comploversotons possess a dimensionality that includes the dimensionality of corresponding directons plus the dimensionality of corresponding subordons (which includes the uncommitted corresponding prototonic endialities and uncommitted corresponding prototonic exionic realities). This weaving, into the emerging completiatal experium, of direct and indirect subordialities, which are not a part of the multiunity and exist outside the multiunity, is called inclusality, also inclusation, or inclusating.

      Completiates are theoretical integrial realities. For a given multiunity, a potential completiate always exists; however, an actual completiate, the equivalent of a non-fractial multiunity -- or multiunity whose prototons commit all of their realities to the multiunity -- would be a post-evolutionary structure, unalterable by internal or external influences. This requirement is embodied in the completiate actualization criterion, which is stated as follows:

A completiate can only actualize when the associated multiunity possesses complete, unqualified, final, and unalterable unity within each of its prototons and between all of its prototons.

      Completiates, therefore, are unqualifiedly stable omni-integriates; there are no completiates that are not omni-completiates.
      Two corollaries of the completiate actualization criterion are: (1) All possible candidates to be partates of a given directon or subordon of the associated multiunity are already partates of the given directon or subordon. (Otherwise, the internal unity within each prototon of the associated multiunity would not be final.) (2) All possible candidates to be prototons of the associated multiunity are already prototons of the associated multiunity (Otherwise, the unity between the prototons of the associated multiunity would not be final.)
      Pondering the implications of the completiate actualization criterion, you and I perceive three more corollaries of this criterion: (3) A completiate must encompass within its being the totality of realities with which it might interact. (4) All evolution within or partly within (i.e., because of exonic subordial realities) the comploprotoate, either at the comploprototonic levelate or at the sub-comploprototonic levelate, must be a past event. (5) A given completiate cannot actualize until all completiates whose basiates are potentially capable of influencing the basiate of that completiate actualize: all actualize together.
      All multiunities, you and I perceive, with quickening understanding, are evolving, through their individual, emerging completiates, called emergo-completiates, toward individual, experientially complete unity within each of them and toward one total, experientially complete unity upon them all. Resting upon, and encompassing, every multiunity is an emergo-completiate, the evolving, effective unity of: (1) the multiunital directiate and (2) those subordial attributes of the multiunital prototons that are not committed to the unity but which, because of the unital harmony of the prototonic directial attributes, increasingly align together with one another.
      A multiunity possessing a completiate is referred to as a completial multiunity; all other multiunities are called emergo-completial multiunities.

      To visualize an emergo-completiate, one might consider a friendship, a purely personal unity (an endio-personal unity) of several persons who, among other things, are also kings. Each of the sumio-persons is a fractial prototon in the endio-personal multiunity. Each associated directon consists of the endio-person's committed realities -- that is, committed to the personal multiunity. Each associated subordon consists of the sumio-person's uncommitted sumio-realities, including: (1) the uncommitted endio-personal realities and (2) all of the sumio-person's exio-realities, among which are the sumio-person's responsive kingdom realities -- that is, the kingdom realities that are subordinate to the exio-person, hence to the sumio-person. The uncommittted endio-personal realities of each person are direct subordial realities, inherently subject to the person. The responsive kingdom realities of each person are indirect subordial realities, made subject to the person through another multiunity (a kingship triate).
      Though the individual kingdoms have no treaty (synthoton) bonding the kingdoms together in a unified structure (unity of kingdoms), the internal unity of each fractial prototon -- sumio-person -- causes the associated subordon (including, among other things, the responsive kingdom realities) to align, to a degree, with the associated directon (the committed endio-personal realities). Thus, the structural unity of the persons (endio-personal tridirectiate) produces over the collection of kingdoms a certain degree of functional unity (exio-personal trisubordiate). An overall unity of all the sumio-personal realities, committed and uncommitted (the latter uncluding, among other things, the responsive kingdom realities), as a single reality (sumio-personal tricompletiate), emerges, partially and gradually -- but, in accordance with the completiate actualization criterion, not fully and in finality, until all persons everywhere are fully, finally, and unalterably unified, individually (internally) and with one another.

      Two biunities that share a common prototon are collectively called a duo-biunity and individually called co-biunities. A duo-uniton is a uniton that is shared in common by the two co-biunities in a duo-biunity. The prototon that is shared between the co-biunities is denominated a duo-prototon, and its monotronic projection, shared by the two versates, is a duo-versoton -- a duo-monotron. The duotron in each co-biunity is a duo-duotron, both duo-duotrons in the duo-biunity sharing the single duo-monotron of the duo-biunity in their being. The unshared prototons are called uni-prototons. The versotons that have no duo-versotons in their being -- that is, all of the monotrons except the duo-monotron -- are called uni-versotons.
      One can graphically portray a duo-biunity either as two separate biunities with the duo-prototon and duo-versoton duplicated in each biunity, or as two biunities located side-by-side, the two protocircles touching in one place and the two versocircles touching in one place, which is the location of the single duo-prototon and duo-monotron, respectively. The first portrayal is called an open duo-biunity portrayal and the second a closed duo-biunity portrayal.

  Figure 1.7. Closed Portrayal of a Duo-Biunity

      A treo-biunity is three biunities sharing a common prototon, or treo-prototon, and sharing the treo-prototon's resultant monotronic versotonic projection, called a treo-versoton -- more specifically, a treo-monotron. A poly-biunity is a number of biunities sharing a common prototon, or poly-prototon, and sharing the poly-prototon's resultant monotronic versotonic projection, called a poly-versoton, or poly-monotron. The unshared prototons in a poly-biunity are called uni-prototons. The versotons that have no poly-versotons in their being are called uni-versotons. The degree of a poly-biunity is equal to the number of prototons (uni-prototons plus poly-prototons) it possesses; for example, a treo-biunity, possessing four prototons, is of degree four.
      A closed portrayal of a poly-biunital protoate or versate consists of a central bead (the poly-prototon or poly-versoton) and a number of ovals, radiating from the poly-prototon or poly-monotron, which represent the individual protocircles or versocircles, with the poly-biunital protoate or versate being arranged in or on the poly-biunital protocircle or versocircle.

  Figure 1.8. Poly-Biunity (Closed Portrayal)

      A completial poly-biunity is a poly-biunity whose co-biunities are completial biunities. The versotonic population of a non-completial, or emergo-completial, poly-biunity is the same as that of a multiunity of the same degree as the poly-biunity with the exception that the poly-biunital versate does not include those multiunital versotons that involve any combination of two or more of the uni-versotons. For example, the duo-biunity whose duo-prototon is denominated B and whose uni-prototons are A and C, when compared with the trunity that is prototonic in A, B, and C, is missing the triunital duotron A¹C¹ and the triunital treotron A¹B¹C¹, the missing versotons being referred to as poly-bisynthal (more specifically, duo-bisynthal) versotons (a duo-bisynthal duotron and a duo-bisynthal treotron).
      In a completial poly-biunity, an omni-unified reality, the unqualified unity within each prototon and the unqualified unity between the poly-prototon and the uni-prototons causes the poly-prototon to function as an effective supplemental synthoton, called a poly-bisynthoton (for example, a duo-bisynthoton), thereby producing the missing poly-bisynthal multitrons and transforming the poly-biunity into a true multiunity, called a poly-bisynthal multiunity. In the example where the duo-biunity is equivalent to a triunity, the triunity is called a poly-bisynthal triunity or, more specifically, a duo-bisynthal triunity.
      Graphical portrayals of a poly-biunity do not show the poly-bisynthal versotons. The two duo-bisynthal duotrons in the versoplane of a duo-biunity are the projection, into the biunital versoplane, of the duo-bisynthal treotron, which, in the duo-biunital frame of reference, is also called the duo-bitreotron.

      In investigating the triatal structure, more discoveries wait for you and me in the versate. New schematic symbology, however, is required. Two useful picturizations of the versate are the versal disk (versal as in versate, not versoton) and the versal cube.
      To construct the versal disk, draw a circle representing the versocircle. Inscribe in it an inverted, equilateral triangle, drawn in dashed lines. Draw a round bead on the versocircle at each of the three places where the versocircle is touched by a triangular vertex. The three beads thus constructed are the monotrons. Beginning at the upper left monotron and proceeding clockwise, label the monotronic beads, in order: centrate 7V1^o, omnate 7V2^o, periphate 7V3^o. The triangle, which we leave unlabeled, is called the monotronic sheet.
      Now inscribe in the circle a second, but uninverted, dashed equilateral triangle. This is the duotronic sheet. Where the second triangle's vertices touch the versocircle, draw three more beads, the duotrons. Beginning at the top duotron and proceeding counterclockwise, label the duotronic beads, in order: 7V4^o actate, 7V5^o interactate, 7V6^o reactate. At the center of the circle, draw a bead and label it 7V7^o structate.

      The seven beads are called overational versotons -- overational, since each portrays an individual versoton as a single, overate reality. An alternate rendering of the versal disk differs from this portrayal primarily in depicting each duotron and the treotron as a cluster of two or three beads, respectively. The individual beads in each multitronic cluster represent the monotrons that make up that multitron and are labelled c, o, and p as they signify the centrate, omnate, and periphate component, respectively, of the multitron. These are the partational versotons. Their distinction from overational versotons is solely one of representational method. In the partational versal disk, six dotted lines radiate out from the structate, one connecting to each of the six circumferential versotons, signifying graphically that the structate is all of the other versotons as one.

  Figure 1.10. The Versal Disk (Partational Perspective)

      Numerous relational and constitutional factors of the versate shine out to our perception through the medium of the versal disk, especially in the partational rendering. With the versal disk, one can analyze specific triates, labelling the disk's parts in terms of the triate under examination to bring out various factors. If one replaces the circular arcs, which interconnect the versotons in the versal disk, with straight lines instead, one produces the versal hexagon, functionally equivalent to the versal disk.

  Figure 1.11. The Versal Hexagon

      A further advance in understanding versate reality awaits you and me in the versal portrayal known as the versal cube. The versal cube is to the versal disk as a three-dimensional figure is to a two-dimensional figure. Any versotonic structate is a versal sum. The summation of qualities as well as of quantities, it is therefore a vector sum, represented geometrically as a point (bead center) in a reference system. In the versal disk the structate possesses a two-dimensional location, while in the versal cube the structate possesses a three-dimensional location.
      In the versal cube, one places emphasis on the vector nature of the versate. To construct the versal cube, draw a cartesian coordinate system with axes c, o, p, where the p axis is horizontal, the o axis is vertical, and the c axis is perpendicular to the plane of the paper, positive in the direction which emerges upward out of the paper. (Coordinates in this system are given in the order c, o, p.) Draw a bead at the origin of the coordinate system. On each positive axis, at an equal distance from the origin (foreshortened for perspective along the c axis), draw a small bead and label it centrate 7V1^o, omnate 7V2^o, or periphate 7V3^o, as it lies on the c, o, or p axis, respectively. These beads are the monotrons, each possessing only a single, axial coordinate. In each of the three coordinate planes, draw, in a dashed line, the vector resultant of the two axial beads in the containing plane, substituting a bead for the traditional vector arrowhead.
      The three two-dimensional resultant vectors thus drawn are the duotrons. The two coordinates that make up each are the monotrons that comprise it. Label the c-o bead, or duotron, 7V4^o actate. The c-p bead is designated 7V5^o interactate. And the o-p vector is 7V6^o reactate. With the exception of the bead at the origin, the six beads thus constructed are versotons. All that remains to be drawn is the seventh and final versoton, the structate, 7V7^o.
      In each of the three coordinate planes, draw a solid, perpendicular line from each of the two axes of that plane to the vector resultant in that plane. Thus we have constructed three mutually perpendicular planar rectangles. And thus, we see, we have have drawn three sides of a box, including seven vertices and nine edges. This completely defines the box. (Versal relationships may show up better if the box is elongated along the p-axis.) Complete the box by drawing the eighth vertex and, in solid lines, the remaining three edges (and, inherently, three sides). Show the eighth vertex as a bead labelled 7V7^o structate. Connect the origin with the structate by a solid, heavy line.

  Figure 1.12. The Versal Cube

      Examining the figure that you and I have created, we see that depicting the monotrons as one-dimensional axial vectors in a three-dimensional coordinate system generates three two-dimensional duotrons, each duotron being a resultant vector and lying in its own plane of the coordinate system. The monotrons are lines -- one-dimensional vectors. The duotrons are planes -- two-dimensional vectors. The three two-dimensional duotronic vectors together form a resultant three-dimensional vector, the structate, in the c,o,p space of the COP coordinate system. They are the projections, in the coordinate planes, of this total, or summational, vector.

      Numerous factors can be observed in the versal cube. The monotronic and duotronic sheets can be seen in it, by connecting together the three monotronic beads and connecting together the three duotronic beads, respectively. In the rectangular framework of the versal cube, we can easily perceive that these, the versal sheets, are parallel to one another.

  Figure 1.15. The Monotronic and Duotronic Sheets in the Versal Cube

      View, if you will, the versal cube corner-on, looking down along the structatal vector toward the origin, as if the cube were balanced on its origin corner and observed from above. See how the visible and hidden lines of the cubical outline, taking on seemingly unaccustomed turnings, are really the versal hexagon (hence the versal disk). The versal hexagon, we see in this new perspective, is the versal cube seen along the structatal cubal diagonal, the perception of depth along the line-of-sight being lost because of the orientation of the observer and compressed into the planarity of the versal hexagon.

  Figure 1.16. The Versal Cube Seen from a Corner

      In the versal cube, the Star-of-David pattern of the versal hexagon is seen, released from its two-dimensional bondage, viewed in the clarity of three dimensions. It is in reality two structures mistaken as one: the separate, parallel versal sheets observed, like two celestial constellations, from a direction that causes them to appear to lie in the same plane. The origin -- the one unidentified bead -- of the versal cube is the synthoton of the multilevelate triate, the unonic needle's eye from -- or through -- which the versate blossoms into being.

      In our journey to the universe of archetypicality and our exploration of the unity concept, you and I have thus far experienced only a few brief glimpses of the unifier. Though vital to the unity, the unifier is not a part of the unity. It is external to the unity.
      Since any unity is a reality, then, by the law of triate identity as you and I have encountered it, we would expect that a unity would be a central or lateral multiate in its triate of identity. That formulation of the law of triate identity, however, was developed in the homolevelate perspective; we are dealing now with heterolevelate realities. A multiate, in particular, is different in the heterolevelate triate model than in the homolevelate view. We must recast the law of triate identity into the heterolevelate perspective.
      Observe, if you will, the arrangements and groupings of the triatons in a heterolevelate triate. Disregard the focalate and diffluate and their versotonic projections; that is, view the multiate, alone, and its monotronic versotonic projection. Observe that the pluratic multiate -- that is, the multiatons -- is projected, through the unifying factor of the synthoton, into the status of a single versoton, the periphate. Being the versal projection of the protoplanic multiatonic populace, the periphate is thus the versate, and the multiatons the prototons, of a unity that is internal to the triate. Thus, the periphatic identation is relative: from the perspective of the triate, the periphate is a singlate; yet to the multiate, which is a plurate, the periphate is an entire versate and is identate as a plurate.
      A multiate in a heterolevelate triate, we thus see, is always the protoate of a triatally contained, or subtriatal, heterolevelate unity, which we shall call the multiate's proto-unity -- a reality encompassing, like any heterolevelate unity, three levelates of multiplicity in its being.
      The proto-unity of a group of realities is the unity whose protoate they are. Similarly, the verso-unity of a group of realities is the unity whose versate they are. And the syntho-unity of a single reality is the unity whose synthate it is. The term, multo-unity, or multiatic proto-unity, not otherwise qualified, refers to the proto-unity of the triatal multiate.

      A unity is always the multo-unity of its identifying triate, which can be a central or lateral triate. Thus, a heterolevelate unity is a trilevelate view of a multiate. It is the proto-unity of a multiate. The proto-unital prototons are the triatal multiatons. The proto-unital synthoton is the mutual triatal multiatonic responsiveness to the triatal focalate (through the diffluate). And the proto-unital versotons are those unital versotons that include, in their being, versotonic projections of only the triatal multiatons.
      The heterolevelate law of triate identity is:

Every individual reality has its existence upheld in a triate, known as its triate of identity, or identifying triate, in which it is the multo-unity, also known as the identified reality.

      Inherent in the law of triate identity is the triatonic progression, the movement of a reality from the role of a given triaton in one triate to the additional role of another kind of triaton in another triate, without leaving the first role. The triatonic progression is from a multiatic proto-unity to a focalate to a diffluate. A given reality always begins its existence as an identified reality in the multiatic proto-unity of its identifying triate. Then, finalateward, it may take on the role of focalate in a second triate (or triates), being empowered over the multiate in this second triate by the diffluate of this same second triate. As a focalate in the second triate, it brings the multo-unity of the second triate into being, including any segments of the multo-unity: lateral multo-unities (lateral proto-unities).
      The focalate is the creator and controller of the multo-unity. In this position of power, the newly invested focalate of the second triate can cause the multo-unity of that triate and multo-unities in other triates in which it is the focalate to respond to some other reality, empowering that other reality to be the focalate in a third triate. The focalate of the second triate, by empowering the new focalate in the third triate, is the diffluate of the third triate. Thus all of reality climbs upward as a scintillating diamond ladder of creation, control, and upholding.

      To ascend or descend the diamond ladder is to journey overateward (outward) or partateward (inward), respectively. Consider, if you will, that you and I approach, with the mobility of imaginative thought, a triate.
      We enter the triatal confines at the versoplanic levelate and drift past hovering triatal versotons, approaching the single, singlatic periphate. Nearing this seemingly featureless versoton, we see it up closer as an entire versate, the pluratic mix of its own internal versotons -- unital versotons. This alteration in our perspective from singlatic periphon to pluratic versate is a transfer from the reference frame of the triate to that of the triate's multo-unity.
      Descending the triatal periphate's verso-unital funnel, we pass the synthoton and emerge into the unital protoplanic world of the triaton's variegated multo-unital prototons (the triatal multiatons). Focusing on one of these multiatons -- each of which is a singlate -- we observe that it drifts in a nacreous cloud which is the stuff of the versoplane of its (the multiaton's) triate of identity (not the triate we originally entered, but another triate). See, looking down the planes in this identifying triate of the multiaton: the multiaton is a multilevelate reality, the multo-unity of this identifying triate. From overateward, the multiaton is seen in the versoplane of its identifying triate as the triate's singlatic periphate, which, as we shift from the reference frame of the newly perceived triate to that of its multo-unity, is then perceived as the pluratic multo-unital versate. Entering this miniature versate, you and I descend the new unital funnel and emerge into a new pluratic multiate. And we see that the partateward journey is ever inward.

      The focalate of a unity's triate of identity is the unifier of that unity. Being the unifier, it is not visible from within the unity. Unseen, creative, vibrant with potentiality, it hovers outside the unity. The oneness of the unity is the presence of the one unifier not only in, but between, the unitants; therefore, the unity is synergistic in nature: supersummative with respect to all of its parts, the unitons. The unitons exhibit extra-unitonic properties because they are unified by an extra-unitonic reality. Not a part of the unity, the unifier is the continuing source of the unity and manifests a presence, a projection of itself, which is perceived in and over the unity as a pervasive harmony.

      An estate is one reality status-of-being in contrast with some other reality status-of-being. Considering unital functions as estates, for example, one could refer to a unifier as occupying the unifier estate and a unitant as inhabiting the unitantial estate. Or, considering unitonic identity as an estate, prototons occupy the prototonic estate, while versotons are members of the versotonic estate. With respect to subunital plane of residency as an estatal category, prototons occupy the protoplanic estate and versotons the versoplanic estate.
      Through the power of a mechanism called trans-estatism, a reality that occupies a given estate can realize -- by a technique of functional alignment with a reality occupying another estate -- existence in that other estate, as well as in the estate it already occupies. The reality that is thus expanding its estates is called the primary reality and its estate the primary estate, while the other reality, the secondary reality, occupies the secondary estate.
      In discussing an inter-estatal transaction, one can refer to the containing estate or to the contained reality. For example, in the situation where reality one in estate one trans-estatizes to estate two through alignment with reality two, one can say that: (1) reality one trans-estatizes to estate two; (2) reality one trans-estatizes to reality two; (3) estate one trans-estatizes to estate two; or (4) estate one trans-estatizes to reality two. Though one might specify, through a system of prefixes, which of these meanings one intends, the broad scope seems at present to be intuitively useful and can extend meaning into multiple applicable domains simultaneously. Ambiguity can be avoided, where desired, through context and phrasing.

      Functional alignment -- a relationship -- is the secret of trans-estatism. A given relationship is an initio-relationship (and its designator treated as a verb) while it is being established, after which it becomes a subso-relationship (and the same descriptor treated as an adjective). Consider the concept of penetrating, as in the statement: the wire penetrates the wall. This could signify either: (1) the initial act of the wire piercing the wall, or (2) the subsequent relationship of the wire comprising a structural intersection of the wall. The wire first actionally initio-penetrates the wall, then ceases that action and takes up a subsequent relationship of subso-penetrating the wall.
      The subso-penetration of the wire through the wall is a static relationship. Some other subso-relationships can be dynamic, however: for example, one person supporting another. The prefixes stato and dyno differentiate between these two cases. After the wire initio-penetrates the wall, which is a dyno-penetration, it then subso-penetrates, or stato-subso-penetrates, the wall. A person, however, who, after first initio-supporting another person, continues subso-supporting that person, is dyno-supporting the other person. A dyno-relationship, even a dyno-subso-relationship, is really a continually recurring initio-relationship. All personal, or volitional, relationships are dyno-relationships.

      Accompanying any given manifestation of trans-estatism is an identical but oppositely directed trans-estatal manifestation, the two constituting two trans-estatal cycles. In one cycle, one of the two realities involved is primary, attaining to function in the estate of the other reality and as the other reality. In the remaining cycle, the other reality is the primary reality. Both complementary cycles of trans-estatism must exist in order for either to exist, a requirement known as the law of expandent completion.
      Expandence refers to the simultaneous existence of both complementary cycles of trans-estatism. Trans-estatism is thus seen to be pseudo-expandence.
      Each cycle of trans-estatism encompasses two phases, or terminants. One can visualize a trans-estatal cycle geometrically, as a directed line extending FROM a dot at the center of one circle, the primary estate of that cycle, TO a dot at the center of another circle, the secondary estate of that cycle. The inscribed dots represent realities occupying the containing estates. One of the two terminants of such a schematicized trans-estatal cycle is represented by the point where the trans-estatal line exits the circular boundary of the primary estate and is called exo-estatism, which signifies attaining to function outside one's primary estate. The second terminant, represented by the point where the trans-estatal line enters the circular boundary of the secondary estate, is called endo-estatism, which means attaining to function inside a secondary estate. A terminant can also be referred to as pseudo-trans-estatism. The terminantial verb forms are exo-estatize and endo-estatize, while the verb form of trans-estatism is trans-estatize.
      Exo-estatism can also be referred to as transcendence, whose verb form is transcend. Endo-estatism is immanence, whose verb form is immanend. Since exo-estatism is always with respect to one's primary estate, then by definition, one does not transcend an estate in which one has no part. The primary reality in a trans-estatal cycle is called a transcendiate, and the secondary reality is called an immanendiate. Expandence -- that is, symmetrical, duo-cycled trans-estatism -- is the multiplication of the number of estates of a given reality; i.e., expansion of the boundaries of that reality. Multi-estatism, as in multilevelence or multidimensionalism, refers to the multiple estates or realities of expandence or trans-estatism as a single, multi-estatal estate or reality.

      Translevelence, whose verb form is translevelate, is trans-estatism applied to a levelatic estatism, where levelates are estates. (Another trans-estatism might be, for example, trans-dimensionalism, where dimensions are estates). Unital translevelence is translevelence applied to the unity mechanism. One cycle of unital translevelence is unifier-unitant translevelence, in which a unifier also functions in the estate of one or more of its unitants through alignment with the unitant (or unitants). The other cycle of unital translevelence is unitant-unifier translevelence, in which a unitant (or unitants) also functions at the levelate of its (their) unifier through alignment with its (their) unifier.
      Levelatic expandence, or expandolevelence, refers to the simultaneous existence of both cycles of translevelence; that is, in the unifier/unitant example, to unifier-unitant/unitant-unifier translevelence. In accordance with the law of expandent completion, a unifier cannot attain to function at the levelate of a unitant and as a unitant unless the unitant attains to function at the levelate of the unifier and as the unifier, and vice versa.
      Translevelence -- pseudo-expandolevelence -- or any other trans-estatism is not a movement from one estate to another, but rather a linking of multiple estates as seen from the perspective of one of the estates involved.

      Those triatal versotons that incorporate the periphate in their beings are called periphatal versotons. They are: the periphate, the interactate (composed of periphate-centrate), the reactate (composed of periphate-omnate), and the structate (composed of periphate-centrate-omnate). The four periphatal versotons are also called the periphons. The periphate is the only pure periphon, for each multitronic periphon is a combination of the periphate with some other versoton or versotons. Those versotons that do not include the periphate in their beings are named the exoperiphons, also called the exoperiphates. They are the centrate and the omnate -- which are both monotrons -- and the actate, a duotron (composed of centrate-omnate).
      Periphons are also called selectons. Selectons are members of the versate regrouped for purposes of specialized categorization; selectons can alternately be defined on the basis of versotons other than the periphate.

      Let us observe the world through the eyes of a unitant in a unity. Visible to our gaze are our co-unitants as they function in various situations. To our direct senses they are the unital prototons -- complete, independent realities. But there gradually experientializes in our minds increasing awareness of the versotonic realities -- the roles of the prototons singly and in combination as committed, maturing versotonic realities of the unity. And we can perceive this versotonicity only because we espy the synthotonic oneness of the unitants at the synthoplanic levelate of the unity. Thus we recognize the versotons as specialized presences of the prototons -- or, more accurately, as specialized presences of the directons.
      (The prototons, though not restricted to unital function and not mutually interactive in the unity as prototons, are the basal realities -- that is, the independent, non-unity-derived realities -- of the unity and do change as a result of their evolving cooperation with one another as the versotons. In a sense, each versoton, by accommodating within its action and reaction pattern the actions and reactions of the other versotons, embodies in its being the patterns of those other versotons. This patterning of each individual versoton by all of the other versotons is known as versotonic accommodation.)

      Within the unity, the unital protoplane is the ground on which we, as unital prototons, walk with sure feet. Here spreads the entire prototonically sensible unital universe. Here tread men and women; here spin dust motes; here echo musical notes: realities in unassociated phases.
      The versoplane is the highest mountain in our unital universe, which we never ascend as independent prototons, but scale only as committed unity members and associations. Its lofty precincts are attained only as an inner experience, beyond the reach of our our senses, which exist and function at our levelate of enstructuration. The reason, deriving from fractiality, is twofold: (1) the monotronic versotons are versotonic projections of portions of prototons (versotonic projections of directialities) and (2) the multitronic versotons are versotonic projections of composites of portions of the prototons (composites of versotonic projections of directialities).
      Here dwell kings and queens (of prototonic subjects, which are directonic portions of persons); councils (of prototonic council members, which are directonic portions of persons); orchestras (of prototonic musicians, which are directonic portions of persons); married couples (of prototonic mates, which are directonic portions of persons), nations (of prototonic citizens, which are directonic portions of persons); galaxies (of prototonic celestial galaxy members, which are directonic portions, or attributes, of celestial objects) -- realities defined in terms of relationships, or roles referred to prototonic realities. The simultaneous indivisibility of each prototon and merging together between the prototons, in the arena of versotonic projection, of only portions of their being acts as a dovetail joint, a fibrous interleaving-of-being that will not fall apart yet will not collapse together, the essence of a unity. This aspect of fractial unity is referred to either as interlinking or as interlinks, depending on whether it is actional or structural, respectively. Fractiality refers more particularly to partateward phenomena, and interlinking to overateward phenomena.
      The synthoplane is the residing place of the absolute and (directly) unknowable oneness that, in ways beyond our (unital) comprehension, makes the scaling of the versoplane possible. The realities of the versoplane, the versotons, are superunitally-derived realities, the realitization of prototonically unimaginable harmonies and synergies that emerge from us individually and jointly in magical ways.

      A triate can more properly be referred to as a triate-unity, for every triate is an identifying triate, within whose being arises an identified multo-unity. From within our unity, the blue sky above us is the plumblessness of the triate of identity of which our multiatic proto-unital universe is only a part.
      To imagine, from our vantage in the unital protoplane or even from the unital versoplane, that we -- localized realities that are contained within that blue vastness -- could ever attain that vastness in our beings is a high thought indeed. But through their response to the unifier, the unitants transcend the multo-unity, realizing in their unity the estate of the unifier. And the unifier to which the unitants attain is the focalate of the unity's triate of identity.
      In the identifying triate of the unity, our whole unital versate is only the periphate -- one specialized part -- of the triatal versate. But because the periphate is our whole unital versate, you and I shall view the triatal versate in a frame of reference that centers around our contained unity. The triatal versate reveals within itself a tripartite nature when thus examined. The versate encompasses first, from our perspective of interest, the pure periphate. Second, the group of multitronic periphons (each of which is a mixture of periphate and exoperiphate). And third, the group of non-periphatal versotons, the exoperiphons. In recognition of these three versotonic natures, you and I shall refer to the periphate as the endon, to the group of exoperiphons as the exon, and to the group of remaining periphons as the associon: realities, respectively, that are, that are external to, and that are associated with, the periphate. The endon, associon, and exon are called the transons.

      In a unity, the unitantial prototons find themselves, under some unseen influence, developing a harmony in their roles as the versotons and bringing out, in their versotonically unified diversity, synergistic and transcendent realities. This is the influence of the unifier. The unifier is invisible -- in a sense, is the blue, encompassing heavens, beyond the direct attainment of the unitons. As manifest in the versoplane, the unifier is the exon -- actually, part of the exon (but such a sub-exonic distinction is unobservable from within the unity). In between the unattainable, absolute unifier and the finite unitants, however, is the complex, transtransonic link between unitant and unifier. This link is the associon, lying completely outside the endon (the versotonic realm of the unity), but realitized jointly through endon and exon -- or rather through sublevelate components of endon and exon. Thus, the associon is seen to be an interlink with reference to periphatally centered realities.
      The transons are versotonically realitized reflections of the protoate, functioning, as we have described them, in a multo-unity-centered frame of reference. As viewed from within the unity, the transons are called the transcendons, because they are the means and mechanism by which the unitons transcend the unital confines.

      Stepping back from the details of the picture that you and I have drawn, we see that each transon is the versate of an individual heterolevelate reality known as a transonate. The endon is the versate of a transonate named the endonate, a heterolevelate unity whose prototons are the triatal multiatons, whose synthoton is the featureless, unquantifiable triatal synthoton, and whose versate is the triatal periphate, the endon. The endonate is the verso-unity, syntho-unity, and multo-unity of the triatal endon, synthoton, and multiate, respectively.
      Beside the endonate in the triate is the transonate known as the exonate, whose protoate is the triatal exomultiate, or non-multiatal triatal prototons (focalate and diffluate), whose synthate is the triatal synthoton, and whose versate is the exoperiphates. The exonate is the multo-unity, syntho-unity, and verso-unity of the triatal exomultiate, synthoton, and exoperiphates, respectively.
      The remaining transonate, the associonate, does not possess a prototonic reality that is exclusively its own, but is grounded in the prototons that sponsor the endon and the exon. It shares in the triatal synthoton. And in the triatal versate, it is the multitronic periphons, each of which contains both a periphatal and a nonperiphatal versoton. The associon is the transonatic versate consisting of the periphate -- the periphatic versoton -- attached to the versotonic projection of the triatal focalate and diffluate, these latter two acting in effect as the prototons of a biunity.

  Figure 1.17. The Periphonic Transonates

      One can visualize the triatal versate in terms of a non-periphatally-centered, rather than a periphatally-centered, reference frame -- for example, a centratally-centered reference frame. Instead of the periphonic perspective, such a reference frame embodies the centronic perspective. The centronic selectons are called centrons. The constituent factors of the centronic versate lie in centratal versotonic groupings rather than in the periphonic versate. Thus the transons in the centronic versate have the same names -- endon, associon, and exon -- as the transons in the periphonic versate. But the centronic endon -- the endon of the centronic versate -- is the centrate, not the periphate. The centronic exon is the grouping of the omnate, periphate, and reactate (omnate-periphate). And the centronic associon is composed of the actate (centrate-omnate), the interactate (centrate-periphate), and the structate (centrate-omnate-periphate). The transons in this perspective are called the immanons, being viewed from outside the unity and being the means by which the focalate establishes a patterning presence in the unity, both on a total scale and in every unitant and uniton of the unity.
      Similarly, the omnonic versate includes its own rearrangement of the versotons, and the omnonic transons are called the transferons, which are the means by which the diffluate establishes a transferring presence from the focalate to the unity.

      What, you and I ask ourselves, as we regard in our minds the shimmering, darting realities of the triate-unity, is the triatal product? In the homolevelate view, the product of the triate is the multiate, a singlatic, overate entity of unspecified mutality, crafted from all of the individual multiatons. In the fullness of the heterolevelate perspective, it is a counterpart of that, the singlatic periphate, an experientially mutalized reality. And much more.
      It is the six other triatal versotons, each sustaining the triate, each sustaining the multiatal proto-unity, each sustaining the triatal versate, which vibrates with scintillating hues of submultiplicity as one, three, and seven. And it is yet more.
      It is the multo-unity.
      It is the vast, hovering, translevence-imbuing transons and their larger, multilevelate selves, the transonates. Except for the periphate -- the periphonic endon -- and the multo-unity itself, all of these realities lie either outside of or transcendent to the multo-unity. Born, like the multo-unity itself, in the folds of the triate, they labor, unseen and unseeable from within the multo-unity, in the blueness of the super-multo-unital sky, enwrapping, uplifting, and upholding the multo-unity and its evolving versate.
      All of these factors are primalate building blocks for other triates situated more finalateward on the glistening diamond ladder of the ascending chain of reality.

      As you and I contemplate these things, a conceptual door swings open to us. Beyond this door hovers a unity unlike any we have yet encountered. It is a biunity, a structurate generally familiar to you and me. But its unitants seem out of place. To understand the significance of this multiunity and its biunitants, you and I must learn about unitence and its related factors.
      In order to be a unifier, a reality must possess within its being some agency that causes its associated unitants to respond to it, patterning their individual and collective beings in echoing similitude of that of the unifier. This agency of the unifier is called unitence.
      Unitants, also, possess unitence, though in a reactional sense, rather than in the activational sense of the unifier. Unitence in unitants is called unitivence, or unitivity; the unitants, accordingly described as unitivent, or unitivistic, are called unitivons. In their unital role as unitants, they are referred to as unitivates. The unifier's activational manifestation of unitence is called unipotence, or unipotivity; the unifier, therefore, described as unipotent, or unipotistic, is called a unipoton. In its unital function as unifier, it is referred to as the unipotate. Since a triatal focalate is the unifier of the triatal multo-unity, any focalate is a unipotate over all of its associated multiatic multiatons (multo-unital unitants), which thus function as unitivates. Unipotons and unitivons are also called unitrons, these three designations being constitutional terms. Unipotates and unitivates are also called unitrates, these three designations being functional terms.

      You might wonder whether the concept of unitence displaces the role of the diffluate as the medium of influence between focalatic unifier and multo-unital unitant. No. Unitence is a single, golden thread winding through focalate, diffluate, multiate, and multiaton alike, joining them together as a cohesive whole. Unitence facilitates the focalate-diffluate junction as well as the diffluate-multiate interface. Unitence enables the unifier to guide and the unitant to follow in the harmony of the unity. As the unseen distributor of unity to a vast universe of things and beings high and low, simple and complex, unitence is unity.
      Unitence -- unity -- is a single, universal reality. Every unifier or unitant receives its unitence from the ONE unitence, which surges up to each, a boundless fountain. Though undifferentiated throughout its measureless being, unitence can localize by associating with a non-unitent reality -- otherwise known as an isotence, or isoton, also called an isate. An isotence that is such a medium of manifestation of unitence is called a uniality. The total reality of a combined unitence and uniality is a unitron.
       The localization of pure unitence in a unitron is called a unitention, being a unitpotention or unitivention as it is a localization of unipotence or unitivence, respectively. A unitron is either a unipoton or unitivon as its unitention is a unipotention or unitivention, respectively. Thus any unifier or unitant is a unitron possessing its own individual localization of unitence. An isotence that is not a uniality -- that is, that is not associated with a unitence in and as a unitron -- is called an inchoality.
      One can visualize unitence as an elastic tension which tends to pull together isotons. Without unialities inside its elastic squeeze, a potentially localizing, or unitentionizing, unitence would collapse upon itself and disappear as a localization of unitence, a phenomenon known as deunitentionization, or unitent delocalization -- more specifically, deunitiventionization or deunipotentionization.

      To speak of more than one unitence is a contradiction in terms. However, even though unitence is one non-localized universal reality, one can in certain instances refer to "a" unitence, implying localization: one unitence, as contrasted with another unitence. For to the observation of non-unitences, unitence can individuate as a manifestation of apparently non-unialitized unitence: pure unitence. It accomplishes this localized diminishment of quantitative -- but not qualitative -- universality through association with what is called a unitent uniality -- the equivalent of a uniality that, to non-unitences, is itself near enough to the estate of unitence to be indistinguishable from the universal unitence of its association.
      Until they become associated with isotonic unialities, thereby becoming unialitized unitentions, however, such unitentions, known as free unitentions, do not function in the planes of reality as we know it -- in non-unitent, or isotonic, reality. The universal direction of reality movement, or association, is unitenceward for isotons and isotonward for unitences.
      A unitention, whether free or unialitized, is an individuation of pure unitence and (qualitatively) is to unqualified unitence as a drop of water is to the sea. It is unitence, and it is a unitence.

      To visualize unitentions, one can imagine sucking small bubbles of air into various areas of a large, thin sheet of rubber. This creates bobbing, balloonlike spheres, each of which one then twists into stability, trapping the air inside it. The rubber sheet in this analogy is undifferentiated unitence. Each encompassing rubber sphere is a unitention, a localization of unitence, regardless of whether the unitention is a unipotention or a unitivention. The air inside a given sphere, which gives form and identity to that individual unitention, is the unitention's uniality. Combined air and rubber sphere is the unitron. Unitent delocalization is visualized as one of the bubbles being either untwisted or not twisted completely, the air escaping, and the thin rubber of the former sphere thickening and returning to its previous unstrained, unassociated phase.

      You and I are fast approaching, now, a conceptual area where unity pervades on all sides, where concept takes on increasing aspects of convergence, where difference becomes increasingly elusive. But we continue to pursue the visualization that is developing in our awarenesses, for the lack of conceptual resolution between ideational similarities effectively bars basic insight and the profound understanding that depends upon it.
      Unitronization is a process of becoming, or associating with, a unitron, and can be of three sorts. Unitent unitronization is a unitence becoming the unitention of a unitron. Unialitistic, or isotonic, or isatal, unitronization is an isoton becoming the uniality of a unitron. Unitronic unitronization is a unitron being born into unitronhood.
      Unitentionization can take on three forms. Unialitistic, or isotonic, or isatal, unitentionization is an isate becoming associated with a unitence. Unitronic unitentionization is a unitron attaining to its being as a possessor of unitence. And unitent unitentionization is unitence attaining to manifestation as unitence on a non-unitent plane, as a partner with a uniality (either unitent or isotonic).
      Unialitization can be of three varieties. Unitent unialitization is a unitence becoming the unitention associated with a uniality. Unitronic unialitization is a unitron becoming the possessor of unialitistic realities. And unialitistic unialitization is an isoton attaining to the status of a uniality as an associate of unitence.
      Equivalencies exist between these terms, but they bear different emphases. For example, unialitistic unitentionization, unialitistic unitronization, and unialitistic unialitization each signifies an isoton attaining to the status of a uniality, but with emphasis on the aspect of the unitence, the unitron, and the uniality, respectively.

      With these unitence-related factors in our understanding, you and I can now comprehendingly examine the unusual biunity before us. A unitent multiunity is a multiunity whose directons are unitentions -- either unipotentions or unitiventions. The directiatons in all the sub-directiatal planes of the unitent directiate are thus unitentions, and the subordiatons in all the sub-subordiatal planes of the corresponding subordiate are unialities.
      The biunity upon which you and I now gaze is a unitent biunity, the conjoining of two unitentions of separate unitrons. Let us examine its versate. See, there, three versotons populating its versoplane, each a unitention. The two monotrons are the versotonic projections of: (1) the unitention of the first prototon and (2) the unitention of the second prototon, respectively. The single duotron, the sumotron, is the versotonic projection of the unitention of the first prototon and the versotonic projection of the unitention of the second prototon joined as one.

      You and I know that each of the versotonic unitentions in the unitent biunity before us must be allied with a uniality or else disappear from existence, through unitent delocalization. The function of the completiate is to provide the complo-versatal fusing chamber where the versotonic unitentions can unialitize into the light of existence by aligning themselves with the subordoversotonic unialities of the subordiate.
      The unified association of corresponding unialities, the bisubordiate, parallels the bidirectiate, being unified, not by elements within its own structure, but by elements within the structure of the unitent biunity; that is, the unialities are unified with one another indirectly, outside the multiunity, through their unitentions, which are unified with one another directly, inside the multiunity.

      Because the reality that you and I are investigating is a unitent biunity, we shall center our exploration around the four unitogrates of which the biunity is one: the unitent biunity, its associated unitent bidirectiate, its associated unitent bisubordiate, and its associated unitent bicompletiate. (The term, unitent, in the designation of each of these integriates refers to the nature of the directon of their basiate. Thus, even the subordiate, which possesses only unialities and no unitentions, is called a unitent subordiate.) The unitent biunital unitogrates are called biunifiates. The biunifiates and their components, we shall refer to with special names deriving from descriptors of triatal function (unipotate, unitivate) rather than descriptors of biunital constitution, for, as we shall see, unipotent biunities give birth to unipotent triates.
      In the unitent bicompletiate, the completiatons -- both comploprototons and comploversotons -- are unitrons. The unitentions and unialities of the bicompletiatal comploprototons are the directoprototons and subordoprototons, respectively.
      A unitent biunity is called a biunitratiate, or fracto-biunitratiate -- more specifically, a fracto-biunipotatiate if the prototonic unitrons are contributing unipotentions to the biunity and a fracto-biunitivatiate if the prototonic unitrons are contributing unitiventions to the biunity. A unitent bidirectiate is called a directo-biunitratiate: more specifically, a directo-biunipotatiate if the prototonic unitrons are contributing unipotentions to the biunity and a directo-biunitivatiate if the prototonic unitrons are contributing unitiventions to the biunity. A unitent bisubordiate is called a subordo-biunitratiate: more specifically, a subordo-biunipotatiate if the prototonic unitrons are contributing unipotentions to the biunity and a subordo-biunitivatiate if the prototonic unitrons are contributing unitiventions to the biunity. A unitent bicompletiate is called a complo-biunitratiate: more specifically, a complo-biunpotatiate if the prototonic unitrons are contributing unipotentions to the biunity and a complo-biunitivatiate if the prototonic unitrons are contributing unitiventions to the biunity.

      As the directoversotonic unitentions of a biunitratiate become unified, in the bicompletiatal experium, with the subordoversotonic unialities supplied by the bisubordiate, the composite unitentions-unialities transmute into the unitrons of the bicompletiatal comploversate; and the biunity increasingly transmutes into a bicompletiate, a complo-biunitratiate whose completiatons -- comploprototons and comploversotons -- are all unitrons, each partra-unified within itself, all ovra-unified together.
      Thus, you and I see that the unitent biunity that we are examining is a biunitratiate, a fracto-biunitratiate, whose unitent duotron, the versotonic conjointness of the prototonic unitentions, escapes -- as a conjointness -- from deunitentionization, by unitronizing in the complo-biunitratiatal versoplane. And it becomes clear to us that unlike other multiunities, unitent multiunities must realitize in the completiatal versoplane, not just the multiunital versoplane, in order that the versotons do not disappear through unitent deunitentionization. This requirement, which is known as the unitence completiality criterion, is stated as follows:

A unitent multiunity must be a completial multiunity.

  Figure 1.18. Phasialital Aspects of Unitent Multiunities

      All that has been said, in this discussion, of biunifiates -- unitent biunities and their co-unitogrates -- can be said, more generally, of multiunifiates. In order for the unitent versotons in a unifiatal multiunity to unitronize, each unifiatal fracto-multiunital prototon -- unitron -- must consist of a perfectly unified, or partra-unified, unitention and unialities (endionic or exionic). Only in this way will each prototon be able to convey unialities that it controls to its unitent versotonic offspring. Also, for each possible grouping of multiunital prototons, the prototonic unialities that the grouping conveys must align with one another in the multisubordiatal versoplane as a single conjoint uniality corresponding to a unitent directoversoton of the multidirectiate.

      A triniate is a unitent multiunity that incorporates trions in its being. A unitent biunity, multiple as (2:1:3), is a triniate, because it is a unitent multiunity and its versotons are trions. Since its trions, which qualify it to be a triniate, are radions, this type of triniate, a unitent biunity, is called a biunital triniate, or radiative triniate, also known as a radio-triniate.
      A unitent triunity, multiple as (3:1:7), is a triniate, because it is a unitent multiunity and its prototons are trions. Its trions being gravitons, a unitent triunity is denominated a triunital triniate, or gravitative triniate, also known as a gravio-triniate. Triniatal trions, both radiative and gravitative, are called triplons.
      The dominant activity, or attribute, of a biunital triniate -- a radiative triniate -- is occurative movement away from the synthotonic oneness; that is, is diversification, in producing the third, or conjoint, triplon. The dominant activity, or attribute, of a triunital triniate -- a gravitative triniate -- is unification, occurative movement toward the synthotonic oneness. Since triniates are multiunities, they are subject to fractiality. The triniatal unitogrates are denominated triniato-fractiates, triniato-directiates, triniato-subordiates, and triniato-completiates.

      Unipotate and unitivate are relative terms relating to function within a specific triate. A prototon that commits its unipotence to a multiunity is contributing its unitence as it pertains to triates in which the prototon is the unipotate. It is contributing its regencies, or rulerships -- its crowns. A prototon which commit its unitivence to a multiunity is contributing its unitence -- its subjectedness, or responsiveness -- as pertains to triates in which it is a unitivate.

      The three comploversotons of a biunipotatiate can form an immediately finalateward triate in which the three comploversotons are the triatal prototons. Such a triate, which results from the conjoining of two ancestral prototons in the biunipotatiate, is called a coniate. The focalate of a coniate, in creating the multo-unity of the triate of its focalateness, thereby becoming a unipotate, is a conjoint creator, the creative conjointness of the two ancestral prototons in the biunipotatiate. The coniatal focalate is a conjoint unipotate, called a conipotate, which is a conjoint unipoton, called a conipoton. The coniatal diffluate and multiate are conjoint unitivates -- conitivates -- which are conjoint unitivons -- conitivons. The conjoint unipotention of a conipotate or conitivate is called a conipotention. The conjoint uniality of a conipotate or conitivate is called a coniality. A coniatal focalate, diffluate, or multiate is referred to as a conio-focalate, conio-diffluate, or conio-multiate, respectively.

      The two-story combination of a unipotent biunity and a unipotent triunity -- a radiative and gravitative unipotent triniate -- that is, a biunipotatiate and its resultant, immediately finalateward coniate, is called a trinitivity. A trinitivity is primalate in the two unipotonic biunital, or radio-triniatal, prototons and finalate in the seven unipotonic triatal, or gravio-triniatal, versotons -- more accurately, in the seven unipotonic gravio-triniatal comploversotons. The radiative phase of a trinitivity, the biunipotatiate, is called the radium. The gravitative phase of a trinitivity, the coniate, is called the gravium.

  Figure 1.19. Trinitivity

      The unitentions -- directons -- in a trinitivity can only be unipotentions and not unitiventions. The unitivons creating a unitivent biunity, or biunitivatiate, can contribute some of their endionic, or direct, unialities to the radiumic subordoversotons and hence to the radiumic comploversotons. But such radiumic comploversotons, being unitivons, can possess no unialities other than endionic unialities to contribute in turn to the graviumic subordoprototons, hence to the graviumic comploprototons and the finalateward graviumic comploversotons; therefore, the graviumic comploversotons, as well as the radiumic comploversotons, both would be unialitized from the radiumic prototons, reducing the supposed trinitivital gravium to merely an auxiliary unitivent multiunity and not producing a true two-story trinitivity.
      Trinitivities are subject to fractiality, the trinitivital unitogrates being denominated trinitivo-fractiates, trinitivo-directiates, trinitivo-subordiates, and trinitivo-completiates.

      Triniates and trinitivities are known as trinates, also as treities. Trinates, whether single-storied, as in triniates, or double-storied, as in trinitivities, possess pure unitentions as directons.
      Trinates, both single-storied and multi-storied, being subject to phasiality, are fractial trinates, and each is associated with similarly-storied integriates of the directiatial, subordiatal, and completiatal type. In accordance with the unitence completiality criterion, trinates, since they are unitent multiunities or combinations of unitent multiunities, always possess evolved completiates, hence prominent integriates of all types. Thus, coordinated unialital unification always accompanies the unitent unification occurring within a trinate. Trinitivities are always unipotent in directonic nature. Trinatal unitogrates are called trinato-fractiates, trinato-directiates, trinato-subordiates, or trinato-completiates as they are fractiatal, directiatal, subordiatal, or completiatal in nature; their prototons or integro-prototons are evolving unitrons, unitentions, unialities, or post-evolutionary unitrons, respectively.