• • ONE DIMENSIONAL HOMING • •
So far the number line has been used in two ways. 1) To label the concentric circles of our crossection model, with equidistant pairs of numbers. 2) To create the fundamental parameters of the model in its own way, by connecting point and sphere with a geometric progression of logic. Now let’s look at how the number line can be used to describe the salmon-like homing forces of concentric containment and coagulation, in a linear form, with its equidistant number pairs.
• CONVERGENCE AND DIVERGENCE •
When we describe the process of homing with equidistant pairs of numbers, the vision of concentric spherical stages imploding on a center, becomes altered into one of opposites that converge upon a linear midpoint. In this way the number line becomes a one dimensional diagram revealing spherical forces, not easily seen in the original implosion / explosion theory.
The Apart/Together Model
Our first example of convergence and divergence involves an elegant simplification of the homing process that I call the apart/together model
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The Apart/Together model shows the convergence and divergence of opposite number pairs, as they represent the compression and radiance of spherical forces.
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The four steps of isolation to integration, found in the apart/together model, describe a one dimensional procession of opposites converging and diverging. When these steps are translated into a three dimensional model, they describe the model’s overall condition of containment within the confines of its universe. In the apart/together model, we view the spherical forces of implosion and explosion as similar in fundamental design, with the only difference between them being the con-vergence of one vs. the di-vergence of the other.
At the 1/9 stage of this model, we see a condition of opposure that is extreme in separation. The numbers 1 and 9 are disparate and isolated by virtue of their extreme endpoint positions along the one dimensional plane, as well as the extremes of point and sphere they represent. Because of this, we come to view these numbers as opposites that are distinctly apart and not communicating.
At the 2/8 stage we see another pair of opposites that, altho still apart, carry an element of communicative flux within their representative form. In the dimensional model, the 2 and 8 represent the first and last impetus of motion (no direction vs. all directions). Because of this, these opposites are considered to be apart but communicating, in either a con-vergent or di-vergent manner, upon the ultimate midpoint of the number line.
At the 3/7 stage, we see a pair of opposites that, because of a continuing ‘nut in shell’ condition of separation, seem as apart as the previous two. However, when we look back at previous models we are reminded of the advent of the three dimensions of reality that occur between these numbers on the dimensional model. We are also reminded of the advent of a tangible surface, as described in our planetary model. In this way, the numbers 3 and 7 represent a kind of skin of connectivity that makes them special. This is the point at which converging spherical forces first begin to touch each other and coagulate into a recognizable form. Therefore the elements of 3 and 7 are considered together but not yet intersecting.
Finally, at the 4/6 stage, we see our last pair of opposites. In the 4 and 6 we see a pair that is not only together and touching, like the 3 and 7, but because they represent the spiraling mass of the spherical model, they are also considered to be intersecting, or overlapping, two dimensionally. In this way the 4 and 6 represent the condition of reciprocity that exists between opposites that cross over the midpoint in pursuit of equilibrium (see Angular Momentum). As opposites go then, they are integrated - like a cosmic handshake at an infinite point of convergence.
Through this isolation to integration spectrum we see how each finite model is in fact an isolated entity, apart from all others, and isolated amid the continuum of nothingness from which it came (1/9). We can also see how each model must relate to models separate from itself. In other words, models must continually converge and diverge, as cycles continue around them (2/8). Of course when finite models converge and connect, we see how the physical contact between them is purely tangential, (only non-model forces are capable of wholistic unity) (3/7). Finally, we observe how all models must coagulate into larger entities (4/6). Of course the larger entities that are formed by coagulation immediately repeat these conditions by virtue of the fact that they remain isolated from other larger entities (1/9), and must eventually relate to them (2/8), connect with them (3/7) and integrate to form even larger entities (4/6).
As humans, we too are all entities, isolated (1/9), relating (2.8), touching (3/7) and integrating (4/6). Thus we see how, in human terms, each of us can be broken down into constituent parts, while at the same time remaining constituent parts to a larger whole. In this way, we see how genetic integrity remains intact throughout - both literally and with respect to our models forces.
This is the nature of the apart/together model, that of isolation(1/9), communication(2/8), transition(7/3) and reciprocity(4/6). In some ways this model is the most simplified of all our models so far, and at the same time the most powerful to build upon. By creating a model that moves from a condition of ‘apart & separate’ (1/9), to ‘connecting and intersecting’ (4/6), we incorporate the conditions of homing into a one dimensional number line form.
The Emanating Five
In continuing with the apart/together model, we move on to the number five in the middle of it all. First, we must remember that the number five, on the number line, is not the number for the inner absentia, but for the point at the center which contains the inner absentia. Likewise, the number zero is not the number for the outer absentia, but for the infinite non-model of nothingness, beyond which is the outer absentia. Therefore, as our first observation we must conclude that the five is indeed much like a nucleus within the 4/6 body of the spherical model (the kernel within the nut, within the shell).
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The five is like a kernel within a nut within a three layer shell.
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On the one dimensional number line, the number five is also like a glue, holding the equidistant sets of numbers together. And, because of its infinite in-between state, it is also considered a neutral mediator between these two sides. Because of this, we must also conclude that as a matter of necessity it must also belong to both sides equally. But, at the same time, we must also acknowledge the fact that it can only serve one side of the number line at a time. In other words, if we divide the five equally between the two number line halves we would only repeat what is already there, two sides with a middle. This means that, as a middle, one of the fundamental characteristics to be found within the number five is going to be that of alternation between sides. In other words, since the five cannot serve both sides at once - it must alternate its influence between the two.
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The five is like a glue holding the equidistant pairs of opposite numbers together - or apart! The five is a neutral mediator between sides. It does not belong to either side. In belongs to both sides.
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When this linear idea is applied to our three dimensional model, we see how the alternating effect of the five is in accordance with the rapid succession of implosions and explosions within the form of the spherical model itself, as the compression and radiance of coagulation becomes a process that continues for the life of any entity. The five becomes a mediator between the in and out of this process, or the left and right as opposites on a number line are used. In the end, the speed of this alternation can at times become so fast as to appear completely neutral and stationary, giving further associations of neutrality to this midpoint position.
For an analogy of this alternating effect we can observe a phenomenon known as retinal rivalry. Retinal rivalry occurs when two different images, say one black and one white, are shown to different eyes of the same brain. Since the brain is not capable of seeing both together it ends up alternating between the two, continually changing one into the other as they compete to dominate the single brain. This phenomenon can also be seen in the examples of the figure/ground illusions, and Nekar’s cube
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The figure ground on the left, and the Nekar’s Cube on the right demonstrate the concept of retinal rivalry. Constant alternating back and forth without resolution, that is what the 5 is all about.
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In the tarot deck, the card labeled Temperance is shown with two goblets, pouring water from one to the other, and presumably back again, thus symbolizing the alternation of this position. Likewise, the Hierophant card is shown with two monks standing before him competing for attention in much the same way as the two sides of our number line. Thus, we see the Hierophant as alternating his attention and holding sides together.
The Neither, Either, Both Model
As we continue, we can observe how an emanating midpoint of a number line can also be used to create a model of divergent action that can be added to our repertoire of forms. This next model is called the neither, either, both model.
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The absentia is the ultimate “Neither” - it is neither black nor white, neither everything nor nothing. The Five is the ultimate “Either”, alternating back and for between either black or white or everything and nothing. The 4 and 6 are a marriage of “Both” black and white or everything and nothing. The rest are in some degree of opposition, diverging or converging.
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In this model, the absentia (held within the five) is seen as having a special place of excluded opposition to that of the finite number line. Thus we view the absentia as an ultimate ’neither’ to the rest of the number line - as in neither here nor there (or neither chicken nor egg)(see predictable paradox). The 5 on the other hand, has already been described as an alternating midpoint, alternating in rapid successions that are in accordance with the implosions and explosions of spherical coagulation. Because of this it is viewed as an ultimate ‘either’ - as in either this side of the number line or that side. Next we observe how the 4/6 cluster of the model’s mass can be viewed as a combination, or marriage of opposites, as they spiral down the magnetosphere cones of the mobius twist together, creating a double helix of opposing forces, like chocolate and vanilla in the blender. Because of this association, the 4/6 is viewed as a reciprocal combination of opposites - as in both this side and that.
Finally, we see how the 3/7, 2/8 and 1/9 reflect the progressive distance from an ultimate goal of definition as described by the apart/together model. Thus, as a pair that is no longer apart, and not yet intersecting the 3/7 pair stands for qualities of sameness and simultaneity between sides, while the convergent or divergent 2/8 pair represents the idea of bifurcating nature and fractal geometry. While the 1/9 pair represents the outer reaches of the model’s form and the idea of isolation, distance and limits.
Thus by using this ‘neither, either, both’ model with the apart/together language model we can again visualize the five stages of the spherical model itself. And, by redefining our parameters, we can now see how our original five step progression of creation is not only one of reverse-entropy stabilization from ‘no concept at all’ (outer absentia) to the finite concepts of the model and its excluded middle (inner absentia), but also a progression from total isolation and beyond (outer absentia >> apart & separate), to total integration and beyond (intersecting & exchanging >> inner absentia). Let's look at another way of diagramming these ideas...
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Here is a combination of the apart/together model and the neither, either, both model, showing the simultaneity of the 3/7 stage and the crossing over of the 4/6 stage... like chocolate and vanilla in the blender!
Hey, I just noticed something... this diagram looks very similar to The Tree of Life diagram used by the Kabbalah! Interesting.
The idea is certainly the same. Out of the ineffable comes a binary system of opposites, that connect the mundane to the divine, and ultimately returns to its origins.
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Absentia: As a model that eminates from its center out, the ‘neither, either, both’ model accurately identifies the condition of the absentia as the ultimate ‘neither,’ - as in neither here nor there. By being an ultimate ‘neither’ the inner absentia is like the eye of a hurricane amid the spiraling mass of the model. It is calm, empty and sits completely apart from the activity around it.
The 5: As we examine the next stage of this model, we find ourselves radiating out from this center, to describe the condition of the alternating 5 which holds the absentia. As an ultimate ‘either’ this position describes to us the alternating or pulsing action that both accepts and emits waves of flux - the heartbeat of our living model, or the put, put, put of our cosmic engine!
The 4/6 sphere: The ‘Both’ part of this model, describes the number line’s linear opposites, united in co-mingling fashion by the alternating five, like two colors of playdough rolled together, or two people shaking hands.
The 3/7 sphere: As we depart from the center, we see how manifest definition begins to ‘unwind,’ as the next three steps show us how opposites relate before spiraling together into the all important mass. This is where we encounter the surface of the mass or the ‘skin’ that contains the three dimensions of manifestation. By being a metamorphical, point of transition between positive and negative charges, the 3/7 position reveals spiritual qualities that make it very popular with mystics and religious groups. This of course is where we (the incarnate beings of two mobius ‘Gods’) theoretically touch our individual apprehensions of Go-o-d - or D-evil. Wholistic apprehension, or ‘seeing God’, is the result of achieving oneness within our own concentric spheres of theoretical containment. When followed by the explosive eight, God’s ‘touch’ lifts us up and out of our three dimensional finite prison, and into the space/time atmosphere of the 2/8 heavens.
Viewed equidistantly the 7,8,9 trinity of expression represents a spiritual awakening, i.e. breaking out of the mass (5,6,7), into the heavens (8), and on to infinity (9). While at the same time, the 1,2,3 trinity of creation is seen as an expression of Gods touch in the manifest world, i.e. reaching in to our world, to create a finite entity out of an intangible absentia. Thus the 1,2,3 trinity of primary creation is seen as the first act of the hand of God, while the 7,8,9 trinity of expression becomes the final act of each creation back to its creator.
The 2/8 sphere: Moving on, we view the 2/8 stage as a representation of the imploding impetus of time and motion in the 1,2,3 trinity of primary creation. Time and motion are described as imploding from nowhere. While in the 7,8,9 trinity of expression, energy and space radiate back, out to the beginning. When viewed equidistantly, we see how time and space occupy the same theoretical sphere. Because of this, we view the 2 and 8 as a space/time atmosphere of sorts, surrounding the model with a layer of ‘relative incomprehensibility’.
The 1/9 sphere: Finally, at the extreme ends of all of this, we find the 1/9 sphere, poised to begin this whole mess. On a spectrum of one dimensional homing, the 1 and 9 represent the most irreconcilable, antithetical separation possible. But because moving to such extremes only pushes us toward the outer absentia, antithetical associations like point and sphere actually end up being identical in kind. This of course is the key to the endless ascent of number lines, as they attempt to move as far from each point as possible only to return again.
• RECIPROCITY •
In continuing with our analysis of the model’s mass and center and its reciprocal alternating qualities, the idea of reciprocity becomes an important issue to address. Reciprocity comes in many forms. Even the yin and yang symbol that we borrow from the chi incorporates reciprocity into its simple design, as these two characters resemble our previous analogy of kids chasing each other around a tree (see angular momentum). This un-ending game of ‘tag’ was used to describe the result of finite opposites converging on an un-obtainable midpoint of definition in a spiral-like fashion. But this is not the only form of reciprocity to observe in our model or number line.
In a spherical form we can observe that; because all points radiate a sphere of influence, and all spheres of influence ultimately converge upon a single point, a reciprocal relationship exists between the inside and outside of our model’s concentric spherical form.
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Every point radiates a sphere of influence. Every sphere encloses, contains and converges upon a point.
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From this we can see how it makes our point and sphere essentially the same in character, thus enabling each to be transformed into the other without changing the form of the model that lies between. Kinda like untwisting the twisted half of a mobius band, only to find that you have now twisted what was untwisted! Thus reciprocity becomes another signature of nature to address in detail.
Particle and Wave
As an example of reciprocity in nature, the particle/wave characteristics of light offer us a scientific analogy for the place our model has in the universe. For many years people have debated on whether light is made of particles or waves. It always seems to exhibit characteristics of both. Conclusions that lead to acceptance of both, also lead to a pattern of reciprocity within our model. Here’s how.
Science has observed that wave frequencies can be combined, to form distinct, definable patterns that can then take on characteristics of particles. It has also been observed that particles move through space to form patterns with wavelike configurations thus leading to the notion that light is both wave and particle. When we attempt to assimilate this controversy into the stages of our model, we naturally consider a wave to be less tangible than a particle and as a result associate it with the external reaches of the model and the ‘waves’ of concentric development that emerge from nothingness. The internal mass, however, has already been described as a particle, a particle created from these imploding waves of nothingness that surround it! Thus from the vantage point of our model we see how; waves can combine, or coagulate, to form particles and how particles will emanate, or disseminate, in waves. By standing at the transitional 3/7 surface of the model’s skin we can see how we, become situated on the fine line between the reality of the mass (particles) and the intangibility of the not yet coagulated (waves)!
Light Waves
Light waves go from short to long, or from very fast oscillation of cycles-per-second, to very slow, or, from extremely intense to extremely weak. When the intensity of the oscillating waves becomes too much, or too little to perceive, they are essentially the same - like point and sphere. As an allegorical model, the intense end of the light wave spectrum belongs with the converging, radiating mass, and the weak end with the outer portions of the model as it fades into nothingness.
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The internal mass is a particle created from the imploding waves of nothingness that surround it!
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5) The most intense cycles-per-second wave is the Cosmic. Cosmic waves are considered the source of all other light waves. Placing the cosmic waves at the number 5 gives us an idea of just how fast the alternating midpoint shares its influence between theoretical halves! The alternating effect of course comes from the peristaltic wave-like continuance of implosion and explosion, or solve et coagula through an entity.
4/6) The next most intense wave on this spectrum belongs to the 4/6 sphere. These are the Gamma and X-ray waves. The predominant characteristics of Gamma and X-rays is their ability to penetrate solid objects, revealing the fragility of things considered solid. Gamma and X-rays go right through human tissue and cause disturbances in molecular and atomic continuity that can be deadly. If we accept that the model represents forces in nature, and within humans, then we would equate the ability to penetrate solid objects with that of ‘mind over matter,’ and Karate masters who perform impossible feats of destruction upon ‘solid’ objects. Whether karate masters actually produce gamma rays before striking a solid object is irrelevant. The point is, the intensity of the model’s cluster, whether it be within the heart of a human, or at the center of a galaxy, is an intensity of great magnitude and penetrative capability.
3/7) The next group of waves belongs to the 3/7 sphere. This is of course where we find the visible light spectrum and the ultra-violet and infra-red that enclose it. Unlike X-rays, Visible light does not penetrate, but instead is absorbed and seen as color on the surfaces, or skin, of objects. The uniqueness of the visible light spectrum, the way it illuminates our daily lives, makes the 3/7 position special to the idea of reality. We could say that it is in fact here, and only here, where ‘reality’ actually comes into focus, and becomes ‘one’ with our perceptive capabilities, making this position analogous to a ‘radio station of reality’ on a dial of relative incomprehensibility. The 3/7 position is a theoretical dividing line between ideas like reality and fantasy. Reality of course existing within the 3/7 skin, and fantasy existing beyond the 3/7 skin. This association to fantasy and reality would of course make this position, and the numbers 3 and 7, of great significance to creative, spiritual, mystic and religious people. And so they are.
2/8) If Gamma and X-rays penetrate, and visible light is absorbed, then surely the short, medium, and long radio waves will bounce off - and so they do. They bounce off buildings, clouds and satellite dishes with predictable regularity, making them useful for communication of great expedience across great distances, communication that is as immediate and direct as the ‘path of least distance’ they represent through the 2/8 atmosphere of the model.
1/9) Finally, the final set of waves belongs to the 1/9 position. They are associated with all the slower waves too weak to penetrate, absorb, or bounce off. They are simply there, surrounding objects the way the 1/9 magnetosphere surrounds the model.
Interference
By describing the concentric steps of coagulation in terms of wave-like patterns upon a center, we can speculate on the idea of wave interference as a contributor to the alternating effect of active and passive stages of development in our model and number line (as seen in the film loop analogy, and the dimensional model). This would reinforce the idea of implosion and explosion co-existing within the same theoretical space, by offering evidence of opposing paths of longitudinal wave propagation that would create for us the intermittent interference patterns of cancelled and doubled light pockets. These would then correspond to the pause of the 1/9 sphere of influence, the action of the 2/8 motion, the pause of the 3/7 transition and the action of the 4/6 spiralling mass.
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Inward bound coagulating waves meet outward bound radiating waves and create pockets of interference at the critical stages of development... which we then illustrate, or diagram, with four circles and a point.
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We could then theorize that the resulting light waves would be organized or regulated by the 3/7 transitional stage (see apart/together, neither,either,both), as this point of development would now represent a filter of sorts, allowing the midpoint of the number line (5) to send back all incoming light in an opposite wave pattern, to pass through the 3/7 stage in only one direction or another. Such orderly passage would again result in combined wave lengths and interference patterns, and reinforce the concept of reciprocity between the outside and insides of the model
Summary
This is how we view the equidistant qualities of the number line and the ideas they bring to our three dimension model. Not just a stagnant stationary labeling of parts, but a living, pulsating entity of life. Converging and diverging upon a central core. Like breathing in and breathing out, our model LIVES!
• THE LIVING MODEL •
Solve et Coagula
Solve et Coagula is an alchemical term that appears occasionally in tarot decks of the past, in connection with the card labeled ‘The Devil’. The Devil carries with it the number 15. As in all numerology, multiple numbers are always added together and reduced to a single digit. In this case 15 = 1 + 5 or 6. This means the Devil card is describing the 4/6 mass of the model and its characteristic behavior of coagulation and eventual radiance as the mass of our model becomes alternately fused and exploded. Solve means to dissolve or break apart, disintegrate, and coagula obviously means to coagulate, come together, fuse. Solve et coagula describes the diminishing intensity of paradox toward finite definition. Coagula is to define, Solve is to fade back into the symmetry of nothingness that surrounds all coagulated entities.
Coagula) Thus, by approaching the cluster of any model with equidistant number pairs, or concentric circles, we feel the resistance of the mass pushing us back. At the same time, we also feel the incompleteness of our homing cycle, pushing us in. Near the center, we encounter tremendous forces capable of fusing the mass - that’s Coagula.
Solve) On our way out, we sense a relaxation of the fused, twisted, compressed area of the mass. At the surface, we feel the perfect peaceful pause of the neutral membrane of transition. Ahead is the open area of the model’s atmosphere and its characteristically direct path of ‘least distance’ and ‘near simultaneous’ passage. Further and further away from all this, is the nothingness from which we came - that’s Solve.
Karma
Karma is similar to the fountain analogy used before. Karma is like the invisible absentia that passes through the model, to change form and return, or like the ‘message in the bottle’ story. A man alone on an island, with a plea for help cast adrift in a bottle. The bottle travels out, away from its source. When it is found it causes a return journey, by a recipient, to a source it has never met. The sender of the message does not know if he will get a response, or if he does what kind, or from where. All he can do is send the message and wait, wait for his karma to return.
Of course if he sends the same message every year, or every day, his chances of a response increase. Likewise, if he could control the randomness of the ocean and send messages in all directions, the chance of a response would increase again. Of course if he were in zero gravity, he would want to send messages in an all directional spherical pattern. As it happens, this is exactly what our model does during the perpetual implosions and explosions of solve et coagula.
Of course not all models implode and explode, or compress and radiate with the same potency. The ability to sent and receive forces can be compared to casting a hook into the water in hopes of catching a fish; the stronger the mass of the model, the farther it can cast, and the more it can reel in. In this analogy, the ‘hook’ lands in the water at the 1/9 stage of the spherical model. Reeling it in correlates with the 2/8 stage of immediate and direct passage, and the funnelling of the funnel, tunnel and maze diagram. Next, we meet the catch at the surface, or 3/7 stage of spherical development. And finally, without hesitation, we gather it into the boat and add it to the growing mass that represents the 4/6 stage of development.
In theory, karma is the end result of praying, chanting or whatever method you chose to send your message adrift. But it can also be used to help explain destiny, coincidence (synchronicity), and the idea of pre-destiny. With karma, each of us can be seen as a universe casting out hooks and reeling in each other, to our respective boats. By reeling in our destiny from a distant origin, we pull ourselves through time.
All of Human Behavior
So by way of Karma, and our passage through an existing model, we have shown how solve et coagula works. We have also eluded to the idea of fundamental parameters effecting human behavior.
In determining where possible influence may occur, let’s take another look at our model’s form. If you were to guess what sphere of the model influenced you the most, which do you think it would be? Would you want to be standing alone on the 1/9 outer perimeter of concentric forces, isolated from all others looking in, as in ‘the spectator sees more of the sport’? Or would you want to be flying, through that open area of the 2/8 atmosphere? Or maybe you would want to be within the realm of that perfect peaceful pause, feeling the energy of the mass radiating out through the 3/7 membrane of transition. Or perhaps you would want to be right in the thick of things, part of the thronging 4/6 mass - like someone who enjoys crowds, involved in the exchange between sides. By examining the model this way, our analysis begins to sound more like a personality questionnaire. This is an example of how the model attempts to include patterns that govern all of nature, and how all of nature can be described within the stages of the model.
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When we apply all this information to numerology, we will see how numbers, and the fundamental parameters they represent effect human nature. Because of this, I like to think of our fundamental parameters as a kind of aura around the body, with five charkra points up the spine.
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When we apply this information to the tarot cards, we will use these relative positions to describe contrasting ideas like; the independent personality, standing apart from the crowd (1/9) like a hermit, vs. the social interaction of being totally absorbed and involved with others in an intense exchange (4/6) like lovers. This is why solve et coagula is such an important concept to remember.
For those who already know the tarot card symbols, determining connections to the model in this way may be a bit easier than following a path of geometric shapes. For example, we can see how the independent personality is already symbolized by the card labeled ‘The Magician’ and numbered ‘one’ in the tarot deck. Likewise, in equidistant design, the number nine card, labeled ‘The Hermit,’ also carries with it the notion of standing alone, apart from the crowd. By contrast, the sixth card, labeled ‘The Lovers,’ symbolizes the intercourse of opposites about a midpoint of definition, while the equidistant fourth card, labeled ‘The Emperor,’ clearly defines the power and potency of the radiating mass and all its substance.
Solve et coagula shows how all of human behavior will fall somewhere along a sliding scale of relative definition. For example; some people like to live in the heart of the city with people all around them, others like to live in the country miles from their nearest neighbor. Both are connected to each other and to the forces of the model. The man in the city needs to get outside the cluster to be alone (solve), the man in the country needs to go into the city to meet other people (coagula).
Flying across the country at night, the lights below show us urban clusters of varying sizes, breaching the continuum of the single darkened land mass in much the same way as stars cluster together in space to form galaxies, demonstrating man’s need, as well as the universe’s need, to coagulate and define. In this way, even the hermit, or lone star becomes part of the eventual cluster it attempts to defy
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Solve et coagula shows how our model comes to be, even without individual, segmented stages of development.
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Solve et coagula reveals the dualistic nature of the model and its forces of creation. The idea of pulling together to define a form, and then disseminating that form back to nothingness, shows the reciprocal point to sphere connection between the finite and infinity.
Summary
Thus ends our examination of number line patterns. The endless ascent, the film loop, two lines in one, railroad cars and the endless piano with its octave, pitch, chords and scales all showed us what the number line LOOKED like.
Ideas like apart/together, particle/wave and interference breathed life into our model’s form. Ideas like the cosmic engine, the funnel, tunnel, maze and the orgasmic 8 showed how the number line consumes its surrounding infinity as a fuel.
Finally, with ideas like solve et coagula, karma and all of human behavior, we introduced the idea of how abstract patterns in nature can be used to describe human behavior, and in doing so suggest that the parameters that govern human behavior are the same as those that govern the patterns of our model.
Overview
If you choose to continue with this study, we will shift gears a bit, and begin to examine some patterns that reveal the progressive nature of a number line. Number lines that progress from 1 to 9 show us how flexible our model is in describing all of human nature. If you are interested in hearing a few words on how the Apart/Together model might be seen as an archetypal influence to anthropomorphized icons of tarot, try reading the edited down version of this page called Why Abstract Patterns?
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