Saturday, 11 June 2011 17:12

What Is So Important...?

Often I have been asked, “what is so important about the circle?” To ask what is so important about anything means we have lost some capacity to be curious by failing to observe the larger context of what is in question. Things often become static without interest and familiarity becomes a crutch. This question says more about our lack of attention and a need to separate and abstract things from context than we are asking about.


All circles are multiple reproductions of the Whole and function as individualized parts. Each circle gives demonstration to the comprehensive nature of the Whole. The physical circle/sphere is the only form that demonstrates the concept of Wholeness. The Whole is self–organizing where multiple parts are generated through interaction. All potential of possibilities are realized through the three fold triangular grids formed through information revealed from the folding. The self-organization circle indicates endless potential in the forming process through the reconfiguration of and joining multiples in various combinations where there is no end to the number of parts that can be generated. This is important. There is no conflict about the circle as Whole and part. It appears a paradox only in concept.This is obvious with all the ways the circle can be reformed into triangles, squares, pentagons, hexagons and all manner of combinations, all from within the circumferential boundary. We can no longer afford to ignore the implications of folding the circle as it relates directly to geometry and the more abstract concepts of mathematics found in the organizing principles of pattern formation. Nor can we deny the comprehensive nature of the information that is generated.


The alignment in folding the circle in half proportionally generates three, four and five folded diameters from which three fundamental triangular grids are folded. Through the symmetry of forming, transforming, reforming and joining multiple circles, the forms and systems change, the grids are constant and the circle remains consistently Whole.


Mathematically we know three diameter lengths are always short of equaling the circumference. As we extend and diminish the length of the diameter the circumference increases and decreases revealing concentric circles The limitation of chords is that they are all contained within the parallel scaling of the circle, infinitely out and in. This includes all tangent lines and circles. The diameter is circle alignment, a symmetry revealing division without fragmentation or separation. The circle contains all expansion, contraction, converging and diverging of individually separated and isolated parts.

Sphere/circle unity

Spherical compression into a circle requires revision in thinking about the dimensionality of the circle and the importance of spherical origin. Through right angle compression nothing of the sphere is lost or added to, only the form has been changed; the transformation to circle remains Whole. No matter how we use it or what ideas we have about the circle it will faithfully reflect back what ever our limitations of our own thinking about it. Reconfiguring the circle in all ways tells us about the properties and limitations of the forming of individual expression, not about the nature of the circle. This is true, for there is no logic or demonstration to prove the circle otherwise than Whole.

Experiential, hands-on folding is necessary to move beyond the concept of bringing separated things together to make a "unity." Unity is not made, it is realized. Everything is already together even as we perceive what is individually formed. The concept of unity, of God and creation is discussed in all religions and philosophies. There is no physical demonstration of what those ideas mean until they become personalized. The idea of unity as a structural, principled, and sustaining reality can be demonstrated by the self-referencing and reconfiguring of every fold in the circle. Yet these ideas have no meaning until personally realized in some experiential way. This means the circle as Whole is not conceptually knowable until you become personally engaged and spent time folding. What other physical models do we have that demonstrate the transformations of unity with such far-reaching implications?


The circle is the only form that remains Whole through endless forming and reforming of surface. It demonstrates the interconnecting matrix that generates all classifications of polygons and polyhedra and many other unclassified formations. If these things were not in the sphere in the first place we could not make them, even with a circle. These forms are there as pattern before any fold. We do not create diameters or symmetry, they are revealed by aligning and creasing the circle; we simply identify what becomes visible and give them names. This brings up a profound question about the circle, taking us back to those early childhood questions about existence, origin, what are we supposed to do, and for what purpose?


We explain using polygons to “prove” using construction methods of reasoned logic. The circle has no reason only an identifiable logic of self-organizing structural pattern revealed through a self-referencing Whole; first observable in sphere/circle compression, consistently realized in all folding thereafter. Reason proves facts where logic combines knowledge with revealed information through experience and insight. Facts of information, reconfigurations in the folds and in combining circles, have no meaning in themselves; the larger reality is in understanding the comprehensive nature of the circle. That is what I find important about the circle.


Life is both from bottom up and top down. We have formalized education as primarily bottom up, parts-to-whole, teaching only parts and expecting unity to somehow be understood. An aggregation of facts together does not make a Whole. The reality of our lives reveals both bottom up experience and top down revelation that provides direction and moral insight, a decidedly Whole-to-parts perspective. The word Whole is capitalize referring to inclusive; distinguished from the idea of separated parts joined to make a whole. Parts in number will always fall short of number of parts in unity.


Is the circle a force of nature, a form in nature, or an invention of human nature; did it evolve through practical usage to become a symbolic representation for the mathematical concept of zero? Or possibly the circle is a contextual creation of relationships that is the only possibility for infinite time/space expression of a sustaining pattern? In line with many religious traditions the sphere/circle compression demonstrates an individualized tri-unity disengagement from a trinitized monotheistic unity, which we have no other word for but God. Possibly all are true and relative within the Whole, as observed modeled in the form of sphere/circle compression and circle/sphere decompression by folding.


                              what is-1



This detail is of the model below. It shows individual unit circles each reformed and joined in one of many possible designs. Each circle is uniquely formed from the same creased grid; an aggregation of paper plate circles.




                            what is-2



Imagine this model, a limited number of multiple circles, combined with all the other possibilities of reforming and arranging endless multiple circles as the expression of one circle in all time/space instantaneously revealing all possible potentials at once. There is purpose in being given the advantage to experience through time, to spread out over space, to explore and discover with frustration, delight and with wonderment all the unimaginable possibilities and unseen potentials towards some far distant fulfillment.







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