
What is a nine-three configuration?
Nine-three configurations, of which there are three distinct types, are geometrical constructions that express special relationships with the pulsations we like to think of as the COSMIC BINARY CODE, otherwise known as that CRAZY EIGHT, i n f i n i t y".Formally, there are three ways of arranging nine lines and nine points so that there are three lines through every point and three points on every line. The number and variety of harmonic relationships with infinity contained in these figures is significant, with multiple instances of infinity often occuring within a single construct.
I see in nine three configurations a way to navigate an animated system for calculation. My system attempts to account for pulse. Its use can breathe life into art, or any calculated expression.
I got the idea for this system when introduced to the concept of pi at age 10. My first thought about pi was that someone ought to figure out a way to make pi the standard, rather than an anomaly, in a mathematical system. This essay attempts to express is my solution, thus far. What I've arrived at helps me enormously as an artist, however far removed from academic proofs my hypothesis may be.
The philosophical precept that for every object there is an equal and opposite non-object that can be described on another plane has persisted from ancient times through the arcane mystery schools and ancient mathematical theories as well as throughout traditional Western schools of thought, from the works of Plato and Kant down to the works of present day philosophers and mathematicians. Implications of the recent proof of Fermat's Last Theorem effectively codify the principle mathematically.
In this discussion, we propose a form of the hexadecimal system, updated graphically and rhythmically. We call this system "sexadecimal," which is, in fact, the unadulterated name for a base-16 system. The alternate term "hexadecimal" was adopted by corporate policy at IBM in the late 1940's due to what were felt to be "nasty" and "embarrassing" connotations suggested by the term "sexadecimal." Perhaps this was an early indication of our cultural tendency to favor political correctness over accuracy, even in fields purveying methods utterly dependent upon logic and rationality.
But let us not maunder far afield . . .
At right are the characters used to represent the figures in one cycle of sixteen. Note how, graphically, the second half of the cycle contains a mirror image of the first half. The two sides of the cycle are thus analogous to a binary system. It is easy to see how an extension of this idea through horizontal reflections of the figures as well as the vertical shown, the system can be applied to calculations in four dimensions / quadrants.
RFPAn important quality of our graphical depiction of the proposed system makes it a form of abacus analogy, enabling instantaneous, visual transliteration between binary, or base-2, values and their base-16 equivalents. Use of the pi in place of "3" assumes a certain "rounding" -- if you please, applying a dynamic effect, so that "strong/weak" or "pulse" may play in every phase of every calculation, or as designed by specific alagorithms.
1. Name the quad system. If we call the hexadecimal system described here "sexadecimal," what do you think we should call the base-32 system?
2. I have created a font for the figures shown, and it is available to download at the links below. I would like to see a calculator that uses these figures in place of the usual figures used in hexadecimal calculators. Please drop me a line if you create such a calculator. I would love to see it.
Get the PC font
Get the Mac font
The phrase, "Beauty will save the world," were the dying words of Leo Tolstoy. I have pondered what could be meant by this. Here is a description of how to arrive at an expression of that principle:Beauty will be served
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Ciaro?
Let us contemplate a theory of number that is simultaneously hexadecimal and binary. Through the dynamic symmetry introduced by pi standing in at "3," we are able to denote pulsation in what has traditionally been considered a uniform field of number. Thus finding its pulse, the field of number suddenly comes alive. Now calculations may approach the multidimensionality that our metaphysical thinking has been slow to codify.
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