Sixual Attraction
Now that we have a programmable 3-way reversible gate, how do we switch it? We need binomial expressions in sets of three combined in pairs, for total of 6. Fortunately there already exists such a system and it is called the I Ching, and is one of the oldest relics of Ancient China. There are eight possible combinations of bipolarity in groups of three, the eight trigrams. An eight by eight matrix of these trigrams elegantly displays the 64 possible hexagrams. This is the oldest code matrix of this kind known to man.
There are four possible states; go through, go left/right, go up/down, and stop. Diagrammed into 64 "traffic signals" each six part hexagram contains the "Boolean" instructions for a single sorting gate or group of gates. Each "Boolean" Square contains 64 different switching instructions for a particular sorting pyramid, or group sort. These sorting instructions and the routing instructions that accompany them are the contents of the line files in any Algorithmic Square. For each of the 256 possible applications grouped into four logic domains, each of which contains 64 levels, or, a Sorting Battery.
The same sorting instructions move data up and down inside the sorting pyramids, and back and forth on the three axis of the horizontal communication layers. Whole sections or sorting layers can be run with a single instruction, or set of instructions (entrainment).
This is also the ideal environment for Cellular Automata (CA's) and neural networks, with their self-similar cells, roving agents, fractal instructions and global facsimiles. In fact, Complex and Chaotic Models of all kinds need this sort of self-programming, globally organized self-similar unit structure.
The Pleasure of Finding Things Out - Richard P Feynman Perseus Press, 1999