The Third Dimension
The unique aspect of the ASCII Sphere is the third axis which is inherent in the hexagonal geometry of the individual cells. Up and down haven't changed, each radial Z-axis joins together 256 cells, each one directly above or below the others. In the X/Y plane, however, there are three axis within the "Y," the fractal of Cyberspace. This aspect of diagonal relation-ship opens up a landscape that reflects the Triadic Form.
Join six Y's together and we have the schematic for a six-sided logic gate, the individual cells of our hexagonal sphere. Each of these cells is a three-way reversible gate, with three axis that have two possible polarities.
Every intersection is a three-way intersection regardless at what level, because of the fractal nature of this geometry. The sorting pyramid, com-posed of layers of hexagonal cells and 3-way reversible gates is the basic model for a sorting mechanism, or "engine."
We are going to "power" this "engine" with what amounts to an "analog" of three phase electricity. Computers currently run on DC Voltage, we are going to use the "idea" of three phase AC to power our model.
Each time an AC generator turns through 360°, it produces three phases of electricity as it passes through 1200 sections of the field. Each of these phases reverses polarity 60 times a second. This is the "distributor" for our sorting "engine," each time it cycles through 360°, it energizes and then reverses polarity, in each of the three axis. All three axis share each sorting pyramid, each axis energizes the pyramid it sorts top to bottom and then reverses polarity and sorts bottom to top, like the shuttle in a loom.
This search pattern matches our search cycle:
Search - Sort - Collate - Find.
However, we can also repeat this same pattern "inside" a single sorting pyramid, instead of passing through a series of four levels of inverted pyramids.