D. Edward Mitchell 16:00, 14 April 2020 (UTC) Hello World! groupKOS Developer Share —usually UNDER CONSTRUCTION
Pseudo-trefoil bifilar pattern in 13:8 3-group torus knots
The 13:8 knot selection is based on having a longer knot for more copper unit-area-density on the abstract torus surface.
With the selection of 13:8 knots as an electrified 3-group (3-phase coil array) a curious ordering was discovered, and is now celebrated as a prototype Hexatron design like it has merit as cargo-cult gee-wiz.
Images above illustrate a single 13:8 torus knot in red and green chiral halves, with an overlaid blue trefoil (3:2 knot) showing the 'phase drift' of the respective knot ratios.
Below are shown a 13:8 torus knot 3-group, which displays the curious detanglement, or ordering of chirality and (red-handed helix, or green-handed helix) group-order.
- The phase-drift begins centered between chiral hands at the outer periphery of the abstract torus. The drift ends centered at the opposite side again.
- The drift wanders from between chiral groupings, at the hexatronic connection points (small spheres) to the center of a chiral-four-group in the center of the abstract torus.
- The red and green chiral bands therefore are pseudo-trefoils in pattern only, while the slope of the banded knot helix remains as the ratio of the 13:8 host group.
- Fascinating. Somehow.