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

From groupKOS Developer Share
Revision as of 14:37, 14 September 2021 by Don (talk | contribs)
Jump to navigation Jump to search

Template:IndexHexatron

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 13:8 torus knot 3-group 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.