D. Edward Mitchell 16:00, 14 April 2020 (UTC) Hello World!    groupKOS Developer Share —usually UNDER CONSTRUCTION

Difference between revisions of "Pseudo-trefoil bifilar pattern in 13:8 3-group torus knots"

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[[Category: 3:2]]
 
[[Category: 3:2]]
 
[[Category: 13:8]]
 
[[Category: 13:8]]
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[[Category: 3-group]]
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File:Torus_knot_13-8_bifilar-red-green_and_3-2_blue_polar.png
 
File:Torus_knot_13-8_bifilar-red-green_and_3-2_blue_polar.png
 
</gallery>
 
</gallery>
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.
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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.
 
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.
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; 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 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.
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; The drift wanders from between chiral groupings, from the hexagonal points (small spheres) to the center of a chiral-four-group in the center of the abstract torus.
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; 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 <nowiki>13:8</nowiki> host group.
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; Fascinating.  Somehow.

Latest revision as of 13:40, 17 October 2021



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, from the hexagonal 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.