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

Difference between revisions of "File:Orthogonal 3-phase 13-8 torus knots 1920x1080.png"

From groupKOS Developer Share
Jump to navigation Jump to search
m
m
 
Line 13: Line 13:
 
[[Category: torus]]
 
[[Category: torus]]
 
[[Category: torus knot]]
 
[[Category: torus knot]]
 +
[[Category: 13:8]]

Latest revision as of 13:04, 11 September 2021

Summary

This illustrates three unique knots on an invisible torus surface. Each knot is a helix around the ring 13 times, while it twists eight times. This is a 13:8 knot ratio, which integers are Fibonacci neighbors, so the knot ratio is the golden ratio to within 0.0069.

With the golden slope of the knot ratio, the inner loops of a 13:8 slope intersect the plane of the torus and 90 degrees different than the outer helical slope intersection with the torus plane —but only when the hole radius is four powers of the golden ratio smaller than the major radius.

This torus profile to produce orthogonality at the torus plane is almost orthogonal. The variation from orthogonality is in proportion to the variance of the knot ratio's approximation to the golden ratio, which is 1.625, variant by 0.0069…

Orthogonality is closest at the torus plane, and looking toward the torus center from the plane. The orthogonality is less when the view is rotated above or below the plane. This relationship is anticipated to host resonant emergence of oscillations with some symmetry above and below the donut plane, as the resonant envelope contribution of conductors at the torus plane is from a magnetic blind spot relative to the central knot conductors —as there is no magnetic coupling between orthogonal current paths.

This image is a programmed-image in ray-tracer code, written and rendered by your Developer of a 3rd kind.

Template:IndexHexatron

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current12:34, 19 August 2021Thumbnail for version as of 12:34, 19 August 20211,920 × 1,080 (1.93 MB)Don (talk | contribs)This illustrates three unique knots on an invisible torus surface. Each knot is a helix around the ring 13 times, while it twists eight times. This is a 13:8 knot ratio, which integers are Fibonacci neighbors, so the knot ratio is the golden ratio to...
  • You cannot overwrite this file.

There are no pages that use this file.

Metadata