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Multi-Media Index
Presentation Posters
Animated GIFS
VRMLs: 'Virtual Reality' simulations
Computer Generated Images
3-D Models: Photographic Images
Graphic Sampler of Meru Models 1999
Videos
The First Verse of the Hebrew Text of Genesis on the 7-Color Map of a 2-Torus Forms the Tallis (Prayer Shawl) and the Tzitzis (Corner Fringes)
2002
Tetrahelix Sculpture
The Source of English Measurement Proportions
2002
Five Points
The 3,10 Torus Knot, Ring, Sphere, Tetrahelix and Hand
Poster and explanatory text originally published in TORUS, the Journal of the Meru Foundation, Vol. 2 #2, December 1992
©1992, 1996 S. Tenen
View the 3,10 Torus Knot in Rotation (animation, 936K)


This illustration shows:
  • How the standard "Ring" form of the 3,10 torus knot can be transformed to fit on the surface of a dimpled-sphere torus.
  • How the 3,10 torus knot is defined by a "touch-pad magic square" whose diagonals, central row, and column add to 15).
  • How the dimpled sphere form of the 3,10 torus knot defines 6 hand-shaped regions wound around a (6-thumb) tetrahelical central column.
  • How the central column of the dimpled-sphere form of the 3,10 torus knot is composed of and defined by a column of 99-tetrahedra.
  • How each hand is defined by a central colunn (wound on the thumb and extended over the palm and 4-fingers) of a "jubilee" of 49-tetrahedra; and
  • How the 99-tetrahedra tetrahedral column consists of 3-ribbons of 3x22=66 triangular faces, with one triangular face for each of the 3 sets of 22-letters of a string of 3-Hebrew alphabets.
For animations of the 3,10 torus knot, see:
The 3,10 Torus Knot In Rotation (936k)

Growth and Unfurlment of the 3,10 Knot (557k)

The 3,10 Knot Growing, Blossoming, and Fading (400k)

See also the central Meru Foundation poster, Continuous Creation, for more information.

For an a chart relating tetrahelical column length with 3,x torus knots, see the poster, Tetrahelix Accounting.


Contents of this page are ©1992, 1996 Stan Tenen, and licensed to Meru Foundation, 524 San Anselmo Ave. #214, San Anselmo, CA 94960.
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Home The Meru Project:
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Keynote
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Philosophical & Math Essays Hebrew Letters, Gesture & Language Graphics, Animations, Videos Newsletter Archive Research Archive, Supplementary Materials About Meru Foundation Donate DVDs, Books, and Music

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