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.
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Contents of this page are ©1992, 1996 Stan
Tenen,
and licensed to Meru Foundation, POB 503, Sharon, MA 02067 USA.
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