Hebrew Letters, Gesture & Language

Symmetry Groups and Autocorrelation Patterns
©1996, 1997, 2001 Stan Tenen

THE FOUR SYMMETRY GROUPS OF THE HEBREW ALPHABET

The autocorrelation of the text of Genesis makes use of a special arrangement of the Hebrew letters. Using the "base-3 count" of each letter, which can be understood as its position in the 3x3x3 "Rubik's Cube" arrangement of the 27-letter Hebrew alphabet, one can derive the four "symmetry groups" actually used for the autocorrelation, as shown in the posters below.

Three-Fold Symmetry in the Hebrew Alphabet Matches
the Front-Back / Base-3 Symmetry Groups
A 3-lobed arrangement showing how the symmetry groups are derived

Front-Back / Base-3 "Snake" Arrangement
An alternate means of deriving the four symmetry groups.



ADDITIONAL SYMMETRIES

The Hebrew Alphabet displays additional structure when arranged on various geometric and topological forms.

The Enneagonal Trefoil Knot and the Hebrew Alphabet ©1994, 1997 SNT
16 Dec 97

Umbilic Toroid and Trefoil Knot both showing Front-Back and Base-3 Symmetry in the Hebrew Alphabet ©1991, 1997, 1999 SNT
7 Feb 00

An Explanation for the Triple Tagin: The Shushon Flower Arrangement of the 27 Letters of the Hebrew Alphabet:
When the letters are arranged on the 24 edges and 3 internal diagonals of a cubeoctahedral frame, the
letters with triple crowns count out a tetrahedral coordinate system and a spin axis.
18 Dec 99


AUTOCORRELATION PATTERNS OF VERSES IN GENESIS: Articles and Supplementary Posters

The essay and posters in this section section demonstrate and explain various ways that the letters of Genesis I.1 can be autocorrelated.  An early version of an autocorrelation pattern for Genesis I.3 is also included.

Articles

Symmetry Woven into the First Verse of the Hebrew Text of Genesis
Dec 1999
This article explains the AABA "Woven" pattern found in the first verse, and also
the method by which the toroidal "autocorrelation pattern" of the letters of the first verse was derived.

Genesis and Sefer Yetzirah (pdf)
Jan 2002
A discussion of how the ambiguous meaning of the supposed word, B'limah, which opens the Sefer Yetzirah,
is unambiguously and elegantly resolved by reference to the autocorrelation patterns of the first verse of Genesis.

Posters
Genesis 1.1: Toroidal Autocorrelation ©1996 SNT

Autocorrelation of Genesis 1.1 showing AABA "Woven" Pattern ©1996 SNT

Genesis 1.1: Shushon Flower Arrangement ©1984,1996 SNT

The Menorah as an Autocorrelation of Genesis 1.3 ©1985, 1997 SNT

B'reshit 1:1 Wound on a Pole

B'reshit 1:1 -- 7-Color Torus Mapping


GENESIS 1:1 -- A HIERARCHY OF LETTERS AND WORDS

On the Hierarchical Structure of the Five Books and The Internal Structure of B'reshit
October 2003
An expanding hierarchy with the structure of an unfurling vortex funnel

The Many Words of the First Verse of Genesis
25 November 2001

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