If the 421 polytope is truly an archetypal object whose E8 symmetry embodies the superstring physics of matter, one should expect to see...

Surrounding the centre of the Type B dodecagon are 120 geometrical elementst consisting of 5 types of lines (repeated 12 times), two...

Consider an n-gon whose sectors are 2nd-order tetractyses. The number of yods other than sector corners that surround the centres of its...

The 2nd-order tetractys is the third member of an infinite series of tetractyses, beginning with a mathematical point (0th-order...

Type A triacontagon The number of geometrical elements in a Type A/1st-order n-gon* = 4n + 1. This is because each of the n sectors adds...

The number of yods in a Type B n-gon = 15n + 1. It has 14n yods other than the (n+1) corners of its sectors. A Type B triacontagon (n=30)...

Each of the 64 hexagrams used in the I Ching system of divination is a 6-fold combination of lines (denoting Yang) or broken lines...

This 84:84:84:84 pattern appears in: 1. the inner Tree of Life, as the 84 geometrical elements that are intrinsic to it and surround the...

The Godname EL (אל) of Chesed, the first Sephirah of Construction, with number value 31 prescribes a triacontagon because its 30 sectors...

Surrounding the centres of the 8 Type B triacontagons are 240 vertices and 3360 yods (1680 yods in each set of 4 triacontagons). A...

The Type C n-gon has 9n triangles with 14n sides. The 7 separate Type C polygons in each half of the inner Tree of Life contain...

Surrounding the centre of a Type A triacontagon are 180 yods. The 4 triacontagons in the Coxeter plane projection of a 600-cell (shown as...

The 8 triacontagons in the E8 Coxeter plane projection of the 421 polytope consist of two sets of 4 (shown coloured red & blue). Each set...

The dodecagon is the last of the seven types of regular polygons making up the inner form of the Tree of Life. 180 yods surround its...

Surrounding the centre of a Type C n-gon are 42n yods. They can be divided into two sets of 21n yods. The 7 separate polygons making up...

The two right-angled triangles making up each sector of the triacontagon contain the angles 90, 84 & 6. The so-called "Lambda Tetractys"...

When projected into 4-dimensional space, the 8-dimensional 421 polytope has a particular projection in which its vertices appear arranged...

Tetragrammaton+tetractys+124875+enneagram+(tree of life): Tetractys=enneagram=142857=7 The numbers 1,2,4,8,7,5 and 1,4,2,8,5,7 are...

(11 tetractys)=66 66=1+2+3+4+5+6+7+8+9+10+11 (11 tetractys)=(171 triangles+dots) (171 triangles+dots)=9(7 tetractys) 171=(18...