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**#47 The holistic parameter 48 in sacred
geometries**

The number **48** is the number value of *Kokab*, the Mundane Chakra of
Hod. Its astrological association is the planet Mercury. It is a conspicuous parameter of holistic systems
possessing sacred geometry. This is illustrated below:

__Outer Tree of Life__The outer form of the Tree of Life consists of 16 triangles with 10
corners and 22 sides, that is,

__Inner Tree of Life__The inner form of the Tree of Life consists of seven regular
polygons with

__Plato's Lambda Tetractys__The 10 integers making up the tetractys extrapolation of
Plato's Lambda comprise those at its corners that sum to

__Tetrahedron__There are

__1-tree__When its 19 triangles are turned into tetractyses, the 1-tree has

__The Type A & Type B dodecagons__Divided into its sectors, a Type A dodecagon has 13
corners & 24 sides of 12 triangles, i.e.,

A Type B dodecagon consists of **36** triangles with 25 corners & 60
sides. Two joined Type B dodecagons have **72** triangles with
**48** corners.

__3-dimensional Sri Yantra__Transformation of the 43 triangles in the 3-dimensional Sri
Yantra into tetractyses generates

__2nd-order tetractys__There are

__The 3-torus__The 3-torus can be constructed by sticking the square faces of six square
antiprisms onto the square faces of four triangular prisms. Their 56 triangular faces generate the {3,7}
tessellation of the Klein Configuration on the 3‑torus. The 32 black corners of the 24 triangular sectors of the
eight faces of the four triangular prisms at the apices of the tetrahedron correspond to the 32 black yods in the
1-tree above Chesed. The

__Disdyakis triacontahedron__The

The holistic parameter **48** manifests arithmetically in superstring theory
as the first **48** odd integers after 1 which sum to 2400:

**49**^{2} − 1 = 3 + 5 + 7 + ... + **97** = 2400.

This is the number of space-time components of the 240 10-dimensional gauge fields mediating
unified superstring forces that are associated with the 240 roots of E_{8}, the rank-8, exceptional Lie
group that belongs to one of the two symmetry groups describing these forces. The number
**48** is the number of yods surrounding the centre of an octagon whose sectors are tetractyses
(see here). When these sectors are 2nd-order tetractyses, the octagon contains
**496** hexagonal yods that symbolize the **496** roots of
E_{8}×E_{8}, the symmetry group of the interactions between one of the two types of heterotic
superstrings (see here).

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