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9. The correspondence between the 24-cell and the two Type B dodecagons

The last of the regular polygons making up the inner Tree of Life is the dodecagon. 333 extra yods (that is, yods that are not corners) are required to turn the two joined dodecagons into Type B dodecagons. 168 such yods are associated with each dodecagon:

 

 

336 yods in two joined Type B dodecagons

 24-cell

The two joined, Type B dodecagons have 336 yods other than corners. They symbolise the types of geometrical elements in the 24-cell.

 

   The 24-cell has:

  • 24 vertices 
  • 96 edges 
  • 96 triangular faces 
  • 24 internal sides of triangles 
  • 96 internal triangles 

        Total = 336

 

 

The following correspondences exist between the two joined Type B dodecagons and the 24-cell:

  • 24 red yods at centres of sectors ↔ 24 vertices;
  • 96 violet yods on sides of sectors of two dodecagons ↔ 96 edges;
  • 96 yellow hexagonal yods at centres of tetractyses or on side shared by two tetractyses ↔ 96 triangular faces;
  • 24 blue hexagonal yods at centres of tetractyses ↔ 24 internal sides of triangles;
  • 96 green hexagonal yods on sides of tetractyses ↔ 96 internal triangles.

This demonstrates the holistic nature of the 24-cell because many examples have been given elsewhere in this website that show how the pair of dodecagons are the single, polygonal version of the outer Tree of Life.

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