<< Previous 1... 5 6 [7] 8 9 ...17 Next >> 
7. A correspondence between the 4_{21} polytope and each half of the inner form of 10 Trees of Life

The Type C ngon has 9n triangles with 14n sides. The 7 separate Type C polygons in each half of the inner Tree of Life contain (9×48=432) triangles with (14×48=672) sides. The (70+70) separate Type C polygons in the inner form of 10 overlapping Trees of Life contain (4320+4320=8640) triangles with (6720+6720=13440) sides.The 4_{21} polytope has 6720 edges. This correspondence between sides and edges indicates that each half of the inner form of 10 Trees of Life represents a 4_{21} polytope whose 240 vertices coincide with the 240 roots of E_{8}. It implies that the inner form of 10 Trees represents E_{8}×E_{8}.
<< Previous 1... 5 6 [7] 8 9 ...17 Next >> 