<a href="https://en.wikipedia.org/wiki/5-cube" class="extiw" title="w:5-cube">5-Cube</a> projection from the 240 vertices of the split real even <a href="https://en.wikipedia.org/wiki/E8_(mathematics)" class="extiw" title="w:E8 (mathematics)">E<sub>8</sub></a> Lie Group. <br><p>The basis vectors for the E<sub>8</sub> projection are shown (1:1 with the ring of gray vertices with the last 3 of 8 dimensions 0). There are 2480 overlapping edge lines from the 240 E<sub>8</sub> vertices. They have norm’d unit length calculated from the 5 non-zero projected dimensions of E<sub>8</sub>. Of these, 32 inner vertices and 80 edges belong to the 5D 5-Cube (Penteract) proper.  Edges are shown with colors assigned based on origin vertex distance from the outer perimeter. The vertex colors of the 5-Cube projection represent E<sub>8</sub> vertex overlaps. These are: <br><br></p><p>InView vertices=(color{overlap,count},…)Total<br>
(LightGreen{1,20},Pink{5,20},Gray{10,10},Orange{20,1})51<br><br>
All vertices=(color{overlap,count},…)Total<br></p>
(LightGreen{1,20},Pink{5,100},Gray{10,100},Orange{20,20})240
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