User:Tomruen/5-simplex
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In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope. It has 6 vertices, 15 edges, 20 triangle faces, 15 tetrahedral cells, and 6 pentachoron facets. It has a dihedral angle of cos−1(1/5), or approximately 78.46°.
More information 5-simplex Hexateron (hix) ...
5-simplex Hexateron (hix) | ||
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Type | uniform 5-polytope | |
Schläfli symbol | {34} | |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4-faces | 6 | 6 {3,3,3}![]() |
Cells | 15 | 15 {3,3}![]() |
Faces | 20 | 20 {3}![]() |
Edges | 15 | |
Vertices | 6 | |
Vertex figure | ![]() 5-cell | |
Coxeter group | A5, [34], order 720 | |
Dual | self-dual | |
Base point | (0,0,0,0,0,1) | |
Circumradius | 0.645497 | |
Properties | convex, isogonal regular, self-dual |
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