bgcolor=#e7dcc3 colspan=2 | Cyclotruncated 5-simplex honeycomb | |
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bgcolor=#ffffff align=center colspan=2 | (No image) | |
Type | Uniform honeycomb | |
Family | Cyclotruncated simplectic honeycomb | |
Schläfli symbol | t0,1 | |
Coxeter diagram | or | |
5-face types | ||
4-face types | ||
Cell types | ||
Face types | ||
Vertex figure | Elongated 5-cell antiprism | |
Coxeter groups | {\tilde{A}}5 | |
Properties | vertex-transitive |
Its vertex figure is an elongated 5-cell antiprism, two parallel 5-cells in dual configurations, connected by 10 tetrahedral pyramids (elongated 5-cells) from the cell of one side to a point on the other. The vertex figure has 8 vertices and 12 5-cells.
It can be constructed as six sets of parallel hyperplanes that divide space. The hyperplane intersections generate cyclotruncated 5-cell honeycomb divisions on each hyperplane.
Regular and uniform honeycombs in 5-space: