User:Tomruen/Truncated simplectic honeycomb
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In geometry a truncated simplectic honeycomb or truncated k-simplex honeycomb is one of a dimensional set of uniform tessellations. Each is composed of truncated simplex facets. The vertex figure for each is a (k-1)-simplex antiprism.
expanded simplex.
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n | Tessellation | Vertex figure | Facets per vertex figure | Vertices per vertex figure | |
---|---|---|---|---|---|
1 | ![]() Apeirogon ![]() ![]() ![]() |
1 | 2 | ||
2 | ![]() Trihexagonal tiling Truncated 2-simplex honeycomb ![]() ![]() ![]() |
![]() Rectangle (Elongated square) ![]() ![]() ![]() |
2 triangles 2 hexagons |
4 | |
3 | ![]() Quarter cubic honeycomb Truncated 3-simplex honeycomb ![]() ![]() ![]() ![]() ![]() |
![]() Elongated triangular antiprism ![]() ![]() ![]() ![]() ![]() |
2 tetrahedron 6 truncated tetrahedron |
6 | |
4 | Truncated 4-simplex honeycomb![]() ![]() ![]() ![]() ![]() |
Elongated tetrahedral antiprism![]() ![]() ![]() ![]() ![]() ![]() ![]() |
2 5-cell 8 truncated 5-cell |
8 | |
5 | Truncated 5-simplex honeycomb![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Elongated 5-cell antiprism | 5-simplex Truncated 5-simplex Bitruncated 5-simplex |
10 | |
6 | Truncated 6-simplex honeycomb![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Elongated 5-simplex antiprism | 6-simplex Truncated 6-simplex Bitruncated 6-simplex |
12 | |
7 | Truncated 7-simplex honeycomb![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Elongated 6-simplex antiprism | 7-simplex Truncated 7-simplex Bitruncated 7-simplex Tritruncated 7-simplex |
14 | |
8 | Truncated 8-simplex honeycomb![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Elongated 7-simplex antiprism | 8-simplex Truncated 8-simplex Bitruncated 8-simplex Tritruncated 8-simplex |
16 | |
9 | Truncated 9-simplex honeycomb![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Elongated 8-simplex antiprism | 9-simplex Truncated 9-simplex Bitruncated 9-simplex Tritruncated 9-simplex Quadritruncated 9-simplex |
18 | |
10 | Truncated 10-simplex honeycomb | Elongated 9-simplex antiprism | 10-simplex Truncated 10-simplex Bitruncated 10-simplex Tritruncated 10-simplex Quadritruncated 10-simplex |
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