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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.

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