Quarter cubic honeycomb
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| Quarter cubic honeycomb | |
|---|---|
 (A partial solid honeycomb) |
|
| Type | Uniform honeycomb |
| Schläfli symbol | t0,1[P4] |
| Coxeter-Dynkin diagram |  |
| Cell types | {3,3}, (3.6.6) |
| Face types | {3}, {6} |
| Edge figures | ? |
| Vertex figure |  isosceles antiprism |
| Cells/edges | ? |
| Faces/edges | ? |
| Cells/vertex | (3.6.6)6+{3,3}2 |
| Faces/vertex | ? |
| Edges/vertex | ? |
| Symmetry group | Fd3m |
| Dual | ? |
| Properties | vertex-transitive |
The Quarter cubic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of tetrahedra and truncated tetrahedra in a ratio of 1:1.
It is vertex-transitive with 6 truncated tetrahedra and 2 tetrahedra around each vertex.
It is one of 28 convex uniform honeycombs.
The faces of this honeycomb's cells form four families of parallel planes, each with a 3.6.3.6 tiling.
Its vertex figure is an isosceles antiprism: two equilateral triangles joined by six isosceles triangles.
Edge framework
[edit] See also
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