Gyrated triangular prismatic honeycomb
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| Gyrated triangular prismatic honeycomb | |
|---|---|
 |
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| Type | Convex uniform honeycomb |
| Schläfli symbol | {3,6}:g x {∞} |
| Cell types | (3.4.4) |
| Face types | {3}, {4} |
| Edge figures | ? |
| Vertex figure |  |
| Cells/edges | E1:(3.4.4)5 E2: (3.4.4)4 |
| Faces/edges | E1: 3.4.4.4.4 E2: 3.4.3.4 |
| Cells/vertex | (3.4.4)12 |
| Faces/vertex | {3}3.{4}8 |
| Edges/vertex | 8 |
| Coxeter group | [6,3]g x [] |
| Dual | ? |
| Properties | vertex-transitive |
The gyrated triangular prismatic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of triangular prisms. It is vertex-uniform with 12 triangular prisms per vertex.
It can be seen as parallel planes of square tiling with alternating offsets caused by layers of paired triangular prisms. The prisms in each layer are rotated by a right angle to those in the next layer.
It is one of 28 convex uniform honeycombs.
[edit] See also
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