Gyrated triangular prismatic honeycomb
| Gyrated triangular prismatic honeycomb | |
|---|---|
| |
| Type | Andreini tessellation |
| 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 |
| Symmetry group | I41/amd |
| Dual | ? |
| Properties | vertex-uniform |
The Gyrated triangular prismatic honeycomb is a 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.
Is is one of 28 vertex-uniform tessellations of space, called the Andreini tessellations.
See also
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