Elongated alternated cubic honeycomb
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| Elongated alternated cubic honeycomb | |
|---|---|
 |
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| Type | Uniform honeycomb |
| Schläfli symbol | h{4,3,4}:e |
| Cell types | {3,3}, {3,4}, (3.4.4) |
| Face types | {3}, {4} |
| Edge figure | ? |
| Vertex figure | triangular cupola joined to isosceles hexagonal pyramid  |
| Cells/edge | ? |
| Faces/edge | ? |
| Cells/vertex | {3,4}3+{3,3}4+(3.4.4)4 |
| Faces/vertex | ? |
| Edges/vertex | ? |
| Symmetry group | P63/mmc |
| Dual | ? |
| Properties | vertex-uniform |
The Elongated alternated cubic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of octahedra, triangular prisms, and tetrahedra in a ratio of 1:2:2.
It is vertex-uniform with 3 octahedra, 4 tetrahedra, 6 triangular prisms around each vertex. Each prism meets an octahedron at one end and a tetrahedron at the other.
It is one of 28 convex uniform honeycombs.
It has a gyrated form called the gyroelongated alternated cubic honeycomb with the same arrangement of cells at each vertex.
[edit] See also
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