Gyroelongated alternated cubic honeycomb
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| Gyroelongated alternated cubic honeycomb | |
|---|---|
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| Type | Uniform honeycomb |
| 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 | R-3-m |
| Dual | ? |
| Properties | vertex-uniform |
The Gyroelongated alternated cubic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of tetrahedra, octahedra, and triangular prisms.
It is vertex-uniform with 3 octahedra, 4 tetrahedra, 6 triangular prisms around each vertex.
Is is one of 28 convex uniform honeycombs.
The elongated alternated cubic honeycomb has the same arrangement of cells at each vertex, but the overall arrangement differs. In the elongated form, each prism meets a tetrahedron at one of its triangular faces and an octahedron at the other; in the gyroelongated form, the prism meets the same kind of deltahedron at each end.
[edit] See also
- alternated cubic honeycomb
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