Gyroelongated alternated cubic honeycomb

Gyroelongated alternated cubic honeycomb

The gyroelongated 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.

It 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.

ee also

*alternated cubic honeycomb


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