Elongated alternated cubic honeycomb

Elongated alternated cubic honeycomb

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.

ee also

*alternated cubic honeycomb


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