Gyrated alternated cubic honeycomb&o=10616

Elongated alternated cubic honeycomb

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.

See also

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