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Gyrated triangular prismatic honeycomb

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Gyrated triangular prismatic honeycomb
Type Andreini tessellation
Cell types (3.4.4)
Face types {3}, {4}
Edge figures ?
Vertex figure ?
Cells/edges E1:(3.4.4)5
E2: (3.4.4)4
Faces/edges E1: 3.4.4.4.4
E2: 3.4.3.4
Cells/vertex (3.4.4)12
Faces/vertex {3}3.{4}8
Edges/vertex 8
Symmetry group I41/amd
Dual ?
Properties vertex-uniform

The Gyrated triangular prismatic honeycomb is a tessellation (or honeycomb) in Euclidean 3-space made up of triangular prisms. It is vertex-uniform with 12 triangular prism per vertex.

It can be seen as parallel planes of Square tiling alternately offsets caused by paired triangular prisms. Neighboring prisms layers are rotated 90 degrees from each other.

Is is one of 28 vertex-uniform tessellations of space, called the Andreini tessellations.

See also