Bitruncatocubic honeycomb

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Bitruncatocubic honeycomb
Rank4
TypeIsogonal
SpaceEuclidean
Notation
Bowers style acronymBitach
Coxeter diagramxo4xo3ox4ox&#zy
Elements
Cells6N tetragonal disphenoids, 12N digonal disphenoids, N octahedra, 4N triangular antiprisms
Faces8N triangles, 24N+24N isosceles triangles
Edges3N+12N+24N
Vertices6N
Vertex figureOctakis square cupola
Measures (based on two truncated cubic honeycombs of edge length 1)
Edge lengthsBase edges (3N+12N): 1
 Lacing edges (24N):
Related polytopes
ArmyBitach
RegimentBitach
DualBiapiculatocubic honeycomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR4×2
ConvexYes
NatureTame

The bitruncatocubic honeycomb or bitach is an isogonal honeycomb that consists of octahedra, triangular antiprisms, tetragonal disphenoids, and digonal disphenoids. 1 octahedron, 4 triangular antiprisms, 4 tetragonal disphenoids, and 8 digonal disphenoids join at each vertex. It can be obtained as the union of two truncated cubic honeycombs.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is .

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