Bimesotruncatocubic honeycomb

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Bimesotruncatocubic honeycomb
Rank4
TypeIsogonal
SpaceEuclidean
Notation
Bowers style acronymBimtich
Coxeter diagramoo4ab3ba4oo&#zc
Elements
Cells4N ditrigonal trapezoprisms, N truncated octahedra
Faces12N isosceles trapezoids, 3N squares, 8N ditrigons
Edges6N+12N+12N
Vertices12N
Vertex figureNotch
Measures (for variant with trapezoids with 3 equal edges)
Edge lengthsShort base edges (12N): 1
 Lacing edges (6N): 1
 Long base edges (12N):
Related polytopes
ArmyBimtich
RegimentBimtich
DualBimesoapiculatocubic honeycomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR4×2
ConvexYes
NatureTame

The bimesotruncatocubic honeycomb or bimtich is an isogonal honeycomb that consists of truncated octahedra and ditrigonal trapezoprisms. 2 truncated octahedra and 4 ditrigonal trapezoprisms join at each vertex. It can be obtained as the union of two bitruncated cubic honeycombs with single symmetry only.

This honeycomb can be alternated into a snub bimesocubic honeycomb, which is also nonuniform.

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

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