Bitetrahedral honeycomb

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Bitetrahedral honeycomb
Rank4
TypeIsogonal
SpaceEuclidean
Notation
Bowers style acronymBithon
Coxeter diagramxo3oo3oo3ox3*a&#zy
Elements
CellsN tetrahedra, 2N triangular antiprisms
Faces4N triangles, 6N isosceles triangles
Edges2N+6N
VerticesN
Vertex figureOrder-3 truncated triakis tetrahedron
Measures (based on two tetrahedral-octahedral honeycombs of edge length 1)
Edge lengthsLacing edges (2N):
 Base edges (6N): 1
Related polytopes
ArmyBithon
RegimentBithon
DualTriakis truncated tetrahedral honeycomb
Abstract & topological properties
OrientableYes
Properties
SymmetryP4×2
ConvexYes
NatureTame

The bitetrahedral honeycomb or bithon is an isogonal honeycomb that consists of tetrahedra and triangular antiprisms. 4 tetrahedra and 12 triangular antiprisms join at each vertex. It can be obtained as the Delaunay hull of two tetrahedral-octahedral honeycombs.

The ratio between the longest and shortest edges is .

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