Biambotetrahedral honeycomb

From Polytope Wiki
Jump to navigation Jump to search
Biambotetrahedral honeycomb
Rank4
TypeIsogonal
SpaceEuclidean
Notation
Bowers style acronymBath
Elements
CellsN rhombitetratetrahedra, N octahedra, 2N+2N triangular antiprisms, 6N rectangular pyramids
Faces6N rectangles, 4N+4N+4N triangles, 12N+12N isosceles triangles
Edges12N+12N+12N
Vertices6N
Vertex figureBiwedged rectangular frustum
Related polytopes
DualBijungatotetrahedral honeycomb
Abstract & topological properties
OrientableYes
Properties
SymmetryP4×2
ConvexYes
NatureTame

The biambotetrahedral honeycomb or bath is an isogonal honeycomb that consists of rhombitetratetrahedra, octahedra, triangular antiprisms and 6N rectangular pyramids obtained as the union of two rectified tetrahedral-octahedral honeycombs.

This honeycomb cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1: ≈ 1:1.41421) would yield a biambocubic honeycomb instead.