Biambotetrahedral honeycomb

Biambotetrahedral honeycomb
Rank	4
Type	Isogonal
Space	Euclidean
Notation
Bowers style acronym	Bath
Elements
Cells	N rhombitetratetrahedra, N octahedra, 2N+2N triangular antiprisms, 6N rectangular pyramids
Faces	6N rectangles, 4N+4N+4N triangles, 12N+12N isosceles triangles
Edges	12N+12N+12N
Vertices	6N
Vertex figure	Biwedged rectangular frustum
Related polytopes
Dual	Bijungatotetrahedral honeycomb
Topological properties
Orientable	Yes
Properties
Symmetry	P4×2
Convex	Yes
Discovered by	{{{discoverer}}}

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:$\sqrt2$ ≈ 1:1.41421) would yield a biambocubic honeycomb instead.