Muicosahedron

Muicosahedron
Rank	3
Space	Hyperbolic
Notation
Schläfli symbol	$\{6,4\mid 5\}$
Elements
Faces	$2N$ Hexagons
Edges	$6N$
Vertices	$3N$
Vertex figure	Skew square, edge length $\sqrt{3}$
Related polytopes
Army	Bitped
Regiment	Bitped
Abstract properties
Schläfli type	{6,4}
Topological properties
Orientable	Yes
Genus	∞
Properties
Convex	No

The muicosahedron is a regular skew apeirohedron in 3-dimensional hyperbolic space.

The muicosahedron can be constructed from the bitruncated order-5 dodecahedral honeycomb. Its faces are the hexagonal faces of the bitruncated order-5 dodecahedral honeycomb. The pentagonal faces form holes in the muicosahedron.

It can also be constructed from order-5 hexagonal tiling by identifying faces as to make pentagonal holes.

Vertex coordinates

It's vertex coordinates are the same as the bitruncated order-5 dodecahedral honeycomb.