m*

m*
(3D model)
Rank	3
Type	Acrohedron
Space	Spherical
Notation
Stewart notation	m*
Elements
Faces	1+2+2+2+2 triangles, 1+1 squares, 1 pentagon
Edges	20
Vertices	10
Measures (edge length 1)
Surface area	$\frac{8+9\sqrt{3}+\sqrt{25+10\sqrt{5}}}{4}$
Abstract & topological properties
Flag count	80
Euler characteristic	2
Surface	Sphere
Orientable	Yes
Genus	0
Properties
Symmetry	A1×I×I
Convex	No
Nature	Tame

m* is a nonconvex polyhedron with all regular faces, and the smallest known non-self-intersecting 5-4-3 acrohedron. It was first described and named by Bonnie Stewart in Adventures Among the Toroids, and rediscovered during the search for acrohedra. It can be formed as an outer-blend of m with a pentagonal pyramid.

External links

• Jim McNeill. "5-4-3"

Bibliography

• Stewart, Bonnie (1964). Adventures Amoung the Toroids (2 ed.). ISBN 0686-119 36-3.