m

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m
Rank3
TypeAcrohedron
Notation
Stewart notationm
Elements
Faces2 squares, 2+4+4 triangles
Edges1+2+2+2+4+4+4
Vertices1+2+2+4
Measures (edge length 1)
Volume
Abstract & topological properties
Flag count52
Euler characteristic2
OrientableYes
Genus0
Properties
SymmetryK2×I, order 4
Flag orbits13
ConvexNo

m is a non-convex polyhedron with regular faces.

Vertex coordinates[edit | edit source]

Vertex coordinates for m with unit edge length can be given as:

  • ,
  • ,
  • ,
  • .

Related polytopes[edit | edit source]

m has 3 concave triangular faces in the same configuration as three faces of the icosahedron. This allows a blend of the icosahedron with m along these faces. Several notable polyhedra are formed as diminishings of this blend.

In addition to m*, m is related to another 5-4-3 acrohedron. Two copies of m can be excavated from A5'' to form the prize substitute, a 5-4-3 acrohedron with 16 faces.[1]

References[edit | edit source]

  1. 1.0 1.1 Stewart (1964:157)

Bibliography[edit | edit source]

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