Small icosihemidodecacron

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Small icosihemidodecacron
Rank3
TypeUniform dual
Notation
Coxeter diagram(m3/2o3m5*a)/2
Elements
Faces30
Edges60
Vertices20+6
Vertex figure20 triangles, 6 decagons
Measures (edge length 1)
Dihedral angle144°
Related polytopes
DualSmall icosihemidodecahedron
ConjugateGreat icosihemidodecacron
Convex coreRhombic triacontahedron
Abstract & topological properties
Euler characteristic–4
OrientableNo
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The small icosihemidodecacron is the dual of the small icosihemidodecahedron. Because the latter polyhedron has six faces going through its middle, six of the small icosihemidodecacron's vertices are at an ideal points infinitely far away from the origin (in projective space). This is usually represented in images and models by prisms extending an arbitrarily long distance.

It appears the same as the small dodecahemidodecacron.

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