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Its shares the same [[edge arrangement]], along with its 20 triangular faces, with the [[icosidodecahedron]].
Its shares the same [[edge arrangement]], along with its 20 triangular faces, with the [[icosidodecahedron]].

It is a [[hemipolyhedron]] with 6 [[decagon]]al faces passing through the model center.


== External links ==
== External links ==

Revision as of 18:07, 23 August 2009

Small icosihemidodecahedron
Type Uniform star polyhedron
Elements F = 26, E = 60
V = 30 (χ = −4)
Faces by sides 20{3}+6{10}
Coxeter diagram (double covering)
Wythoff symbol 3/2 3 | 5 (double covering)
Symmetry group Ih, [5,3], *532
Index references U49, C63, W89
Dual polyhedron Small icosihemidodecacron
Vertex figure
3.10.3/2.10
Bowers acronym Seihid

In geometry, the Small icosihemidodecahedron is a nonconvex uniform polyhedron, indexed as U49.

Its shares the same edge arrangement, along with its 20 triangular faces, with the icosidodecahedron.

It is a hemipolyhedron with 6 decagonal faces passing through the model center.

  • Weisstein, Eric W. "Small icosihemidodecahedron". MathWorld.