Small icosihemidodecahedron: Difference between revisions
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{{Uniform polyhedra db|Uniform polyhedron stat table|lIhD}} |
{{Uniform polyhedra db|Uniform polyhedron stat table|lIhD}} |
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In [[geometry]], the '''small icosihemidodecahedron''' is a [[uniform star polyhedron]], indexed as U<sub>49</sub>. Its [[vertex figure]] |
In [[geometry]], the '''small icosihemidodecahedron''' is a [[uniform star polyhedron]], indexed as U<sub>49</sub>. Its [[vertex figure]] alternates two regular triangles and decagrams as a [[quadrilateral#More quadrilaterals|crossed quadrilateral]]. |
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It is a [[hemipolyhedron]] with 6 [[decagon]]al faces passing through the model center. |
It is a [[hemipolyhedron]] with 6 [[decagon]]al faces passing through the model center. |
Revision as of 15:03, 15 October 2010
Small icosihemidodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 26, E = 60 V = 30 (χ = −4) |
Faces by sides | 20{3}+6{10} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
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 uniform star polyhedron, indexed as U49. Its vertex figure alternates two regular triangles and decagrams as a crossed quadrilateral.
It is a hemipolyhedron with 6 decagonal faces passing through the model center.
Related polyhedra
Its shares its edge arrangement with the icosidodecahedron (its convex hull, having the triangular faces in common), and with the small dodecahemidodecahedron (having the decagonal faces in common).
![]() Icosidodecahedron |
![]() Small icosihemidodecahedron |
![]() Small dodecahemidodecahedron |