Small ditrigonal dodecicosidodecahedron

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Small ditrigonal dodecicosidodecahedron
Small ditrigonal dodecicosidodecahedron.png
Type Uniform star polyhedron
Elements F = 44, E = 120
V = 60 (χ = −16)
Faces by sides 20{3}+12{5/2}+12{10}
Wythoff symbol 5/3 3 | 5
5/2 3/2 | 5
Symmetry group Ih, [5,3], *532
Index references U43, C55, W82
Dual polyhedron Small ditrigonal dodecacronic hexecontahedron
Vertex figure Small ditrigonal dodecicosidodecahedron vertfig.png
Bowers acronym Sidditdid

In geometry, the small ditrigonal dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U43. Its vertex figure is a crossed quadrilateral.

Related polyhedra[edit]

It shares its vertex arrangement with the great stellated truncated dodecahedron. It additionally shares its edges with the small icosicosidodecahedron (having the triangular and pentagrammic faces in common) and the small dodecicosahedron (having the decagonal faces in common).

Great stellated truncated dodecahedron.png
Great stellated truncated dodecahedron
Small icosicosidodecahedron.png
Small icosicosidodecahedron
Small ditrigonal dodecicosidodecahedron.png
Small ditrigonal dodecicosidodecahedron
Small dodecicosahedron.png
Small dodecicosahedron

See also[edit]

External links[edit]