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Small ditrigonal dodecicosidodecahedron

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Small ditrigonal dodecicosidodecahedron
Type Uniform star polyhedron
Elements F = 44, E = 120
V = 60 (χ = −16)
Faces by sides 20{3}+12{5/2}+12{10}
Coxeter diagram
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
3.10.5/3.10
Bowers acronym Sidditdid
3D model of a small ditrigonal dodecicosidodecahedron

In geometry, the small ditrigonal dodecicosidodecahedron (or small dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U43. It has 44 faces (20 triangles, 12 pentagrams and 12 decagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.

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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

Small icosicosidodecahedron

Small ditrigonal dodecicosidodecahedron

Small dodecicosahedron

See also

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References

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  1. ^ Maeder, Roman. "43: small ditrigonal dodecicosidodecahedron". MathConsult.
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