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.

Small ditrigonal dodecicosidodecahedron
TypeUniform star polyhedron
ElementsF = 44, E = 120
V = 60 (χ = 16)
Faces by sides20{3}+12{5/2}+12{10}
Wythoff symbol5
5/2 3/2 | 5
Symmetry groupIh, [5,3], *532
Index referencesU43, C55, W82
Dual polyhedronSmall ditrigonal dodecacronic hexecontahedron
Vertex figure
3.10.5/3.10
Bowers acronymSidditdid
3D model of a small ditrigonal dodecicosidodecahedron

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

References

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

See also

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