Small ditrigonal dodecicosidodecahedron

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}
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

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

Related polyhedra

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

• List of uniform polyhedra

External links

• Weisstein, Eric W., "Small ditrigonal dodecicosidodecahedron", MathWorld.