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
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

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