Small ditrigonal dodecicosidodecahedron

Small ditrigonal dodecicosidodecahedron
File: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}
Coxeter diagram	File:CDel label5-3.pngFile:CDel branch 10ru.pngFile:CDel split2-53.pngFile:CDel node 1.png
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	File:Small ditrigonal dodecicosidodecahedron vertfig.png 3.10.5/3.10
Bowers acronym	Sidditdid

File:Small ditrigonal dodecicosidodecahedron.stl

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. 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).

File:Great stellated truncated dodecahedron.png Great stellated truncated dodecahedron

File:Small icosicosidodecahedron.png Small icosicosidodecahedron

File:Small ditrigonal dodecicosidodecahedron.png Small ditrigonal dodecicosidodecahedron

File:Small dodecicosahedron.png Small dodecicosahedron

See also

• List of uniform polyhedra