Great ditrigonal dodecicosidodecahedron

Great ditrigonal dodecicosidodecahedron
Great ditrigonal dodecicosidodecahedron.png
Type Uniform star polyhedron
Elements F = 44, E = 120
V = 60 (χ = −16)
Faces by sides 20{3}+12{5}+12{10/3}
Wythoff symbol 3 5 | 5/3
5/4 3/2 | 5/3
Symmetry group Ih, [5,3], *532
Index references U42, C54, W81
Dual polyhedron Great ditrigonal dodecacronic hexecontahedron
Vertex figure Great ditrigonal dodecicosidodecahedron vertfig.png
3.10/3.5.10/3
Bowers acronym Gidditdid

In geometry, the great ditrigonal dodecicosidodecahedron (or great dodekified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U42. It has 44 faces (20 triangles, 12 pentagons, and 12 decagrams), 120 edges, and 60 vertices.[1] Its vertex figure is an isosceles trapezoid.

3D model of a great ditrigonal dodecicosidodecahedron

Related polyhedraEdit

It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great icosicosidodecahedron (having the triangular and pentagonal faces in common) and the great dodecicosahedron (having the decagrammic faces in common).

 
Truncated dodecahedron
 
Great icosicosidodecahedron
 
Great ditrigonal dodecicosidodecahedron
 
Great dodecicosahedron

ReferencesEdit

  1. ^ Maeder, Roman. "42: great ditrigonal dodecicosidodecahedron". MathConsult.

See alsoEdit

External linksEdit