Great ditrigonal dodecicosidodecahedron
{{Short description|Polyhedron with 44 faces}}
{{Uniform polyhedra db|Uniform polyhedron stat table|gdDID}}
File:Great ditrigonal dodecicosidodecahedron.stl
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.{{Cite web|url=https://www.mathconsult.ch/static/unipoly/42.html|title=42: great ditrigonal dodecicosidodecahedron|last=Maeder|first=Roman|date=|website=MathConsult|archive-url=|archive-date=|access-date=}} Its vertex figure is an isosceles trapezoid.
Related polyhedra
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).
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See also
References
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External links
- {{mathworld2 | urlname = GreatDitrigonalDodecicosidodecahedron| title = Great ditrigonal dodecicosidodecahedron | urlname2 = UniformPolyhedron| title2 = Uniform polyhedron}}
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