small ditrigonal dodecicosidodecahedron
{{Short description|Polyhedron with 44 faces}}
{{Uniform polyhedra db|Uniform polyhedron stat table|ldDID}}
File:Small ditrigonal dodecicosidodecahedron.stl
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.{{Cite web|url=https://www.mathconsult.ch/static/unipoly/43.html|title=43: small ditrigonal dodecicosidodecahedron|last=Maeder|first=Roman|date=|website=MathConsult|archive-url=|archive-date=|access-date=}} 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).
| class="wikitable" width="400" style="vertical-align:top;text-align:center"
| 100px | 100px | 100px |
See also
References
{{Reflist}}
External links
- {{mathworld | urlname = SmallDitrigonalDodecicosidodecahedron| title = Small ditrigonal dodecicosidodecahedron}}
{{Polyhedron-stub}}