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Small ditrigonal dodecicosidodecahedron

polyhedron with 44 faces

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Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionSep 27, 2023
Entity authorityQ2718532 ↗
Source-derived summary

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).

See also

List of uniform polyhedra

References

External links

Weisstein, Eric W. "Small ditrigonal dodecicosidodecahedron". MathWorld.

Editorial summary

The public source identifies “Small ditrigonal dodecicosidodecahedron” as polyhedron with 44 faces. This brief keeps that definition visible, then builds a research path around Small, ditrigonal and dodecicosidodecahedron.

Editorial reviewA dependable orientation record for establishing vocabulary, names and a first evidence trail. The current 97-word lead offers orientation but no explicit four-digit date, so chronology should not be assumed. The selected authority fields contribute no independent date. Its value is orientation rather than verdict, with Small, ditrigonal and dodecicosidodecahedron providing the first useful test.
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Source & attribution

This entry incorporates text from “Small ditrigonal dodecicosidodecahedron” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.