Small ditrigonal dodecacronic hexecontahedron

In geometry, the small ditrigonal dodecacronic hexecontahedron (or fat star) is a nonconvex isohedral polyhedron. It is the dual of the uniform small ditrigonal dodecicosidodecahedron. It is visually identical to the small dodecicosacron. Its faces are darts. A part of each dart lies inside the solid, hence is invisible in solid models.

Small ditrigonal dodecacronic hexecontahedron
TypeStar polyhedron
Face
ElementsF = 60, E = 120
V = 44 (χ = 16)
Symmetry groupIh, [5,3], *532
Index referencesDU43
dual polyhedronSmall ditrigonal dodecicosidodecahedron
3D model of a small ditrigonal dodecacronic hexecontahedron

Proportions

Faces have two angles of , one of and one of . Its dihedral angles equal . The ratio between the lengths of the long and short edges is .

References

  • Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR 0730208
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.