Small stellated truncated dodecahedron

{{Short description|Polyhedron with 24 faces}}

{{Uniform polyhedra db|Uniform polyhedron stat table|lstD}}

File:Small stellated truncated dodecahedron.stl

In three-dimensional geometry, the small stellated truncated dodecahedron (or quasitruncated small stellated dodecahedron or small stellatruncated dodecahedron) is a nonconvex uniform polyhedron, indexed as U₅₈. It has 24 faces (12 pentagons and 12 decagrams), 90 edges, and 60 vertices.{{Cite web|url=https://www.mathconsult.ch/static/unipoly/58.html|title=58: small stellated truncated dodecahedron|last=Maeder|first=Roman|date=|website=MathConsult|archive-url=|archive-date=|access-date=}} It is given a Schläfli symbol t{{{Frac|5|3}},5}, and Coxeter diagram {{CDD|node_1|5-3|node_1|5|node}}.