Polyhedron with 24 faces
3D model of a small stellated truncated dodecahedron
In 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.[1] It is given a Schläfli symbol t{5⁄3,5}, and Coxeter diagram ![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png)
![](//upload.wikimedia.org/wikipedia/commons/a/aa/CDel_5-3.png)
![](//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png)
![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_5.png)
.
Related polyhedra
It shares its vertex arrangement with three other uniform polyhedra: the convex rhombicosidodecahedron, the small dodecicosidodecahedron and the small rhombidodecahedron.
It also has the same vertex arrangement as the uniform compounds of 6 or 12 pentagrammic prisms.
See also
References
External links