Small stellated truncated dodecahedron











































Small stellated truncated dodecahedron

Small stellated truncated dodecahedron.png
Type
Uniform star polyhedron
Elements
F = 24, E = 90
V = 60 (χ = −6)
Faces by sides 12{5}+12{10/3}
Wythoff symbol 2 5 | 5/3
2 5/4 | 5/3
Symmetry group Ih, [5,3], *532
Index references
U58, C74, W97
Dual polyhedron
Great pentakis dodecahedron
Vertex figure
Small stellated truncated dodecahedron vertfig.png
5.10/3.10/3
Bowers acronym Quit Sissid

In geometry, the small stellated truncated dodecahedron or quasitruncated small stellated dodecahedron is a nonconvex uniform polyhedron, indexed as U58. It is given a Schläfli symbol t{5/3,5}, and Coxeter diagram CDel node 1.pngCDel 5-3.pngCDel node 1.pngCDel 5.pngCDel node.png.


It has 12 pentagons and 12 decagrams, {10/3} faces.



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.














Small rhombicosidodecahedron.png
Rhombicosidodecahedron
Small dodecicosidodecahedron.png
Small dodecicosidodecahedron
Small rhombidodecahedron.png
Small rhombidodecahedron

Small stellated truncated dodecahedron.png
Small stellated truncated dodecahedron
UC36-6 pentagrammic prisms.png
Compound of six pentagrammic prisms
UC37-12 pentagrammic prisms.png
Compound of twelve pentagrammic prisms


See also


  • List of uniform polyhedra


External links


  • Weisstein, Eric W. "Small stellated truncated dodecahedron". MathWorld..mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"""""""'""'"}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}









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