Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Small stellated truncated dodecahedron
open-in-new
<table><tbody><tr><th colspan="2">Small stellated truncated dodecahedron</th></tr><tr><td colspan="2"></td></tr><tr><td>Type</td><td><a href="/facts/Uniform_star_polyhedron/rSv9XpHQ">Uniform star polyhedron</a></td></tr><tr><td><a href="/facts/Euler_characteristic/JCjzWUr2">Elements</a></td><td><i>F</i> = 24, <i>E</i> = 90<i>V</i> = 60 (χ = −6)</td></tr><tr><td>Faces by sides</td><td>12{5}+12{10/3}</td></tr><tr><td><a href="/facts/Coxeter_diagram/Ik6LmXJB">Coxeter diagram</a></td><td></td></tr><tr><td><a href="/facts/Wythoff_symbol/ECD0Wl5x">Wythoff symbol</a></td><td>2 5 | 5/32 5/4 | 5/3</td></tr><tr><td><a href="/facts/List_of_spherical_symmetry_groups/3X3YcHoQ">Symmetry group</a></td><td>Ih, [5,3], *532</td></tr><tr><td><a href="/facts/List_of_uniform_polyhedra/robWbdeH">Index references</a></td><td><a href="/facts/Uniform_polyhedron/PHnprqRC">U</a>58, <a href="/facts/Harold_Scott_MacDonald_Coxeter/D2l5jWGG">C</a>74, <a href="/facts/List_of_Wenninger_polyhedron_models/hwApnNpt">W</a>97</td></tr><tr><td>Dual polyhedron</td><td><a href="/facts/Great_pentakis_dodecahedron/u0KVkg7x">Great pentakis dodecahedron</a></td></tr><tr><td>Vertex figure</td><td>5.10/3.10/3</td></tr><tr><td>Bowers acronym</td><td>Quit Sissid</td></tr></tbody></table> <p>In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, the small stellated truncated dodecahedron (or quasitruncated small stellated dodecahedron or small stellatruncated dodecahedron) is a <a href="/facts/Nonconvex_uniform_polyhedron/rSv9XpHQ">nonconvex uniform polyhedron</a>, indexed as U58. It has 24 faces (12 <a href="/facts/Pentagon/jeHEARHH">pentagons</a> and 12 <a href="/facts/Decagram_(geometry)/DzBUo8fY">decagrams</a>), 90 edges, and 60 vertices. It is given a <a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a> t{5⁄3,5}, and <a href="/facts/Coxeter_diagram/Ik6LmXJB">Coxeter diagram</a> . </p>