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Reference.org
Star polyhedron
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<p>In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, a star polyhedron is a <a href="/facts/Polyhedron/UC0p9FTF">polyhedron</a> which has some repetitive quality of <a href="/facts/Nonconvex_polygon/JkbTVTsY">nonconvexity</a> giving it a star-like visual quality. </p><p>There are two general kinds of star polyhedron: </p> <ul><li>Polyhedra which self-intersect in a repetitive way.</li> <li>Concave polyhedra of a particular kind which alternate convex and concave or saddle vertices in a repetitive way. Mathematically these figures are examples of <a href="/facts/Star_domain/gMTBXf96">star domains</a>.</li></ul> <p>Mathematical studies of star polyhedra are usually concerned with <a href="/facts/Regular_polyhedron/HJ6oGyug">regular</a>, <a href="/facts/Uniform_polyhedron/PHnprqRC">uniform</a> polyhedra, or the <a href="/facts/Dual_polyhedron/rkIHbmAf">duals</a> of the uniform polyhedra. All these stars are of the self-intersecting kind. </p>