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- Uniform_star_polyhedron abstract "In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron. They are also sometimes called nonconvex polyhedra to imply self-intersecting. Each polyhedron can contain either star polygon faces, star polygon vertex figures or both.The complete set of 57 nonprismatic uniform star polyhedra includes the 4 regular ones, called the Kepler–Poinsot polyhedra, 5 quasiregular ones, and 48 semiregular ones.There are also two infinite sets of uniform star prisms and uniform star antiprisms. Just as (nondegenerate) star polygons (which have Polygon density greater than 1) correspond to circular polygons with overlapping tiles, star polyhedra that do not pass through the center have polytope density greater than 1, and correspond to spherical polyhedra with overlapping tiles; there are 48 nonprismatic such uniform star polyhedra. The remaining 9 nonprismatic uniform star polyhedra, those that pass through the center, are the hemipolyhedra, and do not correspond to spherical polyhedra, as the center cannot be projected uniquely onto the sphere.The nonconvex forms are constructed from Schwarz triangles.All the uniform polyhedra are listed below by their symmetry groups and subgrouped by their vertex arrangements.Regular polyhedra are labeled by their Schläfli symbol. Other nonregular uniform polyhedra are listed with their vertex configuration or their Uniform polyhedron index U(1-80).Note: For nonconvex forms below an additional descriptor Nonuniform is used when the convex hull vertex arrangement has same topology as one of these, but has nonregular faces. For example an nonuniform cantellated form may have rectangles created in place of the edges rather than squares.".
- Uniform_star_polyhedron thumbnail Uniform-Polyhedra-at-the-Science-Museum.jpg?width=300.
- Uniform_star_polyhedron wikiPageExternalLink 2254.
- Uniform_star_polyhedron wikiPageExternalLink bibperm?q1=ABN8316.0001.001.
- Uniform_star_polyhedron wikiPageExternalLink ~rl.
- Uniform_star_polyhedron wikiPageExternalLink uniform.pdf.
- Uniform_star_polyhedron wikiPageExternalLink kaleido.
- Uniform_star_polyhedron wikiPageExternalLink dual.html.
- Uniform_star_polyhedron wikiPageExternalLink poly.html.
- Uniform_star_polyhedron wikiPageExternalLink unipoly.
- Uniform_star_polyhedron wikiPageExternalLink ?p=baeede46029e489f9df9a3152c6cd8f6&pi=2.
- Uniform_star_polyhedron wikiPageID "8464397".
- Uniform_star_polyhedron wikiPageRevisionID "604588446".
- Uniform_star_polyhedron hasPhotoCollection Uniform_star_polyhedron.
- Uniform_star_polyhedron title "Uniform Polyhedron".
- Uniform_star_polyhedron urlname "UniformPolyhedron".
- Uniform_star_polyhedron subject Category:Uniform_polyhedra.
- Uniform_star_polyhedron comment "In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron. They are also sometimes called nonconvex polyhedra to imply self-intersecting.".
- Uniform_star_polyhedron label "Poliedro estrellado no convexo".
- Uniform_star_polyhedron label "Polyèdre étoilé non convexe".
- Uniform_star_polyhedron label "Uniform star polyhedron".
- Uniform_star_polyhedron sameAs Poliedro_estrellado_no_convexo.
- Uniform_star_polyhedron sameAs Polyèdre_étoilé_non_convexe.
- Uniform_star_polyhedron sameAs 고른_별_다면체.
- Uniform_star_polyhedron sameAs m.0274c83.
- Uniform_star_polyhedron sameAs Q2878957.
- Uniform_star_polyhedron sameAs Q2878957.
- Uniform_star_polyhedron wasDerivedFrom Uniform_star_polyhedron?oldid=604588446.
- Uniform_star_polyhedron depiction Uniform-Polyhedra-at-the-Science-Museum.jpg.
- Uniform_star_polyhedron isPrimaryTopicOf Uniform_star_polyhedron.
