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- Convex_regular_polychoron abstract "In mathematics, a convex regular polychoron is a polychoron (4-polytope) that is both regular and convex. These are the four-dimensional analogs of the Platonic solids (in three dimensions) and the regular polygons (in two dimensions).These polychora were first described by the Swiss mathematician Ludwig Schläfli in the mid-19th century. Schläfli discovered that there are precisely six such figures. Five of these may be thought of as higher-dimensional analogs of the Platonic solids. There is one additional figure (the 24-cell) which has no exact three-dimensional equivalent.Each convex regular polychoron is bounded by a set of 3-dimensional cells which are all Platonic solids of the same type and size. These are fitted together along their respective faces in a regular fashion.".
- Convex_regular_polychoron thumbnail Hypercube.svg?width=300.
- Convex_regular_polychoron wikiPageExternalLink regulars.htm.
- Convex_regular_polychoron wikiPageExternalLink www.dimensions-math.org.
- Convex_regular_polychoron wikiPageExternalLink polytopes.
- Convex_regular_polychoron wikiPageExternalLink index.html.
- Convex_regular_polychoron wikiPageExternalLink polytope.shtml.
- Convex_regular_polychoron wikiPageID "1818427".
- Convex_regular_polychoron wikiPageRevisionID "603807501".
- Convex_regular_polychoron hasPhotoCollection Convex_regular_polychoron.
- Convex_regular_polychoron title "Regular polychoron".
- Convex_regular_polychoron urlname "RegularPolychoron".
- Convex_regular_polychoron subject Category:Four-dimensional_geometry.
- Convex_regular_polychoron subject Category:Polychora.
- Convex_regular_polychoron comment "In mathematics, a convex regular polychoron is a polychoron (4-polytope) that is both regular and convex. These are the four-dimensional analogs of the Platonic solids (in three dimensions) and the regular polygons (in two dimensions).These polychora were first described by the Swiss mathematician Ludwig Schläfli in the mid-19th century. Schläfli discovered that there are precisely six such figures. Five of these may be thought of as higher-dimensional analogs of the Platonic solids.".
- Convex_regular_polychoron label "4-polytope régulier convexe".
- Convex_regular_polychoron label "Convex regular polychoron".
- Convex_regular_polychoron label "Politopo regular convexo de 4 dimensiones".
- Convex_regular_polychoron label "四维凸正多胞体".
- Convex_regular_polychoron sameAs Čtyřrozměrná_platónská_tělesa.
- Convex_regular_polychoron sameAs Politopo_regular_convexo_de_4_dimensiones.
- Convex_regular_polychoron sameAs 4-polytope_régulier_convexe.
- Convex_regular_polychoron sameAs 볼록_정다포체.
- Convex_regular_polychoron sameAs m.05zczk.
- Convex_regular_polychoron sameAs Q2392282.
- Convex_regular_polychoron sameAs Q2392282.
- Convex_regular_polychoron wasDerivedFrom Convex_regular_polychoron?oldid=603807501.
- Convex_regular_polychoron depiction Hypercube.svg.
- Convex_regular_polychoron isPrimaryTopicOf Convex_regular_polychoron.