Uniform polyhedron
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In geometry, a uniform polyhedron has regular polygons as faces and is vertex-transitive—there is an isometry mapping any vertex onto any other. It follows that all vertices are congruent. Uniform pol
Tetrahedron
Tetrakishexahedron
Disdyakisdodecahedron
Disdyakistriacontahedron
Archimedean solid
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The Archimedean solids are a set of thirteen convex polyhedra whose faces are regular polygons and are vertex-transitive, although they are not face-transitive and are generally not edge-transitive. T
Uniform polyhedron
…polyhedra, together with 75 other polyhedra. They are 2 infinite classes of prisms and antiprisms, the convex polyhedrons as in 5 Platonic solids and 13 Archimedean solids—2 quasiregular and 11 semiregular— the non-convex star polyhedra as in 4 Kepler–Poinsot polyhedra and 53 uniform star polyhedra—14 quasiregular and 39…
The Archimedean solids. Two of them are chiral, with both forms shown, making 15 models in all.
Truncated icosahedron in De quinque corporibus regularibus
Rhombicuboctahedron drawn by Leonardo da Vinci
Cuboctahedron in Perspectiva Corporum Regularium