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Rhombicuboctahedral Prism
In geometry, a rhombicuboctahedral prism is a convex uniform polychoron, uniform polychoron (four-dimensional polytope). It is one of 18 convex Uniform_polychoron#Polyhedral_hyperprisms, uniform polyhedral prisms created by using uniform Prism (geometry), prisms to connect pairs of Platonic solids or Archimedean solids in parallel hyperplanes. Images Alternative names * small rhombicuboctahedral prism * (Small) rhombicuboctahedral dyadic prism (Norman W. Johnson) * Sircope (Jonathan Bowers: for small-rhombicuboctahedral prism) * (small) rhombicuboctahedral hyperprism Related polytopes Runcic snub cubic hosochoron A related polychoron is the runcic snub cubic hosochoron, also known as a parabidiminished rectified tesseract, truncated tetrahedral alterprism, or truncated tetrahedral cupoliprism, s3, . It is made from 2 truncated tetrahedron, truncated tetrahedra, 6 tetrahedron, tetrahedra, and 8 triangular cupolae in the gaps, for a total of 16 cells, 52 faces, 60 edges, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Uniform Polychoron
In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-dimensional polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons. There are 47 non-prismatic convex uniform 4-polytopes. There are two infinite sets of convex prismatic forms, along with 17 cases arising as prisms of the convex uniform polyhedra. There are also an unknown number of non-convex star forms. History of discovery * Convex Regular polytopes: ** 1852: Ludwig Schläfli proved in his manuscript ''Theorie der vielfachen Kontinuität'' that there are exactly 6 regular polytopes in 4 dimensions and only 3 in 5 or more dimensions. * Regular star 4-polytopes (star polyhedron cells and/or vertex figures) ** 1852: Ludwig Schläfli also found 4 of the 10 regular star 4-polytopes, discounting 6 with cells or vertex figures and . ** 1883: Edmund Hess completed the list of 10 of the nonconvex regular 4-polytopes, in his book (in German) ''Einleitung in die Leh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
