snub cube การใช้
- Taking all of them together yields the compound of two snub cubes.
- Its vertex figure contains 4 tetrahedra, 2 octahedra, and 2 snub cubes.
- There are also two Archimedean solids with 60 edges : the snub cube and the icosidodecahedron.
- For example, the snub cube has clockwise and counterclockwise forms which are identical across mirror images.
- By this definition, even highly-symmetric and enantiomorphic polytopes such as the snub cube are not chiral.
- The union of both forms is a compound of two snub cubes, and the convex hull of both sets of vertices is a truncated cuboctahedron.
- The symmetry groups of the archimedean solids snub cube and snub dodecahedron are like the symmetry groups of the cube and the dodecahedron, just without the reflections.
- It is given by the vertices of the snub cube, a chiral polyedron-- talk ) 16 : 16, 7 January 2009 ( UTC ).
- An " improved " snub cube, with a slightly smaller square face and slightly larger triangular faces compared to Archimedes'uniform snub cube, is useful as a spherical design.
- An " improved " snub cube, with a slightly smaller square face and slightly larger triangular faces compared to Archimedes'uniform snub cube, is useful as a spherical design.
- Taking the even permutations with an odd number of plus signs, and the odd permutations with an even number of plus signs, gives a different snub cube, the mirror image.
- The icosahedron, as a uniform " snub tetrahedron " 25px, is similar to these snub-pair compounds : compound of two snub cubes and compound of two snub dodecahedra.
- :( ) The snub 24-cell here, despite its common name, is not analogous to the snub cube; rather, is derived by an alternation of the truncated 24-cell.
- It is possible for polytopes to have a high degree of symmetry, but yet to lack mirror symmetry; an example is the snub cube, which is vertex-transitive and chiral in this sense.
- Coxeter's snub terminology is slightly different, meaning an truncation, deriving the snub cube as a " snub cuboctahedron ", and the snub dodecahedron as a " snub icosidodecahedron ".
- The great icosahedron, as a uniform " retrosnub tetrahedron " 50px, is similar to these snub-pair compounds : compound of two icosahedra, compound of two snub cubes and compound of two snub dodecahedra.
- The snub cube and snub dodecahedron are known as " chiral ", as they come in a left-handed ( Latin : levomorph or laevomorph ) form and right-handed ( Latin : dextromorph ) form.
- In contrast to its appearance within former groups as partly snubbed 4-polytope, only within this symmetry group it has the full analogy to the Kepler snubs, i . e . the snub cube and the snub dodecahedron.
- :Yes-the symmetry group of the snub cube is " O ", and the symmetry group of the snub dodecahedron is " I "-see octahedral group and icosahedral group at MathWorld .-- Gandalf61 16 : 06, Nov 22, 2003 ( UTC)
- In contrast a "'full snub 24-cell "'or "'omnisnub 24-cell "', defined as an symmetry 3, 4, 3 +, order 1152, and constructed from 48 snub cubes, 192 octahedrons, and 576 tetrahedrons filling the gaps at the deleted vertices.
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