geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract. There are four...
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octahedra, and 16 truncated tetrahedra. It has half the vertices of a cantellated tesseract with construction . It is related to, but not to be confused with...
17 KB (1,289 words) - 19:39, 13 June 2024
runcinated tesseract, with its construction, called a runcic tesseract. It has two uniform constructions, as a rectified 8-cell r{4,3,3} and a cantellated demitesseract...
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constructed by contracting the small rhombicuboctahedral cells of the cantellated tesseract radially, and filling in the spaces between them with cubes. In...
29 KB (2,219 words) - 04:16, 27 February 2024
Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified 16-cell...
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Uniform 4-polytope (redirect from Cantellated demitesseract)
that is a finite set – the cubic prism is excluded as it duplicates the tesseract), but not the infinite categories of duoprisms or prisms of antiprisms...
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Cantellated 5-cell Cantitruncated 5-cell Runcinated 5-cell Runcitruncated 5-cell Cantellated tesseract Cantitruncated tesseract Runcinated tesseract Runcitruncated...
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Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified 16-cell...
29 KB (2,667 words) - 01:10, 4 June 2024
polyhedral cells around each edge is represented by {p,q,r}. For example, a tesseract, {4,3,3}, has 3 cubes, {4,3}, around an edge. In general, a regular polytope...
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solids (excluding the cube-prism, which has already been counted as the tesseract), and two infinite sets: the prisms on the convex antiprisms, and the...
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uniform 4-polytopes with B4 symmetry. There are two regular forms, the tesseract and 16-cell, with 16 and 8 vertices respectively. They can be visualized...
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Hexagonal tiling honeycomb (redirect from Cantellated hexagonal tiling honeycomb)
hexagonal tiling cells, with a digonal disphenoid vertex figure. The cantellated hexagonal tiling honeycomb, t0,2{6,3,3}, has octahedron, rhombitrihexagonal...
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Rectified 24-cell (redirect from Cantellated 16-cell)
Rectified 24-cell, Cantellated 16-cell (Norman Johnson) Rectified icositetrachoron (Acronym rico) (George Olshevsky, Jonathan Bowers) Cantellated hexadecachoron...
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Cubic honeycomb (redirect from Cantellated cubic honeycomb)
are located at the fcc positions of the lattice. The cantellated cubic honeycomb or cantellated cubic cellulation is a uniform space-filling tessellation...
66 KB (3,191 words) - 14:11, 7 October 2023
for his work on interferons Saara Cantell, Finnish film director Cantellated tesseract This disambiguation page lists articles associated with the title...
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vertex figure is a cube. The 24-cell is self-dual. The 24-cell and the tesseract are the only convex regular 4-polytopes in which the edge length equals...
237 KB (31,111 words) - 17:51, 18 June 2024
triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron Small rhombated hexateron...
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second set of coordinates coincide with the vertices of an inscribed cantellated tesseract. The regular skew polyhedron, {4,8|3}, exists in 4-space with 8...
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constructed by a cantellation of a tesseractic honeycomb creating cantellated tesseracts, and new 24-cell and octahedral prism facets at the original vertices...
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Cuboctahedron (redirect from Cantellated tetrahedron)
process known as cantellation, making the cuboctahedron being named cantellated tetrahedron. From all of these constructions, the cuboctahedron has 14...
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24-cell honeycomb, containing rectified tesseract, cantellated 24-cell, and tetrahedral prism cells. Cantellated icositetrachoric tetracomb/honeycomb Small...
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Runcic 7-cubes (redirect from Cantellated 7-demicube)
sirhesa) (Jonathan Bowers) The Cartesian coordinates for the vertices of a cantellated demihepteract centered at the origin are coordinate permutations: (±1...
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with truncations. The cantellated 24-cell or small rhombated icositetrachoron is a uniform 4-polytope. The boundary of the cantellated 24-cell is composed...
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Name tesseract rectified tesseract truncated tesseract cantellated tesseract runcinated tesseract bitruncated tesseract cantitruncated tesseract runcitruncated...
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In six-dimensional geometry, a cantellated 6-cube is a convex uniform 6-polytope, being a cantellation of the regular 6-cube. There are 8 cantellations...
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Rectified 24-cell honeycomb (redirect from Cantellated 16-cell honeycomb)
containing tesseract and rectified 24-cell cells. Rectified icositetrachoric tetracomb Rectified icositetrachoric honeycomb Cantellated 16-cell honeycomb...
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meeting at each vertex. Cantellated 120-cell Norman Johnson Cantellated hecatonicosachoron / Cantellated dodecacontachoron / Cantellated polydodecahedron Small...
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In six-dimensional geometry, a cantellated 6-simplex is a convex uniform 6-polytope, being a cantellation of the regular 6-simplex. There are unique 4...
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Order-5 cubic honeycomb (redirect from Cantellated order-5 cubic honeycomb)
honeycomb is the same as the bitruncated order-4 dodecahedral honeycomb. The cantellated order-5 cubic honeycomb, , has rhombicuboctahedron, icosidodecahedron...
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octahedron; the vertex figure is a nonuniform triangular prism. Cantellated pentachoron Cantellated 4-simplex (small) prismatodispentachoron Rectified dispentachoron...
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