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Cantellated tesseract information


Four cantellations

tesseract

Cantellated tesseract

Cantellated 16-cell
(Rectified 24-cell)

16-cell

Cantitruncated tesseract

Cantitruncated 16-cell
(Truncated 24-cell)
Orthogonal projections in A4 Coxeter plane

In four-dimensional geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract.

There are four degrees of cantellations of the tesseract including with permutations truncations. Two are also derived from the 24-cell family.

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Cantellated tesseract

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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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Truncated tesseract

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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...

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Runcinated tesseracts

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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...

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Rectified tesseract

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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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List of mathematical shapes

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Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified 16-cell...

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Triangular prism

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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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Cuboctahedron

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rectified octahedron (Norman Johnson) With Td symmetry, order 24, it is a cantellated tetrahedron or rhombitetratetrahedron. With D3d symmetry, order 12, it...

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B4 polytope

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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

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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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Uniform 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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Cantel

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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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Cubic honeycomb

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are located at the fcc positions of the lattice. The cantellated cubic honeycomb or cantellated cubic cellulation is a uniform space-filling tessellation...

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Cantellated tesseractic honeycomb

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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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Stericantellated tesseractic honeycomb

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symbol t0,2,4{4,3,3,4} Coxeter-Dynkin diagrams 4-face type Tesseract Cantellated tesseract Rhombicuboctahedral prism Cell type Rhombicuboctahedron Cube...

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