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Runcinated tesseracts information



Tesseract

Runcinated tesseract
(Runcinated 16-cell)

16-cell

Runcitruncated tesseract
(Runcicantellated 16-cell)

Runcitruncated 16-cell
(Runcicantellated tesseract)

Omnitruncated tesseract
(Omnitruncated 16-cell)
Orthogonal projections in B4 Coxeter plane

In four-dimensional geometry, a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract.

There are 4 variations of runcinations of the tesseract including with permutations truncations and cantellations.

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Runcinated tesseracts

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a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract. There...

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List of mathematical shapes

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Cantellated 24-cell, Runcinated 24-cell, Snub 24-cell Rectified 120-cell, Truncated 120-cell, Cantellated 120-cell, Runcinated 120-cell Rectified 600-cell...

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Truncated tesseract

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In geometry, a truncated tesseract is a uniform 4-polytope formed as the truncation of the regular tesseract. There are three truncations, including a...

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Rectified tesseract

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tetrahedra. It has half the vertices of a runcinated tesseract, with its construction, called a runcic tesseract. It has two uniform constructions, as a...

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Runcinated tesseractic honeycomb

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runcination of a tesseractic honeycomb creating runcinated tesseracts, and new tesseract, rectified tesseract and cuboctahedral prism facets. The [4,3,3,4]...

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Octagon

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be seen as 6 of 24 faces in a Petrie polygon projection plane of the tesseract. The list (sequence A006245 in the OEIS) defines the number of solutions...

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Triangular prism

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Cantitruncated 5-cell Runcinated 5-cell Runcitruncated 5-cell Cantellated tesseract Cantitruncated tesseract Runcinated tesseract Runcitruncated tesseract Cantellated...

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Cube

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analogue of a cube in four-dimensional Euclidean space has a special name—a tesseract or hypercube. More properly, a hypercube (or n-dimensional cube or simply...

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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 degrees...

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Hexagonal tiling honeycomb

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and triangular prism cells, with a mirrored sphenoid vertex figure. The runcinated hexagonal tiling honeycomb, t0,3{6,3,3}, has tetrahedron, hexagonal tiling...

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Cubic honeycomb

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honeycombs with cubic cells. The cubic honeycomb has a lower symmetry as a runcinated cubic honeycomb, with two sizes of cubes. A double symmetry construction...

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