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Truncated tesseract information



Tesseract

Truncated tesseract

Rectified tesseract

Bitruncated tesseract
Schlegel diagrams centered on [4,3] (cells visible at [3,3])

16-cell

Truncated 16-cell

Rectified 16-cell
(24-cell)

Bitruncated tesseract
Schlegel diagrams centered on [3,3] (cells visible at [4,3])

In geometry, a truncated tesseract is a uniform 4-polytope formed as the truncation of the regular tesseract.

There are three truncations, including a bitruncation, and a tritruncation, which creates the truncated 16-cell.

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Truncated tesseract

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creates the truncated 16-cell. The truncated tesseract is bounded by 24 cells: 8 truncated cubes, and 16 tetrahedra. Truncated tesseract (Norman W. Johnson)...

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Runcinated tesseracts

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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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Cantellated tesseract

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the truncated tetrahedra. The truncated tetrahedra correspond with the tesseract's vertices, and the triangular prisms correspond with the tesseract's edges...

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Octagon

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also be constructed as a quasiregular truncated square, t{4}, which alternates two types of edges. A truncated octagon, t{8} is a hexadecagon, {16}. A...

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Truncated cube

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In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...

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List of mathematical shapes

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

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Rectified tesseract

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polytope, labeling it as tC8. The rectified tesseract may be constructed from the tesseract by truncating its vertices at the midpoints of its edges....

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Uniform polytope

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Faces are truncated, doubling their edges. (The term, coined by Kepler, comes from Latin truncare 'to cut off'.) There are higher truncations also: bitruncation...

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Simple polytope

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regular 120-cell and tesseract. Simple uniform 4-polytope include the truncated 5-cell, truncated tesseract, truncated 24-cell, truncated 120-cell, and duoprisms...

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Truncated octahedron

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The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...

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Hexagon

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the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...

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Dodecahedron

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symmetry, order 24 Triakis tetrahedron – 12 isosceles triangles, dual of truncated tetrahedron, Td symmetry, order 24 Other less regular faced: Hendecagonal...

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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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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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Rhombicuboctahedral prism

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parabidiminished rectified tesseract, truncated tetrahedral alterprism, or truncated tetrahedral cupoliprism, s3{2,4,3}, . It is made from 2 truncated tetrahedra, 6...

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Hexagonal tiling honeycomb

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alternates two types of tetrahedra. The truncated hexagonal tiling honeycomb, t0,1{6,3,3}, has tetrahedral and truncated hexagonal tiling facets, with a triangular...

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Truncated tesseractic honeycomb

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constructed by a truncation of a tesseractic honeycomb creating truncated tesseracts, and adding new 16-cell facets at the original vertices. The [4,3...

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Spherinder

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prism, truncated tetrahedral prism, cubic prism, cuboctahedral prism, octahedral prism, rhombicuboctahedral prism, truncated cubic prism, truncated octahedral...

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8

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triangular antiprisms (UC22 and UC23, with p = 3 and q = 1). Truncated figures The truncated tetrahedron is the simplest Archimedean solid, made of four...

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