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25 relations: B7 polytope, B8 polytope, Eight-dimensional space, Emanuel Lodewijk Elte, Hexadecagon, Hypercube, List of mathematical shapes, List of polygons, polyhedra and polytopes, List of regular polytopes and compounds, Octagon, Point group, Polytope families, Proprism, Rectified 8-cubes, Rectified 8-orthoplexes, Regular polytope, Truncated 8-cubes, Truncated 8-orthoplexes, Uniform 8-polytope, 10-cube, 8-cubic honeycomb, 8-demicube, 8-demicubic honeycomb, 8-orthoplex, 9-cube.
B7 polytope
In 7-dimensional geometry, there are 128 uniform polytopes with B7 symmetry.
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B8 polytope
In 8-dimensional geometry, there are 256 uniform polytopes with B8 symmetry.
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Eight-dimensional space
In mathematics, a sequence of n real numbers can be understood as a location in n-dimensional space.
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Emanuel Lodewijk Elte
Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.
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Hexadecagon
In mathematics, a hexadecagon (sometimes called a hexakaidecagon) or 16-gon is a sixteen-sided polygon.
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Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
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List of mathematical shapes
Following is a list of some mathematically well-defined shapes.
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List of polygons, polyhedra and polytopes
A polytope is a geometric object with flat sides, which exists in any general number of dimensions.
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List of regular polytopes and compounds
This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces.
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Octagon
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.
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Point group
In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed.
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Polytope families
There are several families of symmetric polytopes with irreducible symmetry which have a member in more than one dimensionality.
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Proprism
In geometry of 4 dimensions or higher, a proprism is a polytope resulting from the Cartesian product of two or more polytopes, each of two dimensions or higher.
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Rectified 8-cubes
In eight-dimensional geometry, a rectified 8-cube is a convex uniform 8-polytope, being a rectification of the regular 8-cube.
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Rectified 8-orthoplexes
In eight-dimensional geometry, a rectified 8-orthoplex is a convex uniform 8-polytope, being a rectification of the regular 8-orthoplex.
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Regular polytope
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.
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Truncated 8-cubes
In eight-dimensional geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube.
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Truncated 8-orthoplexes
In eight-dimensional geometry, a truncated 8-orthoplex is a convex uniform 8-polytope, being a truncation of the regular 8-orthoplex.
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Uniform 8-polytope
In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets.
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10-cube
In geometry, a 10-cube is a ten-dimensional hypercube.
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8-cubic honeycomb
The 8-cubic honeycomb or octeractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 8-space.
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8-demicube
In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed.
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8-demicubic honeycomb
The 8-demicubic honeycomb, or demiocteractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 8-space.
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8-orthoplex
In geometry, an 8-orthoplex or 8-cross polytope is a regular 8-polytope with 16 vertices, 112 edges, 448 triangle faces, 1120 tetrahedron cells, 1792 5-cells 4-faces, 1792 5-faces, 1024 6-faces, and 256 7-faces.
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9-cube
In geometry, a 9-cube is a nine-dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-cube 7-faces, and 18 8-cube 8-faces.
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8 cube, 8-hypercube, Octeract.
References
[1] https://en.wikipedia.org/wiki/8-cube
