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55 relations: Ammann–Beenker tiling, Birectified 16-cell honeycomb, Bitruncated 16-cell honeycomb, Bitruncated 24-cell honeycomb, Bitruncated tesseractic honeycomb, Cantellated 24-cell honeycomb, Cantellated tesseractic honeycomb, Cantitruncated 24-cell honeycomb, Cantitruncated tesseractic honeycomb, Complex polytope, Cuboctahedron, Hypercubic honeycomb, List of mathematical shapes, List of polygons, polyhedra and polytopes, List of regular polytopes and compounds, Omnitruncated tesseractic honeycomb, Order-4 24-cell honeycomb honeycomb, Order-5 tesseractic honeycomb, Rectified 24-cell honeycomb, Rectified tesseractic honeycomb, Runcicantellated 24-cell honeycomb, Runcicantellated tesseractic honeycomb, Runcicantitruncated tesseractic honeycomb, Runcinated 16-cell honeycomb, Runcinated 24-cell honeycomb, Runcinated tesseractic honeycomb, Runcitruncated tesseractic honeycomb, Snub 24-cell honeycomb, Steric tesseractic honeycomb, Stericantellated tesseractic honeycomb, Stericantic tesseractic honeycomb, Stericantitruncated 16-cell honeycomb, Stericantitruncated tesseractic honeycomb, Stericated 24-cell honeycomb, Steriruncic tesseractic honeycomb, Steriruncicantic tesseractic honeycomb, Steriruncitruncated tesseractic honeycomb, Steritruncated 16-cell honeycomb, Steritruncated tesseractic honeycomb, Tesseract, Tesseractic honeycomb honeycomb, Truncated 16-cell honeycomb, Truncated 24-cell honeycomb, Truncated tesseractic honeycomb, Uniform 5-polytope, 16-cell, 16-cell honeycomb, 24-cell, 24-cell honeycomb, 5-cell honeycomb, ..., 5-cube, 5-cubic honeycomb, 7-simplex honeycomb, 8-cubic honeycomb, 8-simplex honeycomb. Expand index (5 more) »
Ammann–Beenker tiling
In geometry, an Ammann–Beenker tiling is a nonperiodic tiling which can be generated either by an aperiodic set of prototiles as done by Robert Ammann in the 1970s, or by the cut-and-project method as done independently by F. P. M. Beenker.
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Birectified 16-cell honeycomb
In four-dimensional Euclidean geometry, the birectified 16-cell honeycomb (or runcic tesseractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Bitruncated 16-cell honeycomb
In four-dimensional Euclidean geometry, the bitruncated 16-cell honeycomb (or runcicantic tesseractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Bitruncated 24-cell honeycomb
In four-dimensional Euclidean geometry, the bitruncated 24-cell honeycomb is a uniform space-filling honeycomb.
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Bitruncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the bitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Cantellated 24-cell honeycomb
In four-dimensional Euclidean geometry, the cantellated 24-cell honeycomb is a uniform space-filling honeycomb.
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Cantellated tesseractic honeycomb
In four-dimensional Euclidean geometry, the cantellated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Cantitruncated 24-cell honeycomb
In four-dimensional Euclidean geometry, the cantitruncated 24-cell honeycomb is a uniform space-filling honeycomb.
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Cantitruncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the cantitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Complex polytope
In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one.
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Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
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Hypercubic honeycomb
In geometry, a hypercubic honeycomb is a family of regular honeycombs (tessellations) in n-dimensions with the Schläfli symbols and containing the symmetry of Coxeter group Rn (or B~n-1) for n>.
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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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Omnitruncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the omnitruncated tesseractic honeycomb is a uniform space-filling honeycomb.
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Order-4 24-cell honeycomb honeycomb
In the geometry of hyperbolic 5-space, the order-4 24-cell honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs).
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Order-5 tesseractic honeycomb
In the geometry of hyperbolic 4-space, the order-5 tesseractic honeycomb is one of five compact regular space-filling tessellations (or honeycombs).
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Rectified 24-cell honeycomb
In four-dimensional Euclidean geometry, the rectified 24-cell honeycomb is a uniform space-filling honeycomb.
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Rectified tesseractic honeycomb
In four-dimensional Euclidean geometry, the rectified tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Runcicantellated 24-cell honeycomb
In four-dimensional Euclidean geometry, the runcicantellated 24-cell honeycomb is a uniform space-filling honeycomb.
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Runcicantellated tesseractic honeycomb
In four-dimensional Euclidean geometry, the runcicantellated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Runcicantitruncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the runcicantitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Runcinated 16-cell honeycomb
In four-dimensional Euclidean geometry, the runcinated 16-cell honeycomb is a uniform space-filling honeycomb.
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Runcinated 24-cell honeycomb
In four-dimensional Euclidean geometry, the runcinated 24-cell honeycomb is a uniform space-filling honeycomb.
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Runcinated tesseractic honeycomb
In four-dimensional Euclidean geometry, the runcinated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Runcitruncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the runcitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Snub 24-cell honeycomb
In four-dimensional Euclidean geometry, the snub 24-cell honeycomb, or snub icositetrachoric honeycomb is a uniform space-filling tessellation (or honeycomb) by snub 24-cells, 16-cells, and 5-cells.
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Steric tesseractic honeycomb
In four-dimensional Euclidean geometry, the steric tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Stericantellated tesseractic honeycomb
In four-dimensional Euclidean geometry, the stericantellated tesseractic honeycomb is a uniform space-filling honeycomb.
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Stericantic tesseractic honeycomb
In four-dimensional Euclidean geometry, the stericantic tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Stericantitruncated 16-cell honeycomb
In four-dimensional Euclidean geometry, the stericantitruncated 16-cell honeycomb is a uniform space-filling honeycomb.
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Stericantitruncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the stericantitruncated tesseractic honeycomb is a uniform space-filling honeycomb.
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Stericated 24-cell honeycomb
In four-dimensional Euclidean geometry, the stericated 24-cell honeycomb (or stericated 16-cell honeycomb) is a uniform space-filling honeycomb.
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Steriruncic tesseractic honeycomb
In four-dimensional Euclidean geometry, the steriruncic tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Steriruncicantic tesseractic honeycomb
In four-dimensional Euclidean geometry, the steriruncicantic tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Steriruncitruncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the steriruncitruncated tesseractic honeycomb is a uniform space-filling honeycomb.
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Steritruncated 16-cell honeycomb
In four-dimensional Euclidean geometry, the steritruncated 16-cell honeycomb is a uniform space-filling honeycomb, with runcinated 24-cell, truncated 16-cell, octahedral prism, 3-6 duoprism, and truncated tetrahedral prism cells.
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Steritruncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the steritruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
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Tesseractic honeycomb honeycomb
In the geometry of hyperbolic 5-space, the tesseractic honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs).
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Truncated 16-cell honeycomb
In four-dimensional Euclidean geometry, the truncated 16-cell honeycomb (or cantic tesseractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Truncated 24-cell honeycomb
In four-dimensional Euclidean geometry, the truncated 24-cell honeycomb is a uniform space-filling honeycomb.
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Truncated tesseractic honeycomb
In four-dimensional Euclidean geometry, the truncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
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Uniform 5-polytope
In geometry, a uniform 5-polytope is a five-dimensional uniform polytope.
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16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
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16-cell honeycomb
In four-dimensional Euclidean geometry, the 16-cell honeycomb is one of the three regular space-filling tessellations (or honeycombs) in Euclidean 4-space.
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24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
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24-cell honeycomb
In four-dimensional Euclidean geometry, the 24-cell honeycomb, or icositetrachoric honeycomb is a regular space-filling tessellation (or honeycomb) of 4-dimensional Euclidean space by regular 24-cells.
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5-cell honeycomb
In four-dimensional Euclidean geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb.
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5-cube
In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.
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5-cubic honeycomb
The 5-cubic honeycomb or penteractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 5-space.
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7-simplex honeycomb
In seven-dimensional Euclidean geometry, the 7-simplex honeycomb is a space-filling tessellation (or honeycomb).
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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-simplex honeycomb
In eighth-dimensional Euclidean geometry, the 8-simplex honeycomb is a space-filling tessellation (or honeycomb).
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Redirects here:
4-cube honeycomb, 4-cubic honeycomb, Order-4 tesseractic honeycomb, Stericated tesseractic honeycomb, Tesseractic tetracomb.
References
[1] https://en.wikipedia.org/wiki/Tesseractic_honeycomb
