The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It...
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honeycombs in hyperbolic space List of regular polytopes Tetrahedral-octahedral honeycomb - similar Euclidean honeycomb, Tetrahedral-cubic honeycomb Coxeter...
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refer to: Tetrahedral-octahedral honeycomb - Uniform honeycomb with regular tetrahedral and octahedral cells Tetragonal disphenoid honeycomb - Uniform...
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from two types of regular cells): The tetrahedral-octahedral honeycomb and gyrated tetrahedral-octahedral honeycombs are generated by 3 or 2 positions of...
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Octahedron (redirect from Octahedral)
of diamond, alum or fluorite are commonly octahedral, as the space-filling tetrahedral-octahedral honeycomb. The plates of kamacite alloy in octahedrite...
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16-cell (redirect from Order-4 tetrahedral honeycomb)
related to the cubic honeycomb, order-4 dodecahedral honeycomb, and order-4 hexagonal tiling honeycomb which all have octahedral vertex figures. It belongs...
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arrangement produces the tetrahedral-octahedral honeycomb. The HCP arrangement produces the gyrated tetrahedral-octahedral honeycomb. If, instead, every sphere...
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Tetrahedron (redirect from Tetrahedral)
which can fill the space, see Hilbert's third problem). The tetrahedral-octahedral honeycomb fills space with alternating regular tetrahedron cells and...
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dodecahedral honeycomb which has all 12 faces as rhombi. It is a dual to the vertex-transitive gyrated tetrahedral-octahedral honeycomb. The rhombic pyramidal...
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Semiregular polytope (redirect from Semiregular honeycomb)
honeycomb (3D) and the 521 honeycomb (8D). Gosset honeycombs: Tetrahedral-octahedral honeycomb or alternated cubic honeycomb (Simple tetroctahedric check)...
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spherical space. Convex uniform honeycombs in hyperbolic space List of regular polytopes Hyperbolic tetrahedral-octahedral honeycomb Coxeter, Regular Polytopes...
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List of mathematical shapes (section Honeycombs)
Order-4 octahedral honeycomb Triangular tiling honeycomb Square tiling honeycomb Order-4 square tiling honeycomb Order-6 tetrahedral honeycomb Order-6...
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cubic honeycomb Runcitruncated cubic honeycomb Omnitruncated cubic honeycomb Tetrahedral-octahedral honeycomb Truncated alternated cubic honeycomb Cantitruncated...
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Schläfli symbol (section Polychora and honeycombs)
example, [3,3] is the Coxeter group for reflective tetrahedral symmetry, [3,4] is reflective octahedral symmetry, and [3,5] is reflective icosahedral symmetry...
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Space frame (redirect from Tetrahedral truss)
Tetrahedral-octahedral honeycomb "Alexander Graham Bell". Archived from the original on 2003-03-26. Alexander Graham Bell (June 1903). "Tetrahedral Principle...
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600-cell (redirect from Order-5 tetrahedral honeycomb)
array. Incidentally this structure forms one tetrahedral layer in the tetrahedral-octahedral honeycomb. There are exactly 50 "egg crate" recesses and...
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3D Simplex uses the tetragonal disphenoid honeycomb, 3D OpenSimplex uses the tetrahedral-octahedral honeycomb. OpenSimplex noise uses a larger kernel size...
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shown with one colored tetrahedral and truncated tetrahedral cells. This honeycomb is one of five distinct uniform honeycombs constructed by the A ~ 3...
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dimensions it represents the tetrahedral-octahedral honeycomb, with Coxeter graph filling space with alternately tetrahedral and octahedral cells. In 4 dimensions...
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hyperbolic 3-space, the order-6 tetrahedral honeycomb is a paracompact regular space-filling tessellation (or honeycomb). It is paracompact because it...
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although a tiling that combines tetrahedra and octahedra (the tetrahedral-octahedral honeycomb) is possible. Although the regular tetrahedron cannot fill...
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is one of 28 convex uniform honeycombs. This honeycomb can be alternated into the gyrated tetrahedral-octahedral honeycomb, with pairs of tetrahedra existing...
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Elongated octahedron (redirect from Octahedral wedge)
section of a tetrahedral-octahedral honeycomb. The elongated octahedron can thus be used with the tetrahedron as a space-filling honeycomb. Orthobifastigium...
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The tetragonal disphenoid tetrahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of identical tetragonal disphenoidal...
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honeycombs with octahedral vertex figures. It in a sequence of regular polytopes and honeycombs with cubic cells. The cubic honeycomb has a lower symmetry...
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Tesseract (redirect from Tetrahedral trapezohedron)
4-polytopes and honeycombs, {p,3,3} with tetrahedral vertex figures, {3,3}. The tesseract is also in a sequence of regular 4-polytope and honeycombs, {4,3,p}...
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Elongated square bipyramid (redirect from Elongated square bipyramid honeycombs)
decomposed into square pyramids.) This honeycomb can be considered an elongated version of the tetrahedral-octahedral honeycomb. Critchlow, Keith. Order in Space:...
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tessellation of space with tetrahedra, similar to a modified tetrahedral-octahedral honeycomb. Elongated square bipyramid Rajwade, A. R. (2001). Convex Polyhedra...
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Uniform 4-polytope (redirect from Truncated octahedral prism)
completes his Ph.D. dissertation The Theory of Uniform Polytopes and Honeycombs under advisor Coxeter, completes the basic theory of uniform polytopes...
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(order-4) truncated cubic honeycomb, t{4,3,4}, which has octahedral cells at the truncated vertices. The bitruncated order-5 cubic honeycomb is the same as the...
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