The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It...

honeycombs in hyperbolic space List of regular polytopes Tetrahedral-octahedral honeycomb - similar Euclidean honeycomb, Tetrahedral-cubic honeycomb Coxeter...

refer to: Tetrahedral-octahedral honeycomb - Uniform honeycomb with regular tetrahedral and octahedral cells Tetragonal disphenoid honeycomb - Uniform...

from two types of regular cells): The tetrahedral-octahedral honeycomb and gyrated tetrahedral-octahedral honeycombs are generated by 3 or 2 positions of...

of diamond, alum or fluorite are commonly octahedral, as the space-filling tetrahedral-octahedral honeycomb. The plates of kamacite alloy in octahedrite...

related to the cubic honeycomb, order-4 dodecahedral honeycomb, and order-4 hexagonal tiling honeycomb which all have octahedral vertex figures. It belongs...

the disphenoid tetrahedral honeycomb. Regular tetrahedra, however, cannot fill space by themselves. The tetrahedral-octahedral honeycomb fills space with...

arrangement produces the tetrahedral-octahedral honeycomb. The HCP arrangement produces the gyrated tetrahedral-octahedral honeycomb. If, instead, every sphere...

honeycomb (3D) and the 521 honeycomb (8D). Gosset honeycombs: Tetrahedral-octahedral honeycomb or alternated cubic honeycomb (Simple tetroctahedric check)...

cubic honeycomb Runcitruncated cubic honeycomb Omnitruncated cubic honeycomb Tetrahedral-octahedral honeycomb Truncated alternated cubic honeycomb Cantitruncated...

dodecahedral honeycomb which has all 12 faces as rhombi. It is a dual to the vertex-transitive gyrated tetrahedral-octahedral honeycomb. The rhombic pyramidal...

Order-4 octahedral honeycomb Triangular tiling honeycomb Square tiling honeycomb Order-4 square tiling honeycomb Order-6 tetrahedral honeycomb Order-6...

spherical space. Convex uniform honeycombs in hyperbolic space List of regular polytopes Hyperbolic tetrahedral-octahedral honeycomb Coxeter, Regular Polytopes...

array. Incidentally this structure forms one tetrahedral layer in the tetrahedral-octahedral honeycomb. There are exactly 50 "egg crate" recesses and...

example, [3,3] is the Coxeter group for reflective tetrahedral symmetry, [3,4] is reflective octahedral symmetry, and [3,5] is reflective icosahedral symmetry...

is one of 28 convex uniform honeycombs. This honeycomb can be alternated into the gyrated tetrahedral-octahedral honeycomb, with pairs of tetrahedra existing...

Tetrahedral-octahedral honeycomb "Alexander Graham Bell". Archived from the original on 2003-03-26. Alexander Graham Bell (June 1903). "Tetrahedral Principle...

3D Simplex uses the tetragonal disphenoid honeycomb, 3D OpenSimplex uses the tetrahedral-octahedral honeycomb. OpenSimplex noise uses a larger kernel size...

shown with one colored tetrahedral and truncated tetrahedral cells. This honeycomb is one of five distinct uniform honeycombs constructed by the A ~ 3...

dimensions it represents the tetrahedral-octahedral honeycomb, with Coxeter graph filling space with alternately tetrahedral and octahedral cells. In 4 dimensions...

although a tiling that combines tetrahedra and octahedra (the tetrahedral-octahedral honeycomb) is possible. Although the regular tetrahedron cannot fill...

hyperbolic 3-space, the order-6 tetrahedral honeycomb is a paracompact regular space-filling tessellation (or honeycomb). It is paracompact because it...

The tetragonal disphenoid tetrahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of identical tetragonal disphenoidal...

honeycombs with octahedral vertex figures. It in a sequence of regular polytopes and honeycombs with cubic cells. The cubic honeycomb has a lower symmetry...

decomposed into square pyramids.) This honeycomb can be considered an elongated version of the tetrahedral-octahedral honeycomb. Critchlow, Keith. Order in Space:...

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}...

tessellation of space with tetrahedra, similar to a modified tetrahedral-octahedral honeycomb. Elongated square bipyramid Rajwade, A. R. (2001). Convex Polyhedra...

meeting at a central point. This dissection is expressed in the tetrahedral-octahedral honeycomb where pairs of square pyramids are combined into octahedra...

(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...

section of a tetrahedral-octahedral honeycomb. The elongated octahedron can thus be used with the tetrahedron as a space-filling honeycomb. Orthobifastigium...