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

geometry of hyperbolic 3-space, the order-7 tetrahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,3,7}. It...

tetrahedrons, between 2 square tilings. Order-6 triangular hosohedral honeycomb Order-7 tetrahedral honeycomb List of regular polytopes The Beauty of...

5}, and the order-6 tetrahedral honeycomb {3,3,6} of hyperbolic space. It is first in a sequence of quasiregular polytopes and honeycombs h{4,p,q}, and...

forms. Wikimedia Commons has media related to Order-7 triangular tiling. Order-7 tetrahedral honeycomb List of regular polytopes List of uniform planar...

triangular prisms, within a triangular prismatic honeycomb, . Order-7 tetrahedral honeycomb List of regular polytopes The Beauty of Geometry: Twelve Essays...

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}...

of Euclidean 4-space, and the order-6 tetrahedral honeycomb {3,3,6} of hyperbolic space. All of these have tetrahedral cells. This 4-polytope is a part...

include: The triangular prismatic honeycomb The gyrated triangular prismatic honeycomb The triakis truncated tetrahedral honeycomb. The Voronoi cells of the carbon...

paracompact uniform honeycombs generated from tetrahedral fundamental domains (rank 4 paracompact coxeter groups). The honeycombs are indexed here for...

and honeycombs with {p,4,3} Schläfli symbol, and tetrahedral vertex figures: In the geometry of hyperbolic 3-space, the order-4-3 hexagonal honeycomb or...

regular 4-polytopes with tetrahedral cells, along with the 16-cell {3,3,4} and 600-cell {3,3,5}. The order-6 tetrahedral honeycomb {3,3,6} of hyperbolic...

hyperbolic 3-space, the order-3-7 hexagonal honeycomb or (6,3,7 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli symbol {6...

honeycomb, ↔ Alternated square tiling honeycomb, ↔ (Also quasiregular) Cubic-square tiling honeycomb, Order-4 square tiling honeycomb, = Tetrahedral-triangular...

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

tetrahedron in the directly congruent sense, as in the disphenoid tetrahedral honeycomb. Regular tetrahedra, however, cannot fill space by themselves (moreover...

constructionally related to prismatic uniform honeycombs by truncation operations. They are higher-dimensional analogues of the order-2 apeirogonal tiling and apeirogonal...

cells. Twenty-eight such honeycombs are known: the familiar cubic honeycomb and 7 truncations thereof; the alternated cubic honeycomb and 4 truncations thereof;...

its dual called an oblate tetrahedrille, also called a disphenoid tetrahedral honeycomb. Although a regular tetrahedron can not tessellate space alone,...

complete set of hyperbolic uniform honeycombs. More unsolved problems in mathematics In hyperbolic geometry, a uniform honeycomb in hyperbolic space is a uniform...

In geometry, a tetrahedral prism is a convex uniform 4-polytope. This 4-polytope has 6 polyhedral cells: 2 tetrahedra connected by 4 triangular prisms...

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

its dual called an oblate tetrahedrille, also called a disphenoid tetrahedral honeycomb. Although a regular tetrahedron can not tessellate space alone,...

tessellate in three-dimensional space known as honeycomb; an example is triakis truncated tetrahedral honeycomb. A truncated triakis tetrahedron is known for...

crystal form in pyrite, has pyritohedral symmetry, while the tetartoid has tetrahedral symmetry. The rhombic dodecahedron can be seen as a limiting case of...

honeycomb is the alternated order-5 cubic honeycomb, h{4,3,5}, Coxeter diagrams: = , composed of alternating tetrahedral and icosahedral cells. Its vertex...

single 24-cell or the 24-cell honeycomb. The 24-cell is the fourth in the sequence of six convex regular 4-polytopes (in order of size and complexity). It...

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

geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells...

respectively the order-6 tetrahedral honeycomb, order-6 cubic honeycomb, order-4 octahedral honeycomb, and order-6 dodecahedral honeycomb; here the order refers...