hexagonal tiling honeycomb, . It contains hexagonal tiling facets with a tetrahedral vertex figure. The bitruncated triangular tiling honeycomb, , has truncated...

hyperbolic 3-space, the tetrahedral-triangular tiling honeycomb is a paracompact uniform honeycomb, constructed from triangular tiling, tetrahedron, and octahedron...

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

of regular polychora and honeycombs with tetrahedral cells. It is also part of a sequence of honeycombs with triangular tiling vertex figures. The rectified...

hexagonal tiling cells: The rectified hexagonal tiling honeycomb, t1{6,3,3}, has tetrahedral and trihexagonal tiling facets, with a triangular prism vertex...

entirely of triangular prisms. It is constructed from a triangular tiling extruded into prisms. It is one of 28 convex uniform honeycombs. It consists...

tiling or tessellation in any number of dimensions. Its dimension can be clarified as n-honeycomb for a honeycomb of n-dimensional space. Honeycombs are...

There are only 3 unique honeycombs from the square tiling, but all 6 tiling truncations are listed below for completeness, and tiling images are shown by...

icosidodecahedron facets, with a triangular prism vertex figure. The runcic order-5 hexagonal tiling honeycomb, h3{6,3,5}, ↔ , has triangular tiling, rhombicosidodecahedron...

an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean...

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

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

an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean...

 45, Table 2: Reflexible honeycombs and their groups; Honeycomb [3,3,4]4 is a tiling of the 3-sphere by 2 rings of 8 tetrahedral cells. Banchoff 2013. Coxeter...

3-space, the tetrahedral-square tiling honeycomb is a paracompact uniform honeycomb, constructed from tetrahedron, cuboctahedron and square tiling cells, in...

an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean...

different aperiodic tilings with 5-fold symmetry can be obtained by projecting two-dimensional slices of the honeycomb: the Penrose tiling composed of rhombi...

that can tile space as the tetrahedral-octahedral honeycomb. On otherhand, several irregular tetrahedra are known, of which copies can tile space, for...

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

space with alternately tetrahedral and truncated tetrahedral cells. In 4-dimensions it is called a cyclotruncated 5-cell honeycomb, with Coxeter graph ...

vertex in an order-7 triangular tiling vertex arrangement. It is a part of a sequence of regular polychora and honeycombs with tetrahedral cells, {3,3,p}....

hexagonal tilings existing around each edge and with an order-7 triangular tiling vertex figure. It a part of a sequence of regular polychora and honeycombs with...

is a degenerate honeycomb in Euclidean space, but can be seen as a projection onto the sphere. Its vertex figure, a triangular tiling is seen on each...

with mirror images, the result is a compact honeycomb containing the small rhombicuboctahedra and the triangular prisms. Two more such constructions were...

called bihedra, flat polyhedra, or doubly covered polygons. As a spherical tiling, a dihedron can exist as nondegenerate form, with two n-sided faces covering...

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

from "tetrahedral complex") and a polytetrahedron, being bounded by tetrahedral cells. The 600-cell's boundary is composed of 600 tetrahedral cells with...

the order-7 triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,7}. The symmetry group of the tiling is the (2,3...

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

tessellation: the tiling of regular hexagons, the rectified cubic honeycomb (of alternating cuboctahedra and octahedra), the 24-cell honeycomb and the tesseractic...