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

of the order-7-3 hexagonal honeycomb is {6,7,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a heptagonal...

hyperbolic 3-space, the order-infinite-3 triangular honeycomb (or 3,∞,3 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli...

of the order-5-3 hexagonal honeycomb is {6,5,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a dodecahedron...

In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex...

with an order-5 pentagonal tiling vertex figure. In the geometry of hyperbolic 3-space, the order-5-6 hexagonal honeycomb (or 6,5,6 honeycomb) is a regular...

of the order-4-3 hexagonal honeycomb is {6,4,3}, with three order-4 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a cube...

parallelepiped) Hexagonal prismatic honeycomb Rhombic dodecahedral honeycomb Elongated dodecahedral honeycomb Bitruncated cubic honeycomb or truncated octahedra...

In the geometry of hyperbolic 3-space, the order-7 cubic honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol {4,3,7}...

the geometry of hyperbolic 3-space, the order-7 dodecahedral honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol {5...

C_{nv}} , [ n ] {\displaystyle [n]} , ( ∗ n n ) {\displaystyle (*nn)} , order 2 n {\displaystyle 2n} . The reflection domains can be shown by alternately...

its name from its visual resemblance to a bee's honeycomb – a hexagonal sheet structure. The hexagonal comb of the honey bee has been admired and wondered...

an envelope in the shape of a hexagonal prism. Six cells project onto rhombic prisms, which are laid out in the hexagonal prism in a way analogous to how...

graphene is a hexagonal grid. Assembled E-ELT mirror segments A beehive honeycomb The scutes of a turtle's carapace Saturn's hexagon, a hexagonal cloud pattern...

hosohedral honeycomb Hexagonal hosohedral honeycomb[citation needed] Order-2 square tiling honeycomb Order-2 triangular tiling honeycomb Order-2 hexagonal tiling...

In geometry, the hexagonal prism is a prism with hexagonal base. Prisms are polyhedrons; this polyhedron has 8 faces, 18 edges, and 12 vertices. Since...

alternated cubic honeycomb Hexagonal prismatic honeycomb Triangular prismatic honeycomb Triangular-hexagonal prismatic honeycomb Truncated hexagonal prismatic...

isoclinic rotation (as in the 24-cell's characteristic hexagonal rotation, and below in the hexagonal rotations of the 600-cell) this polygram is a hexagram:...

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

The cubic honeycomb or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells...

tesseract {4,3,3} and 120-cell {5,3,3} of Euclidean 4-space, and the hexagonal tiling honeycomb {6,3,3} of hyperbolic space. It is one of three {3,3,p} regular...

edges from each hexagonal great circle (retaining just one opposite pair of edges), so no continuous hexagonal great circles remain. Now 3 perpendicular...

uniform planar tilings List of regular polytopes Hexagonal tiling honeycomb, similar {6,3,3} honeycomb in H3. John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss...

The bitruncated cubic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of truncated octahedra (or, equivalently,...

tiling honeycomb, ↔ Alternated order-4 hexagonal tiling honeycomb, ↔ Alternated order-5 hexagonal tiling honeycomb, ↔ Alternated order-6 hexagonal tiling...

downwards. This form has a hexagonal cross-section and identical copies can be connected as a partial hexagonal honeycomb, but all vertices will not match...

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

In geometry, uniform honeycombs in hyperbolic space are tessellations of convex uniform polyhedron cells. In 3-dimensional hyperbolic space there are...

Mundi; he was possibly the first to explore and to explain the hexagonal structures of honeycomb and snowflakes. Some two hundred years later in 1891, the...

Hyperspherical 3-space honeycomb or 4-polytope = 0 {\displaystyle =0}  : Euclidean 3-space honeycomb < 0 {\displaystyle <0}  : Hyperbolic 3-space honeycomb These...