symbol of the hexagonal tiling honeycomb is {6,3,3}. Since that of the hexagonal tiling is {6,3}, this honeycomb has three such hexagonal tilings meeting at...
21 KB (843 words) - 09:49, 9 January 2025
geometry, the alternated hexagonal tiling honeycomb, h{6,3,3}, or , is a semiregular tessellation with tetrahedron and triangular tiling cells arranged...
10 KB (473 words) - 18:45, 8 January 2025
uniform honeycomb in spherical space. The Schläfli symbol of the order-4 hexagonal tiling honeycomb is {6,3,4}. Since that of the hexagonal tiling is {6...
27 KB (976 words) - 19:49, 16 January 2025
one of three regular tilings of the plane. The other two are the triangular tiling and the square tiling. The hexagonal tiling has a structure consisting...
20 KB (1,603 words) - 22:05, 3 May 2025
the order-5 hexagonal tiling honeycomb is {6,3,5}. Since that of the hexagonal tiling is {6,3}, this honeycomb has five such hexagonal tilings meeting at...
23 KB (832 words) - 20:26, 9 January 2025
the hexagonal tiling honeycomb is {6,3,6}. Since that of the hexagonal tiling of the plane is {6,3}, this honeycomb has six such hexagonal tilings meeting...
24 KB (961 words) - 09:02, 4 September 2024
honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed of alternating...
33 KB (2,203 words) - 19:56, 14 April 2025
up of hexagonal prisms. It is constructed from a hexagonal tiling extruded into prisms. It is one of 28 convex uniform honeycombs. This honeycomb can be...
17 KB (920 words) - 03:59, 24 July 2024
the hexagonal tiling honeycomb, . It contains hexagonal tiling facets with a tetrahedral vertex figure. The bitruncated triangular tiling honeycomb, ,...
18 KB (701 words) - 02:03, 10 January 2025
cells. Twenty-eight such honeycombs are known: the familiar cubic honeycomb and 7 truncations thereof; the alternated cubic honeycomb and 4 truncations thereof;...
67 KB (2,193 words) - 13:34, 13 April 2025
Conway calls it a hexadeltille, combining alternate elements from a hexagonal tiling (hextille) and triangular tiling (deltille). Kagome (Japanese: 籠目) is...
16 KB (1,625 words) - 23:23, 26 February 2025
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...
14 KB (1,321 words) - 13:44, 6 May 2025
an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean...
16 KB (1,756 words) - 12:28, 2 April 2025
Hexagonal crystal system Hexagonal number Hexagonal tiling: a regular tiling of hexagons in a plane Hexagram: six-sided star within a regular hexagon...
31 KB (2,873 words) - 21:58, 3 May 2025
order-4 hexagonal tiling honeycomb all which have octahedral vertex figures: This honeycomb is a part of a sequence of polychora and honeycombs with dodecahedral...
15 KB (659 words) - 19:42, 16 January 2025
icosidodecahedron and hexagonal prism cells, with a phyllic disphenoid vertex figure. Centered on hexagonal prism The omnisnub icosahedral honeycomb, h(t0,1,2,3{3...
19 KB (716 words) - 23:01, 17 April 2025
geometry of hyperbolic 3-space, the order-4 square tiling honeycomb is one of 11 paracompact regular honeycombs. It is paracompact because it has infinite cells...
20 KB (845 words) - 15:01, 8 December 2024
Semiregular polytope (redirect from Semiregular honeycomb)
tiling honeycomb, ↔ Alternated order-4 hexagonal tiling honeycomb, ↔ Alternated order-5 hexagonal tiling honeycomb, ↔ Alternated order-6 hexagonal tiling honeycomb...
9 KB (633 words) - 03:30, 24 July 2024
120. The order-5 cubic honeycomb has a related alternated honeycomb, ↔ , with icosahedron and tetrahedron cells. The honeycomb is also one of four regular...
22 KB (844 words) - 19:43, 16 January 2025
Tessellation (redirect from Periodic tiling)
wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form...
58 KB (6,057 words) - 13:09, 22 April 2025
around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,81,1}, Coxeter...
25 KB (1,293 words) - 21:29, 20 August 2024
Rhombitrihexagonal tiling – 1 coloring, wythoffian Truncated trihexagonal tiling – 1 coloring, wythoffian Snub hexagonal tiling – 1 coloring, alternated wythoffian...
15 KB (953 words) - 18:19, 31 March 2025
around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,71,1}, Coxeter...
25 KB (1,299 words) - 21:29, 20 August 2024
The alternated square tiling honeycomb, h{4,4,3}, is a quasiregular paracompact uniform honeycomb in hyperbolic 3-space. It has cube and square tiling facets...
26 KB (898 words) - 19:50, 16 January 2025
order-5 hexagonal tiling honeycomb. The runcitruncated order-6 dodecahedral honeycomb, t0,1,3{5,3,6} has truncated dodecahedron, rhombitrihexagonal tiling, decagonal...
13 KB (598 words) - 16:34, 28 February 2025
square tilings existing around each edge and with an order-4 pentagonal tiling vertex figure. It a part of a sequence of regular polychora and honeycombs {p...
11 KB (544 words) - 21:29, 20 August 2024
regular tilings of the plane. The other two are the square tiling and the hexagonal tiling. There are 9 distinct uniform colorings of a triangular tiling. (Naming...
10 KB (858 words) - 14:08, 25 November 2024
different aperiodic tilings with 5-fold symmetry can be obtained by projecting two-dimensional slices of the honeycomb: the Penrose tiling composed of rhombi...
18 KB (1,090 words) - 20:07, 14 April 2025
square tilings existing around each edge and with an order-4 hexagonal tiling vertex figure. It a part of a sequence of regular polychora and honeycombs {p...
9 KB (478 words) - 21:29, 20 August 2024
bitruncated hexagonal tiling honeycomb. The runcitruncated order-6 tetrahedral honeycomb is equivalent to the runcicantellated hexagonal tiling honeycomb. The...
12 KB (605 words) - 23:13, 15 January 2025