In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex...
10 KB (700 words) - 21:55, 12 December 2023
Euclidean 3-space. It is composed entirely of triangular prisms. It is constructed from a triangular tiling extruded into prisms. It is one of 28 convex...
15 KB (921 words) - 16:16, 13 July 2025
trihexagonal tiling – 1 coloring, wythoffian Snub hexagonal tiling – 1 coloring, alternated wythoffian Elongated triangular tiling – 1 coloring,...
15 KB (953 words) - 18:19, 31 March 2025
heptagons. The Cairo pentagonal tiling is dual to the snub square tiling. This tiling is related to the elongated triangular tiling which also has 3 triangles...
8 KB (595 words) - 15:14, 10 July 2025
these two prismatic tilings constructs one non-Wythoffian uniform tiling of the plane. It is called the elongated triangular tiling, composed of alternating...
44 KB (1,971 words) - 00:21, 16 April 2025
List of mathematical shapes (section Euclidean tilings)
icosahedron Square tiling Triangular tiling Hexagonal tiling Apeirogon Dihedron Lobachevski plane Hyperbolic tiling Order-7 heptagrammic tiling Heptagrammic-order...
46 KB (3,545 words) - 22:21, 19 July 2025
that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed...
33 KB (2,203 words) - 11:30, 14 July 2025
Examples of group p3m1 Triangular tiling (ignoring colors: p6m) Hexagonal tiling (ignoring colors: p6m) Truncated hexagonal tiling (ignoring colors: p6m)...
65 KB (6,493 words) - 17:23, 27 July 2025
2-uniform tilings, and the triangular tiling: The hexagonal tiling can be considered an elongated rhombic tiling, where each vertex of the rhombic tiling is...
20 KB (1,603 words) - 12:46, 27 July 2025
uniform tilings Uniform tilings in hyperbolic plane Archimedean tiling Square tiling Triangular tiling Hexagonal tiling Truncated square tiling Snub square...
30 KB (2,692 words) - 15:23, 9 February 2025
Octahedron (redirect from Order-4 triangular tiling)
octahedron all of whose faces are quadrilaterals. Triangular bifrustum: The dual of an elongated triangular bipyramid (a Johnson solid), this can be realized...
13 KB (1,273 words) - 14:28, 26 July 2025
In geometry of the Euclidean plane, a 33344-33434 tiling is one of two of 20 2-uniform tilings of the Euclidean plane by regular polygons. They contains...
7 KB (531 words) - 04:44, 22 January 2025
12; (3.122)3] tiling has a snub square lattice, and the 5(3-1-1)-uniform [334.12; 343.12; (3.12.12)3] tiling has an elongated triangular lattice. These...
32 KB (2,009 words) - 01:08, 16 April 2025
topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kinds of tiles. Each chapter...
21 KB (1,465 words) - 14:30, 4 January 2025
In geometry, the elongated square bipyramid (or elongated octahedron) is the polyhedron constructed by attaching two equilateral square pyramids onto a...
9 KB (996 words) - 14:09, 2 March 2025
Hexagon (section Related polygons and tilings)
Euclidean space Hexagonal crystal system Hexagonal number Hexagonal tiling: a regular tiling of hexagons in a plane Hexagram: six-sided star within a regular...
31 KB (2,873 words) - 12:40, 27 July 2025
shape necessarily forms the prototile for a tiling of the plane, in many cases an aperiodic tiling. A rep-tile dissection using different sizes of the original...
16 KB (1,638 words) - 01:40, 14 May 2025
Truncation (geometry) (redirect from Truncated tiling)
uniform truncation performed on the regular triangular tiling {3,6} results in the regular hexagonal tiling {6,3}. A truncated n-sided polygon will have...
13 KB (1,046 words) - 20:21, 23 June 2025
unique honeycombs from the square tiling, but all 6 tiling truncations are listed below for completeness, and tiling images are shown by colors corresponding...
67 KB (2,193 words) - 01:09, 22 July 2025
polyhedron or plane tiling. It is often referred to as Wythoff's kaleidoscopic construction. The method is based on the idea of tiling a sphere, with spherical...
6 KB (552 words) - 02:51, 7 May 2025
Tetrahedron (redirect from Order-3 triangular tiling)
four triangular pyramids attached to each of its faces. i.e., its Kleetope. Some Johnson solid such as elongated triangular pyramid and elongated triangular...
79 KB (9,727 words) - 18:15, 26 July 2025
that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Its dimension can be clarified...
14 KB (1,321 words) - 13:44, 6 May 2025
cases use 4.4.4.4 vertex figures of the square tiling, 3.3.3.3.3.3 vertex figure of the triangular tiling, as well as 60 degree rhombi divided double equilateral...
7 KB (327 words) - 14:02, 18 March 2025
Gyrobifastigium (redirect from Schmitt–Conway–Danzer tile)
attaching a triangular prism to square face of another one. It is an example of a Johnson solid. It is the only Johnson solid that can tile three-dimensional...
8 KB (791 words) - 01:06, 19 June 2025
Trapezo-rhombic dodecahedron (redirect from Triangular-rhombic dodecahedron)
translated copies of this cell. Each "layer" is a hexagonal tiling, or a rhombille tiling, and alternate layers are connected by shifting their centers...
5 KB (522 words) - 10:54, 14 January 2025
rhombic dodecahedron, elongated dodecahedron, and truncated octahedron. The triangular prism, the prototile of the triangular prismatic honeycomb. More...
11 KB (1,288 words) - 20:04, 3 July 2025
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
List of tessellations (redirect from List of tilings)
tessellations. Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic plane...
15 KB (26 words) - 06:45, 10 January 2025
wear and is rust-free. These include: Bricklayer's trowel has an elongated triangular-shaped flat metal blade, used by masons for leveling, spreading,...
6 KB (734 words) - 22:17, 3 May 2025
isogonal elongated skew apeirogons have vertical mirror symmetry in the midpoints of the edges parallel to the Frieze direction: An isogonal elongated skew...
8 KB (685 words) - 08:01, 6 July 2022