The techniques and tools for tiling is advanced, evidenced by the fine workmanship and close fit of the tiles. Such tiling can be seen in Ruwanwelisaya...

Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is...

A self-tiling tile set, or setiset, of order n is a set of n shapes or pieces, usually planar, each of which can be tiled with smaller replicas of the...

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...

program is trivially self-reproducing. In geometry a self-replicating tiling is a tiling pattern in which several congruent tiles may be joined together...

hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic...

of this is the so-called mathematical tile, which was hung on laths, nailed and then grouted. This form of tiling gives an imitation of brickwork and was...

that if a finite set of Wang tiles can tile the plane, then there also exists a periodic tiling, which, mathematically, is a tiling that is invariant...

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...

colorings of the 11 uniform tilings: Triangular tiling – 9 uniform colorings, 4 wythoffian, 5 nonwythoffian           Square tiling – 9 colorings: 7 wythoffian...

triangular tiling). A tiling can also be self-dual. The square tiling, with Schläfli symbol {4,4}, is self-dual; shown here are two square tilings (red and...

robust, self-supporting arches and architectural vaults using interlocking terracotta tiles and layers of mortar to form a thin skin, with the tiles following...

The self-dual (infinite) regular hyperbolic honeycombs are: Compact hyperbolic tilings: {5,5}, {6,6}, ... {p,p}. Paracompact hyperbolic tiling: {∞,∞}...

Girih tiles are a set of five tiles that were used in the creation of Islamic geometric patterns using strapwork (girih) for decoration of buildings in...

so-called self-tiling tile set. Such a set is defined as any set of n distinct shapes, each of which can be tiled by smaller replicas of the complete set of...

ceramic tile, glass tiles, and natural stone products. Ceramic tiles are clay products that are formed into thin tiles and fired. Ceramic tiles are set in...

Scientific American. In 2012 Sallows invented and named self-tiling tile sets—a new generalization of rep-tiles. In 2014 Sallows discovered a previously unnoticed...

Euclidean 3-space) 1 p + 1 q = 1 2 : Euclidean plane tiling 1 p + 1 q < 1 2 : Hyperbolic plane tiling {\displaystyle {\begin{aligned}&{\frac {1}{p}}+{\frac...

to prove that the complete set of decominoes cannot be packed into a rectangle, and that not all decominoes can be tiled. The 4,460 decominos without...

{4,4,4}, it has four square tilings around each edge, and infinite square tilings around each vertex in a square tiling vertex figure. A geometric honeycomb...

receiving 13 tiles. In turn, players draw and discard tiles until they complete a legal hand using the 14th drawn tile to form four melds (or sets) and a pair...

effectively all pieces need to be self-drawn since melds are not useful to these hands Thirteen Orphans + any tile in the set - also known in English as thirteen...

variation features a unique set of rules such as riichi and the use of dora. The variant is one of a few styles where discarded tiles are ordered rather than...

player's tiles, jokers, and "Hands and Rules" score cards. It has several distinct gameplay mechanics such as "The Charleston", which is a set of required...

One of them is a tiling by a right kite, with 60°, 90°, and 120° angles. It produces the deltoidal trihexagonal tiling (see § Tilings and polyhedra). A...

Based on these self-similarities, many of its lengths are simple rational numbers. The dragon curve can tile the plane. One possible tiling replaces each...

1+ tile pointers. To calculate the number of tiles for x direction: 1 + (pictureWidth − 1)/tileWidth and y direction: 1 + (pictureHeight − 1)/tileHeight...

Each tile supports 10 TB/sec of on-tile bandwidth. Each tile has 11 GB of SRAM memory (25 D1 chips × 360 cores/D1 × 1.25 MB/core). Each tile achieves...

this way are based on tessellations, tiling the plane with a unit cell and leaving no gaps. Because the tiling makes use of translation and rotation...

TecTiles are a near field communication (NFC) application, developed by Samsung, for use with mobile smartphone devices. Each TecTile is a low-cost self-adhesive...