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Square tiles with a color on each edge
has media related to Wang tiles. Wang tiles (or Wang dominoes), first proposed by mathematician, logician, and philosopher Hao Wang in 1961, is a class
Wang_tile
Non-periodic tiling of the plane
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
Penrose_tiling
Covering by shapes without overlaps or gaps
the problem of deciding whether a Wang domino set can tile the plane is also undecidable. Truchet tiles are square tiles decorated with patterns so they
Tessellation
Chinese-American professor (1921–1995)
uses a set of Wang tiles to tile the plane. The first noted example of aperiodic tiling is a set of Wang tiles, whose nonexistence Wang had once conjectured
Hao_Wang_(academic)
Form of plane tiling without repeats at scale
non-periodic tiling is a tiling that does not have any translational symmetry. An aperiodic set of prototiles is a set of tile-types that can tile, but only
Aperiodic_tiling
Square tiles used in graphic design
poem". Wikimedia Commons has media related to Truchet tiles. Girih tile Wallpaper group Wang tile Browne, Cameron (2008), "Truchet curves and surfaces"
Truchet_tiling
the tiles). A tiling is considered periodic if there exist translations in two independent directions which map the tiling onto itself. Such a tiling is
List of aperiodic sets of tiles
List_of_aperiodic_sets_of_tiles
Topics referred to by the same term
sign since 2018 Wang (Tibetan Buddhism), a form of empowerment or initiation Wang tile, in mathematics, are a class of formal systems Wang (musical), an
Wang
Mathematics book
topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kinds of tiles. Each chapter
Tilings_and_patterns
Set of tile shapes that can create nonrepeating patterns
prototiles admits a tiling of the plane. Wang found algorithms to enumerate the tilesets that cannot tile the plane, and the tilesets that tile it periodically;
Aperiodic_set_of_prototiles
Regular tiling of a two-dimensional space
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
Hexagonal_tiling
Tiling of the hyperbolic plane
In geometry, a binary tiling (sometimes called a Böröczky tiling) is a tiling of the hyperbolic plane, resembling a quadtree over the Poincaré half-plane
Binary_tiling
Finnish mathematician and computer scientist
and computer scientist, known for his contributions to the theory of Wang tiles and cellular automata. Kari is currently a professor at the Department
Jarkko_Kari
Chinese tile-based game
Mahjong is a tile-based game for three to four players. Though regional variations may exclude certain tiles or add unique ones, it is typically played
Mahjong
Tiling puzzle
extended to tiles with permutations of 4 colors, arranged in 10×7. In either case, the squares are a subset of the Wang tiles, reducing tiles that are similar
Edge-matching_puzzle
1995 short story by Greg Egan
lines of polysaccharides and that they are resembling Wang tiles. According to a theorem by Hao Wang, any Turing machine can be described this way with new
Wang's_Carpets
Overview of and topical guide to geometry
Sangaku Straightedge Symmedian Tessellation Prototile Aperiodic tiling Wang tile Penrose tiling Trapezoid (trapezium) Isosceles trapezoid Triangle Acute and
Outline_of_geometry
Geometric shape formed from squares
of Wang tiles to sets of polyominoes. Because the general problem of tiling regions of the plane with sets of polyominoes is NP-complete, tiling with
Polyomino
Chinese and American pianist (born 1987)
Yuja Wang (Chinese: 王羽佳; pinyin: Wáng Yǔjiā; born February 10, 1987) is a Chinese and American pianist. She began learning piano at the age of six, and
Yuja_Wang
Mechanical puzzle created by Erno Rubik
eight black square tiles (changed to red squares with goldish rings in 1997) arranged in a 2 × 4 rectangle; diagonal grooves on the tiles hold wires that
Rubik's_Magic
Tiling of a plane by regular hexagons and equilateral triangles
In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons. It consists of equilateral triangles and
Trihexagonal_tiling
Puzzle published in 1921 by Percy MacMahon
Nelson Puzzle, the Wang Tile, and TetraVex. The commercial board game Trioker, patented in 1969 by Marc Odier, uses triangular tiles first proposed by
MacMahon_Squares
Tiling of the plane by pentagons
can tile the plane. Their tilings have varying symmetries; all are face-symmetric. One particular form of the tiling, dual to the snub square tiling, has
Cairo_pentagonal_tiling
Discrete model of computation
automaton is reversible. The proof by Jarkko Kari is related to the tiling problem by Wang tiles. When a 2D automata is not reversible, often the proof can be
Cellular_automaton
Descartes (1644), Lejeune Dirichlet (1850) and Snow (1854). Wang tiles were hypothesized by Hao Wang not to exist, but an example was constructed by his student
List of examples of Stigler's law
List_of_examples_of_Stigler's_law
Computational problems no algorithm can solve
determining if a given set of Wang tiles can tile the plane. The problem of determining if a given set of polyominoes can tile the plane. The problem of determining
List_of_undecidable_problems
Ordered chemical structure with no repeating pattern
that tiles periodically). Nevertheless, two years later, his student Robert Berger constructed a set of some 20,000 square tiles (now called Wang tiles) that
Quasicrystal
Australian science fiction author and mathematician
chapters in one narrative thread. Wang refers to the mathematician Hao Wang – the carpets are living embodiments of Wang tiles. This story, minorly reworked
Greg_Egan
Decidable language Undecidable language Word problem for groups Wang tile Penrose tiling Computable number Definable number Halting probability Algorithmic
List of computability and complexity topics
List_of_computability_and_complexity_topics
obtained via the Lemke–Howson algorithm. The Corridor Tiling Problem: given a set of Wang tiles, a chosen tile T 0 {\displaystyle T_{0}} and a width n {\displaystyle
List of PSPACE-complete problems
List_of_PSPACE-complete_problems
Edge-matching puzzle
game from the Microsoft Entertainment Pack, shown to be NP-complete. Wang tiles "Investegate |TOMY Announcements | TOMY: Eternity II Global Launch at
Eternity_II_puzzle
Non-periodic tiling of the plane
and coverings. In 1987 Wang, Chen and Kuo announced the discovery of a quasicrystal with octagonal symmetry. Ammann's A and B tiles in his pair A5 are a
Ammann–Beenker_tiling
Design and manufacture of artificial nucleic acid structures
in Nanotechnology. Winfree's key insight was that the DX tiles could be used as Wang tiles, meaning that their assembly could perform computation. The
DNA_nanotechnology
Cellular automaton that can be run backwards
undecidability of tiling the plane by Wang tiles, sets of square tiles with markings on their edges that constrain which pairs of tiles can fit edge-to-edge
Reversible_cellular_automaton
Complexity class
problems. Examples of co-RE-complete problems: The domino problem for Wang tiles. The satisfiability problem for first-order logic. Knuth–Bendix completion
RE_(complexity)
Computing using molecular biology hardware
of DNA computing. DNA tiles can be designed to contain multiple sticky ends with sequences chosen so that they act as Wang tiles. A DX array has been demonstrated
DNA_computing
2025 apartment fire in Tai Po, Hong Kong
On 26 November 2025, a large fire broke out at the Wang Fuk Court apartment complex in Tai Po District, New Territories, Hong Kong, and burned for 44 hours
Wang_Fuk_Court_fire
Historic building complex in Lingshi County, Shanxi, China
89611; 111.86778 The Wang Family Compound (also variously called the Wang Family Grand Courtyard, Wang Family Mansion, or Wang Family Manor) is the largest
Wang_Family_Compound
American rapper and producer (born 1991)
sales of his career. Beyond music, Tyler founded the clothing brands Golf Wang and Le Fleur, and has collaborated with Lacoste, Converse, and Louis Vuitton
Tyler,_the_Creator
American mathematician (born 1938)
discovering the first aperiodic tiling using a set of 20,426 distinct tile shapes. The unexpected existence of aperiodic tilings, although not Berger's explicit
Robert_Berger_(mathematician)
Geometry problem on tiling by hypercubes
In geometry, Keller's conjecture is the conjecture that in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes
Keller's_conjecture
Paifang and sculpture in Portland, Oregon, U.S.
neighborhood. It is 38 feet (12 m) tall and made of bronze, marble, granite, wood, tile and steel. The gate features depictions of 78 dragons and 58 mythical characters
Chinatown_Gateway
Chinese accident victim
Wang Yue (Chinese: 王悦; pinyin: Wáng Yuè), also known as "Little Yue Yue" (Chinese: 小悅悅), was a two-year-old Chinese girl who was run over by a van driver
Death_of_Wang_Yue
Adjacent characters (tokens) merge-based compression algorithm
language processing techniques. Packt Publishing Ltd. ISBN 978-1-80107-889-4. Wang, Changhan; Cho, Kyunghyun (2020-04-03). "Neural Machine Translation with
Byte-pair_encoding
Social media platform owned by Meta
the top of profile pages, which simultaneously slide-showed seven picture tiles of pictures posted by the user, alternating at different times in a random
Line of virtual reality headsets
price Oculus Quest Qualcomm Snapdragon 835 4 GB LPDDR4X 64 GB, 128 GB PenTile OLED 1440 × 1600 per eye @ 72 Hz Adreno 540 @ 670 MHz (up to 343 GFLOPS)
Meta_Quest
Chinese novel set in Shanghai
fascinated by this rose-like woman. He picks up her stray hairs from the floor tiles and twists them together, "stuff[ing] it into his pocket. His hand stayed
Red Rose, White Rose (novella)
Red_Rose,_White_Rose_(novella)
American mathematician (1921–2006)
Ammann–Beenker tiling. In 1987 Wang, Chen and Kuo announced the discovery of a quasicrystal with octagonal symmetry. The decagonal covering of the Penrose tiling was
Robert_Ammann
Country in East Asia
March 2026. Retrieved 20 June 2026. Wang 2023, pp. 110–113. Lo 2025, p. 13. Jin 2023, p. 23. Wang 2023, p. 8. Wang 2023, p. 166. Wilkinson 2012, p. 467
China
Symbol of Chinese mythology
mural depiction at the Goguryeo tombs. Depiction of the Azure Dragon on a tile. The Azure Dragon by a fountain in Kiyomizu Temple, Kyoto. Chinese dragon
Azure_Dragon
Chinese architect
ArchDaily, May 13, 2015 "Wang Shu and Lu Wenyu", The Royal Academy of Arts, July 2016 "Material Masters: The Traditional Tiles of Wang Shu & Lu Wenyu", Evan
Lu_Wenyu
Volume rendering technique
loss and D-SSIM, inspired by the Plenoxels work. Rasterizer: Implementing a tile-based rasterizer for fast sorting and backward pass, enabling efficient blending
Gaussian_splatting
Tile-based rummy game, similar to mahjong
chén májiàng) is a tile-based game similar to mahjong and rummy in which four players compete to form their own winning hand of 21 tiles using melds of two-
Digging_Flowers
2023 turn-based tactical video game
status to an existing ice tile, allowing the player to create additional status effects that apply to units occupying the tiles. The combat ability of T-Dolls
Girls'_Frontline_2:_Exilium
goldcountrymedia.com. Retrieved April 16, 2025. "Committee adds five more engraved tiles". goldmountaincanews.com. Retrieved March 9, 2026. "History of the Placer
List of first women lawyers and judges in California
List_of_first_women_lawyers_and_judges_in_California
December 2014. Retrieved 18 December 2014. "Zodiac Holdings Limited". En.nic.wang. Archived from the original on 21 October 2014. Retrieved 21 October 2014
List of English-language generic Internet top-level domains
List_of_English-language_generic_Internet_top-level_domains
in-ground swimming pool. Anderson's plans go awry when he cannot find the tiles he needs and is left behind in the store after it closes as his car is towed
List of Beavis and Butt-Head episodes
List_of_Beavis_and_Butt-Head_episodes
Chinese architect
Wang Shu (Chinese: 王澍, born 4 November 1963) is a Chinese architect based in Hangzhou, Zhejiang Province. He is the dean of the School of Architecture
Wang_Shu
Chinese actor and model (born 1999)
Lin Yi starred in the web series The Blessed Girl and Memory of Encaustic Tile. On October 1, 2020, the song "My Motherland", a tribute to the 71st anniversary
Lin_Yi
Museum in Ningbo, Zhejiang, China
of mountains, water and oceans. design through decorations made from old tiles and bamboo.The Eastern China Sea and the Siming mountains surround the Museum
Ningbo_Museum
Monoclonal antibody
Dahir, Kathryn M.; Botman, Esmée; Raijmakers, Pieter G.; Al Mukaddam, Mona; Tile, Lianne; Portal-Celhay, Cynthia; Sarkar, Neena; Hou, Peijie; Musser, Bret
Garetosmab
where the sprites move along a vertical scrolling overhead track. The first tile-based video game was Namco's arcade game Galaxian (1979). It debuted the
History of science and technology in Japan
History_of_science_and_technology_in_Japan
2025 American comedy-drama television series
Joy Womack as Tasha Schaeffer, a Russian ballerina at Le Ballet National Tiler Peck as Eva Cullman, a ballerina at the Metropolitan Ballet. She is accompanied
Étoile_(TV_series)
Competitive solving of combination puzzles
connected tiles, was removed from the list of official WCA events in 2012. The Rubik's Master Magic, a folding puzzle with 12 connected tiles, was removed
Speedcubing
compression ratio, maximum number of slices allowed, and maximum number of tiles allowed. Lower tiers are more constrained than higher tiers and lower levels
High Efficiency Video Coding tiers and levels
High_Efficiency_Video_Coding_tiers_and_levels
Reusable spacecraft under development by SpaceX
by a heat shield, which is composed of eighteen thousand hexagonal black tiles that can withstand temperatures of 1,400 °C (2,600 °F). It is designed to
SpaceX_Starship_(spacecraft)
Reusable first-stage rocket developed by SpaceX
Block 3 booster contains an updated aft dome, with metallic heat shield tiles mounted upon it. The interstage is equipped with four electrically actuated
SpaceX_Super_Heavy
Korean dynasty (918–1392)
Later Goguryeo and Goguryeo. Goryeo was established in 918 when general Wang Kŏn, after rising under the erratic Taebong ruler Kung Ye, was chosen by
Goryeo
principal dancer, Pacific Northwest Ballet, formerly Les Ballets de Monte Carlo Tiler Peck (born 1989), ballet dancer, principal dancer, New York City Ballet
List_of_female_dancers
Research of materials
structural elements such as steel-reinforced concrete, to the thermal insulating tiles, which play a key and integral role in NASA's Space Shuttle thermal protection
Materials_science
professional Go tournaments. World championships in Traditional card games and tile-based games. Competitions using mental tests. Competitions in abstract strategy
List of world championships in mind sports
List_of_world_championships_in_mind_sports
American electric vehicle and clean energy company
2021. Retrieved April 5, 2021. Ayre, James (September 7, 2017). "Solar Roof Tile Production at Tesla's Buffalo "Gigafactory" Now Up & Running". Clean Technica
Tesla,_Inc.
Main character, The Bear TV series
"What is a contract if not a kind of marriage?...All those close-ups...are tiles in a broader mosaic telling the story of the bond between family and legacy
Sydney_Adamu
six hundred houses of a private nature, most of them built of stone and tile, and an equal number outside in the suburbs, or "arrabales," all occupied
History_of_the_Philippines
Species of grass
lower dissolved inorganic nitrogen leaching from subterranean drainage tiles relative to the typical maize/soy rotation, with fertilized plots of switchgrass
Miscanthus_×_giganteus
Speakers of Austronesian languages
people Rumah limas Kedah of the Malay people Traditional Tagog anjing roof tiles of the Sundanese people Joglo traditional house, commonly used by Javanese
Austronesian_peoples
New York-based organized crime group
Cited" by Wendell Rawls Jr. (February 15, 1980) New York Times "'Willie the Tile Maker' passed Mafia secrets to Feds". The American Mafia. Edmond Valin. Archived
Bonanno_crime_family
Vacuum tube used to display images
other CRTs, or even broken down and used in road construction or used in tiles, concrete, concrete and cement bricks, fiberglass insulation or used as
Cathode_ray_tube
Indian badminton player (born 1990)
January 2014. Retrieved 27 January 2014. "Saina Nehwal wins Women's Singles Tile of Australian Open 2014". Biharprabha News. 29 June 2014. Retrieved 29 June
Saina_Nehwal
knowledge and wisdom above nationality. Their name comes from the White Lotus tile, a low-ranking piece in the game of Pai Sho, which is the most common form
List of Avatar: The Last Airbender characters
List_of_Avatar:_The_Last_Airbender_characters
Religious and philosophical tradition
(with the phoenix also standing for yin) made from multicolored ceramic tiles. In general though, Chinese Taoist architecture lacks universal features
Taoism
Chinese tennis player (born 1992)
compatriot Zhang Shuai in the final. Wang also had a great run in the Asian Swing. She won her first career tile in July at Jiangxi, where she defeated
Wang_Qiang_(tennis)
Genus of vines with lavender or white flowers
the spirit of wisteria. In the West, both in building materials such as tile, as well as stained glass, wisterias have been used both in realism and stylistically
Wisteria
Topics referred to by the same term
Kyoto, Japan Shisen-Sho (Japanese: 四川省, lit. 'Shisen Province'), a Japanese tile-based game similar to Mahjong solitaire Heart Aid Shisen (Japanese: ハートエイド・四川
Shisen
Warm-blooded animals with wings and feathers
hdl:10468/8068. PMID 31164250. Zheng, X.; Zhou, Z.; Wang, X.; Zhang, F.; Zhang, X.; Wang, Y.; Wei, G.; Wang, S.; Xu, X. (15 March 2013). "Hind Wings in Basal
Bird
Shape with three equal sides
by modern definition. The equilateral triangle can be found in various tilings, and in polyhedra. Applications of an equilateral triangle are in popular
Equilateral_triangle
Ryan (January 5, 2017). "The AMD Vega Architecture Teaser: Higher IPC, Tiling, & More, coming in H1'2017". AnandTech. Retrieved January 10, 2017. "Radeon
List of AMD graphics processing units
List_of_AMD_graphics_processing_units
Violent tactic resulting in the attacker's intentional death
Jewish chaplain to prisons, and he administered to them the last rites. Tile men committed suicide shortly after he left. Rabbi Goldman was immediately
Suicide_attack
Series of image file formats
tag 257 (ImageLength). A tiled TIFF image instead uses tags 322 (TileWidth), 323 (TileLength), 324 (TileOffsets), and 325 (TileByteCounts). The pixels within
TIFF
Pre-unification kingdoms (57 BC–668 AD)
found the remains of many production features such as pottery kilns, roof-tile kilns, charcoal kilns, as well as the remains of buildings and workshops
Three_Kingdoms_of_Korea
1945 attacks in Japan during WWII
near the outskirts of the city. The houses were constructed of timber with tile roofs, and many of the industrial buildings were also built around timber
Atomic bombings of Hiroshima and Nagasaki
Atomic_bombings_of_Hiroshima_and_Nagasaki
Period of Thai history
blue-and-white inlaid with stucco, ornate ceramic mosaic, ceramic roofs and ridged tiles. Pediments were plastered and decorated with Chinese floral motifs in ceramic
Rattanakosin Kingdom (1782–1932)
Rattanakosin_Kingdom_(1782–1932)
Former Chinese custom
were more fleshy would sometimes have shards of glass or pieces of broken tiles inserted within the binding next to her feet and between her toes to cause
Foot_binding
Musical artist
and her lyrics as "truly outrageous". For the same publication, Steffanee Wang described her songs as "bombastic and risqué". "Songs You Need In Your Life
Cortisa_Star
Chinese stealth fighter aircraft
powered by WS-10 engines equipped with different jagged-edge nozzles and tiles for greater stealth. The J-20 production model with the serrated WS-10C
Chengdu_J-20
2018 film by Jon M. Chu
game theory, she hands Eleanor the mahjong tile that lets her win and reveals that she could have kept the tile for herself and claimed victory. As Rachel
Crazy_Rich_Asians
Collection of ancient Chinese military statues
pieces of terracotta figures and fragments of the Qin necropolis – roofing tiles, bricks and chunks of masonry. This discovery prompted Chinese archaeologists
Terracotta_Army
TI BASIC No No Full Texas Instruments Compact Computer 40 Yes 2 Full Wang Wang 2300 Wang BASIC Wang Wang 2200 Wang BASIC Wang Wang 2200VP Wang BASIC-2
List of computers with on-board BASIC
List_of_computers_with_on-board_BASIC
Diode that emits light from an organic compound
638–639. doi:10.1002/sdtp.13595. S2CID 210522411. Luo, Haojun; Wang, Shaowen; Kang, Jiahao; Wang, Yu-Min; Zhao, Jigang; Tsong, Tina; Lu, Ping; Gupta, Amit;
OLED
Imperial dynasty in China (202 BC – 220 AD)
interrupted by the Xin dynasty (9–23 AD) established by the usurping regent Wang Mang. It is thus separated into two periods—the Western Han (202 BC – 9 AD)
Han_dynasty
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