Wang tiles (or Wang dominoes), first proposed by mathematician, logician, and philosopher Hao Wang in 1961, are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected (for example the set in the picture). Then copies of the tiles are arranged side by side with matching colors, but without rotating or reflecting the tiles.
The basic question about a set of Wang tiles is whether it can tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern.
In 1961, Wang conjectured that if a finite set of Wang tiles can tile the plane, then there exists also a periodic tiling, i.e., a tiling that is invariant under translations by vectors in a 2-dimensional lattice, like a wallpaper pattern. He also observed that this conjecture would imply the existence of an algorithm to decide whether a given finite set of Wang tiles can tile the plane. The idea of constraining adjacent tiles to match each other occurs in the game of dominoes, so Wang tiles are also known as Wang dominoes. The algorithmic problem of determining whether a tile set can tile the plane became known as the domino problem.
Wang may refer to:
Names:
Places:
Other:
Naming laws in the People's Republic of China (excluding Hong Kong and Macau, as well as the Republic of China situated on the islands of Taiwan, Penghu, Kinmen and Matsu) are based on technical capability rather than the appropriateness of words (as opposed to naming laws in Japan, which restrict the Kanji which can be used based on appropriate taste, as well as readability by all people). Although it is advised for parents to name their children so that others are able to easily read their names, there are no restrictions on the complexity of Chinese characters used, provided that there are no technical issues in doing so (see below). The use of Simplified characters is advised over Traditional Chinese characters; however, this is not strictly enforced.
"General Principles of Civil Law" Article 99 guarantees citizens the right to a name and the choice of naming therein. The right of self-naming permits the surname, although naturally obtained from the paternal side, to be taken from either parent if desired (such as in the case of a dispute between parents) under Article 22 of the "Marriage Law". Thus, the government does not interfere with the will of the person or their parents in the selection of a surname, provided that it is taken from one parent. Citizens also have the right to select their given names and aliases, in which the government has no right to interfere.
Radical 96 meaning "jade" is 1 of 23 Kangxi radicals (214 radicals total) composed of 5 strokes.
In the Kangxi Dictionary there are 473 characters (out of 49,030) to be found under this radical.
