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Heesch Anisohedral Tiling
Heesch can refer to: * Heesch, Netherlands, a town in the Bernheze municipality * Heinrich Heesch (1906–1995), German mathematician * Heesch's problem in mathematics {{Disambig, surname Surnames of German origin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heesch, Netherlands
Heesch () is a village in the Netherlands, Dutch province of North Brabant. Heesch is next to the village . It is located in the municipality of Bernheze, about 3 km south of Oss. Heesch was a separate municipality until 1994, when it merged with Heeswijk-Dinther and Nistelrode. The new municipality was originally called "Heesch", but changed its name to "Bernheze" in 1995. References External links * Municipalities of the Netherlands disestablished in 1995 Populated places in North Brabant Former municipalities of North Brabant Bernheze {{NorthBrabant-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heinrich Heesch
Heinrich Heesch (June 25, 1906 – July 26, 1995) was a German mathematician. He was born in Kiel and died in Hanover. In Göttingen he worked on Group theory. In 1933 Heesch witnessed the National Socialist purges of university staff. Not willing to become a member of the National Socialist organization of university teachers as required, he resigned from his university position in 1935 and worked privately at his parents' home in Kiel until 1948. During this time he did research on tilings. In 1955 Heesch began teaching at Leibniz University Hannover and worked on graph theory. In this period Heesch did pioneering work in developing methods for a computer-aided proof of the then unproved four color theorem. In particular, he was the first to investigate the notion of "discharging", which turned out to be a fundamental ingredient of the eventual computer-aided proof by Kenneth Appel and Wolfgang Haken. Between 1967 and 1971, Heesch made several visits to the United States ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heesch's Problem
In geometry, the Heesch number of a shape is the maximum number of layers of copies of the same shape that can surround it. Heesch's problem is the problem of determining the set of numbers that can be Heesch numbers. Both are named for geometer Heinrich Heesch, who found a tile with Heesch number 1 (the union of a square, equilateral triangle, and 30-60-90 right triangle) and proposed the more general problem. For example, a square may be surrounded by infinitely many layers of congruent squares in the square tiling, while a circle cannot be surrounded by even a single layer of congruent circles without leaving some gaps. The Heesch number of the square is infinite and the Heesch number of the circle is zero. In more complicated examples, such as the one shown in the illustration, a polygonal tile can be surrounded by several layers, but not by infinitely many; the maximum number of layers is the tile's Heesch number. Formal definitions A tessellation of the plane is a part ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
