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Fundamental Domain
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Geliefert zwischen Fr., 23.01.2026 und Mo., 26.01.2026
Details
In geometry, the fundamental domain of a symmetry group of an object is a part or pattern, as small or irredundant as possible, which determines the whole object based on the symmetry. More rigorously, given a topological space and a group acting on it, the images of a single point under the group action form an orbit of the action. A fundamental domain is a subset of the space which contains exactly one point from each of these orbits. It serves as a geometric realization for the abstract set of representatives of the orbits.There are many ways to choose a fundamental domain. Typically, a fundamental domain is required to be a connected subset with some restrictions on its boundary, for example, smooth or polyhedral. The images of a chosen fundamental domain under the group action then tile the space. One general construction of fundamental domains uses Voronoi cells.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130709334
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- EAN 9786130709334
- Format Fachbuch
- Titel Fundamental Domain
- Herausgeber Alphascript Publishing
- Anzahl Seiten 92
- Genre Mathematik
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