Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1307-0933-4 |
Объём: | 92 страниц |
Масса: | 160 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
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.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.