Point groups in three dimensions

id: point-groups-in-three-dimensions-174-17351800
title: Point groups in three dimensions
text: In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere. It is a subgroup of the orthogonal group O(3), the group of all isometries that leave the origin fixed, or correspondingly, the group of orthogonal matrices. O(3) itself is a subgroup of the Euclidean group E(3) of all isometries. Symmetry groups of geometric objects are isometry groups. Accordingly, analysis of isometry groups i
brand slug: wiki
category slug: encyclopedia
description: Groups of point isometries in 3 dimensions
original url: https://en.wikipedia.org/wiki/Point_groups_in_three_dimensions
date created: 2005-09-17T09:09:53Z
date modified: 2024-09-03T00:10:02Z
main entity: {"identifier":"Q7208207","url":"https://www.wikidata.org/entity/Q7208207"}
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fields total: 13
integrity: 15

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