The Quaternion Group as a Symmetry Group
History and Overview
2014-04-29 v1
Abstract
We briefly review the distinction between abstract groups and symmetry groups of objects, and discuss the question of which groups have appeared as the symmetry groups of physical objects. To our knowledge, the quaternion group (a beautiful group with eight elements) has not appeared in this fashion. We describe the quaternion group, both formally and intuitively, and give our strategy for representing the quaternion group as the symmetry group of a physical sculpture.
Keywords
Cite
@article{arxiv.1404.6596,
title = {The Quaternion Group as a Symmetry Group},
author = {Vi Hart and Henry Segerman},
journal= {arXiv preprint arXiv:1404.6596},
year = {2014}
}
Comments
8 pages, 8 figures, to appear in the Proceedings of Bridges 2014