Three-dimensional finite point groups and the symmetry of beaded beads

@article{Fisher2007ThreedimensionalFP,
  title={Three-dimensional finite point groups and the symmetry of beaded beads},
  author={Gwen L. Fisher and B. Mellor},
  journal={Journal of Mathematics and the Arts},
  year={2007},
  volume={1},
  pages={85 - 96}
}
Beaded beads are clusters of beads woven together (usually around one or more large holes). Their groups of symmetries are classified by the three-dimensional finite point groups, i.e. the finite subgroups of the orthogonal group of degree three, O(3). The question we answer is whether every finite subgroup of O(3) can be realized as the group of symmetries of a beaded bead. We show that this is possible, and we describe general weaving techniques we used to accomplish this feat, as well as… Expand
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