Extending Bricard Octahedra
Abstract
We demonstrate the construction of several families of flexible polyhedra by extending Bricard octahedra to form larger composite flexible polyhedra. These flexible polyhedra are of genus 0 and 1, have dihedral angles that are non-constant under flexion, exhibit self-intersections and are of indefinite size, the smallest of which is a decahedron with seven vertexes.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- arXiv:
- arXiv:1011.5193
- Bibcode:
- 2010arXiv1011.5193N
- Keywords:
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- Mathematics - Metric Geometry
- E-Print:
- 22 pages, 14 figures, 3 theorems