Extending Bricard Octahedra

Mathematics – Metric Geometry

Scientific paper

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22 pages, 14 figures, 3 theorems

Scientific paper

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.

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