论文信息 - A symmetry analysis of mechanisms in rotating rings of tetrahedra

A symmetry analysis of mechanisms in rotating rings of tetrahedra

Rotating rings of tetrahedra are well known from recreational mathematics. Rings of N tetrahedra with N even are analysed by symmetry-adapted versions of classical counting rules of mechanism analysis. For N ≥ 6, a single state of self-stress is found, together with N−5 symmetry-distinct mechanisms, which include the eponymous rotating mechanism. For N=4 in a generic configuration, a single mechanism remains together with three states of self-stress, but, uniquely in this case, the mechanism path passes through a bifurcation at which the number of mechanisms and states of self-stress is raised by one.

S. Guest | P. W. Fowler | P.W Fowler | S.D Guest

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