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math.MG2026
The Simplest Flexible Cross-Polytopes
Hellmuth Stachel
According to R. Bricard there exist three types of flexible octahedra. The octahedra of Type 3 are unsymmetric and admit two flat poses. With regard to higher-dimensional analogues…
math.MG2026
Geometric analysis of Bennett's spherical 8-bar linkage and its spatial counterpart
Hellmuth Stachel
We provide a geometric approach to two combinatorically symmmetric overconstrained spatial linkages. Both contain eight bodies and twelve revolute joints and collapse in aligned po…