6 problems

A bi-Bennett is an arrangement of two Bennett mechanisms, and the classes (I2, II2, III2) and (I3, II3, III3) are the complete classes of flexible bipyramids and biprisms, respecti…

Let a multi-Bennett 8R mechanism be an eight-revolute-axis closed-loop mechanism, and let its Denavit–Hartenberg parameters consist of offsets, distances, and angles. The necessary…

Let a motion polynomial $C\in\mathbb{D}\mathbb{H}[s,t]$ have bi-degree $(2,2)$ and admit alternating factorizations into univariate linear factors, yielding a closed-loop 8R mechan…

Finite-motion completeness conjecture. The finite motions form a one-dimensional manifold, with one pyramid fixed and the other undergoing a rigid motion, that is, an isometry of t…

Symmetry-preserving actuator motion conjecture. The resulting symmetry-preserving motion is the only motion of the structure.

A pinned $d$-Assur graph is a minimal pinned isostatic graph in dimension $d$, and a strongly $d$-Assur graph is a restricted subclass with the property that removing any single ed…