5 problems

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…

Schicho's conjecture. There exists a second six-tuple of points such that the maximal number of $7$ projections related by an inversion is reached; this six-tuple is unique up to s…

Students' conjecture. The linkage produces a circular arc and a straight line segment if two bars of it are crossing.

A rational motion is represented by a rational curve on the Study quadric, and exceptional degree reduction is characterized by the geometric criterion established in the paper. Th…