Schemes for Object Fixation and Centering in Self-Centering Mechanisms Using Sets of Hidden Bases

The foundational aspects of fixation theory are updated, and a revised composition of bases is introduced: mounting, guiding, supporting, double guiding, double supporting, and triple supporting. These bases combine into five sets, each implementable through explicit or hidden bases or their combinations. This study finds that using sets of hidden bases poses significant challenges for object fixation, characterized by the need to determine the positions of support points by contact points on the object, which is achieved through mounting elements. When using a hidden base, the position of the support point is defined by the self-centering mechanism through contact points with the object to be based. Various design schemes for fixation and centering of objects using sets of hidden bases in self-centering mechanisms are considered.