Abstract
A class of deformations of polyhedra which preserve both the combinatorial type and the location of all but one vertex are examined, leading to the concepts of unconditional and conditional vertex mobility. A simple criterion for vertex mobility is given, and equimobility classes of polyhedra are introduced. The polyhedral mobility characterization is suggested for applications in dynamic molecular modeling, shape analysis of protein folding, and the study of rearrangements of atomic clusters.
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Luo, X., Taylor, K. & Mezey, P.G. Vertex mobility of polyhedra. Bltn Mathcal Biology 55, 131–140 (1993). https://doi.org/10.1007/BF02460298
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DOI: https://doi.org/10.1007/BF02460298