✦ LIBER ✦

Vertex mobility of polyhedra

✍ Scribed by Xincai Luo; Keith Taylor; Paul G. Mezey

Book ID: 104271891
Publisher: Springer
Year: 1993
Tongue: English
Weight: 536 KB
Volume: 55
Category: Article
ISSN: 1522-9602
DOI: 10.1016/s0092-8240(05)80065-5

No coin nor oath required. For personal study only.

✦ Synopsis

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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