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When is a symmetric pin-jointed framework isostatic?
Robert Connelly, Patrick Fowler, Simon Guest +2
Maxwell's rule from 1864 gives a necessary condition for a framework to be isostatic in 2D or in 3D. Given a framework with point group symmetry, group representation theory is exp…
math.MG2001
Pushing disks apart - The Kneser-Poulsen conjecture in the plane
Károly Bezdek, Robert Connelly
We give a proof of the planar case of a longstanding conjecture of Kneser (1955) and Poulsen (1954). In fact, we prove more by showing that if a finite set of disks in the plane is…