Animated Motions of Exceptional Flexible Instances of Generically Rigid Graphs

Year: 2019 Authors: Georg Grasegger; Jan Legersky; Josef Schicho

Core claim

Certain symmetric generically rigid graphs can be assigned special edge lengths so they become flexibly realizable and animate through a continuous motion.

Topics

graph rigidity, flexible realizations, NAC-colorings, symmetric animations

Domains

rigidity theory, graph theory, computational geometry, kinetic sculpture, geometric animation, visual pattern design

Methods

NAC-coloring construction, equivalence classes of vertices, grid realization parametrization, triangular and zig-zag grids

Media

wooden sticks, screws, unit-distance graphs, supplementary animations

Source status

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