Realizations and Constructions of Minimally Rigid Graphs

Year: 2018 Authors: Georg Grasegger

Core claim

Henneberg-type constructions and rigidity theory provide a way to build and realize minimally rigid graphs in 2D and 3D.

Topics

rigidity theory, graph realizations, Henneberg constructions, physical construction

Domains

graph theory, discrete geometry, algebraic geometry, rigidity theory, mathematical sculpture, structural design, architecture, craft

Methods

Henneberg steps, quadratic equations, Gröbner bases, physical prototyping

Media

magnetic bars, wooden sticks and screws, drinking straws, beads

Source status

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