The Isostatic Conjecture

We show that a jammed packing of disks with generic radii, in a generic container, is such that the minimal number of contacts occurs and there is only one dimension of equilibrium stresses, which have been observed with numerical Monte Carlo simulations. We also point out some connections to packings with different radii and results in the theory of circle packings whose graph forms a triangulation of a given topological surface.

• Publication year

  2017

• Venue

  Discrete & Computational Geometry

• Publication date

  2017-02-25

• Fields of study

  Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.1007/s00454-018-00051-0arXiv 1702.08442
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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