Discrete Geometry - Topics in Discrete Geometry

Topics in Discrete Geometry

  • Polyhedra and polytopes
    • Polyhedral combinatorics
    • Lattice polytopes
    • Ehrhart polynomials
    • Pick's theorem
    • Hirsch conjecture
  • Packings, coverings and tilings
    • Circle packings
    • Sphere packings
    • Kepler conjecture
    • Quasicrystals
    • Aperiodic tilings
    • Periodic Graphs (Geometry)
  • Structural rigidity and flexibility
    • Cauchy's theorem
    • Flexible polyhedra
  • Incidence structures
    • Configurations
    • Line arrangements
    • Hyperplane arrangements
    • Buildings
  • Oriented matroids
  • Geometric graph theory
    • Graph drawing
    • Polyhedral graphs
    • Voronoi diagrams and Delaunay triangulations
  • Simplicial complexes
  • Topological combinatorics
    • Sperner's lemma
    • Regular maps
  • Lattices and discrete groups
    • Reflection groups
    • Triangle groups
  • Digital geometry
  • Discrete differential geometry
  • Geometric set partitioning and transversals

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