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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