Discrete geometry

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Topics

Polyhedron 4-polytope Apeirotopes Abstract polytopes Polyhedral combinatorics

119 related topics

History

Polyhedra Tessellations Kepler Cauchy Circle packings

14 related topics

Overview

Geometry Combinatorial Discrete Finite Discrete

22 related topics

Topics to explore

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Overview

Geometry
Combinatorial Combinatorics
Discrete Discrete mathematics
Finite Finite set
Discrete Discrete space
Sets Set (mathematics)
Points Point (geometry)
Lines Line (geometry)
Planes Plane (geometry)
Circles Circle
Spheres Sphere
Polygons Polygon
Intersect Intersection (set theory)
Convex geometry
Computational geometry
Finite geometry
Combinatorial optimization
Digital geometry
Discrete differential geometry
Geometric graph theory
Toric geometry
Combinatorial topology

History

Polyhedra
Tessellations Tessellation
Kepler Johannes Kepler
Cauchy Augustin-Louis Cauchy
Circle packings Circle packing
Thue Axel Thue
Projective configurations Projective configuration
Steinitz Ernst Steinitz
Geometry of numbers
Map colourings Four colour theorem
Hadwiger
László Fejes Tóth
H.S.M. Coxeter Harold Scott MacDonald Coxeter
Paul Erdős

Topics

Polyhedron
4-polytope
Apeirotopes Apeirotope
Abstract polytopes Abstract polytope
Polyhedral combinatorics
Lattice polytopes Convex lattice polytope
Ehrhart polynomials Ehrhart polynomial
Pick's theorem
Hirsch conjecture
Opaque set
Manifold
Dimensional Dimension
Euclidean space
Packing problems Packing problem
Hypersphere
Non-Euclidean Non-Euclidean geometry
Hyperbolic space
Plane Plane (mathematics)
Mathematics
Sphere packings Sphere packing
Kepler conjecture
Quasicrystals Quasicrystal
Aperiodic tilings Aperiodic tiling
Periodic graph Periodic graph (geometry)
Finite subdivision rules Finite subdivision rule
Rigid bodies Rigid body
Linkages Linkage (mechanical)
Hinges Hinge
Cauchy's theorem Cauchy's theorem (geometry)
Flexible polyhedra Flexible polyhedron

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Map overview Semantic statistics

Nodes159

Edges158

Triples81

Avg. degree1.99

Density0.012579

Components1

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Discrete geometry

Top relations

related to References · 51

Discrete geometry → Agarwal, András, Antoine, Berlin, Bezdek, Boca Raton, Brass, Chapman, Classical Topics, Combinatorial, Combinatorial Geometry, Computational Geometry, Convex, CS1, Deza, Discrete, Discrete Geometric Side, Excursions, Goodman, Gruber

related to history · 14

Discrete geometry → Cauchy, Coxeter, Early, Hadwiger, Heawood, Kepler, László Fejes Tóth, Minkowski, Paul Erdős, Polyhedra, Reye, Steinitz, Tait, Thue

related to Polyhedra and polytopes · 2

Discrete geometry → Some, The

Important terminology Word statistics

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Important terminology

discrete geometry geometric isbn combinatorial topics topology objects include topological area graph theory finite spheres space new springer study combinatorics

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
finite geometry	instance of	and is closely related to subjects	0.80	text
combinatorial optimization	instance of	and is closely related to subjects	0.80	text
digital geometry	instance of	and is closely related to subjects	0.80	text
discrete differential geometry	instance of	and is closely related to subjects	0.80	text
geometric graph theory	instance of	and is closely related to subjects	0.80	text
toric geometry	instance of	and is closely related to subjects	0.80	text
and combinatorial topology	instance of	and is closely related to subjects	0.80	text
Kepler	instance of	HistoryPolyhedra and tessellations had been studied for many years by people	0.80	text
Cauchy	instance of	HistoryPolyhedra and tessellations had been studied for many years by people	0.80	text
modern discrete geometry has its origins in the late 19th century	instance of	HistoryPolyhedra and tessellations had been studied for many years by people	0.80	text
hyperbolic space.A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes	instance of	or to non-Euclidean spaces	0.80	text
called tiles	instance of	or to non-Euclidean spaces	0.80	text

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Overview

History

Topics

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Discrete geometry

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Discrete geometry

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges