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Plesiohedron

In geometry, a plesiohedron is a special kind of space-filling polyhedron, defined as the Voronoi cell of a symmetric Delone set. Three-dimensional Euclidean space can be completely filled by copies of any one of these shapes, with no overlaps. The resulting honeycomb will have symmetries that take any copy of the plesiohedron to any other copy.

Examples, Definition & Overview

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Overview

Definition

Examples

Advanced semantic analysis

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Map overview Semantic statistics

Plesiohedron

Nodes41
Edges40
Triples21
Avg. degree1.95
Density0.04878
Components1

How this topic connects Entity context

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Plesiohedron

Top relations

related to Definition · 10
Plesiohedron → Additionally, Delone, Euclidean, For, So, That, The, The Voronoi, Voronoi, When
related to Examples · 10
Plesiohedron → Delone, Dirichlet, Equivalently, For, Notable, Plesiohedra, The, There, These, Voronoi
is a · 1
Plesiohedron → special kind of space-filling polyhedron

Important terminology Word statistics

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Important terminology

voronoi displaystyle cells space points delone set plesiohedra faces honeycomb polyhedron symmetric prototile symmetries include number symmetry space-filling one hexagonal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Plesiohedronis aspecial kind of space-filling polyhedron0.90text
Plesiohedronrelated to DefinitionEuclidean0.60section
Plesiohedronrelated to DefinitionDelone0.60section
Plesiohedronrelated to DefinitionSo0.60section
Plesiohedronrelated to DefinitionFor0.60section
Plesiohedronrelated to DefinitionAdditionally0.60section
Plesiohedronrelated to DefinitionThat0.60section
Plesiohedronrelated to DefinitionThe Voronoi0.60section
Plesiohedronrelated to DefinitionVoronoi0.60section
Plesiohedronrelated to DefinitionWhen0.60section
Plesiohedronrelated to DefinitionThe0.60section
Plesiohedronrelated to ExamplesThe0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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