Periodic graph (geometry)

id: periodic-graph-geometry-286-5208446
title: Periodic graph (geometry)
text: A Euclidean graph is periodic if there exists a basis of that Euclidean space whose corresponding translations induce symmetries of that graph. Equivalently, a periodic Euclidean graph is a periodic realization of an abelian covering graph over a finite graph. A Euclidean graph is uniformly discrete if there is a minimal distance between any two vertices. Periodic graphs are closely related to tessellations of space and the geometry of their symmetry groups, hence to geometric group theory, as w
brand slug: wiki
category slug: encyclopedia
description:
original url: https://en.wikipedia.org/wiki/Periodic_graph_(geometry)
date created:
date modified: 2024-01-24T01:45:03Z
main entity: {"identifier":"Q7168638","url":"https://www.wikidata.org/entity/Q7168638"}
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fields total: 13
integrity: 13

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