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Laves graph

In geometry and crystallography, the Laves graph is an infinite and highly symmetric system of points and line segments in three-dimensional Euclidean space, forming a periodic graph. Three equal-length segments meet at 120° angles at each point, and all cycles use ten or more segments. It is the shortest possible triply periodic graph, relative to the…

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Map overview Semantic statistics

Laves graph

Nodes77
Edges76
Triples62
Avg. degree1.97
Density0.025974
Components1

How this topic connects Entity context

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Laves graph

Top relations

related to External links · 14
Laves graph → George, Hart, Integer Sequences, Laves, Network, Number, OEIS Foundation, OEIS FoundationSloane, SequenceA046944, SequenceA290705, Sloane, The, The On-Line Encyclopedia, Theta
related to As a covering graph · 10
Laves graph → As, Being, Choose, Finally, For, Laves, The, Then, This, When
related to Art · 7
Laves graph → Bamboozle, Eindhoven University, It, Jacobus Verhoeff, Laves, Technology, Tom Verhoeff
related to From the integer grid · 7
Laves graph → All, As Coxeter, Euclidean, It, Laves, Specifically, The
related to As a unit distance graph · 6
Laves graph → Another, However, It, Laves, The, There
related to Molecular crystals · 6
Laves graph → However, In, Laves, Other, SrSi2, The Laves
related to Properties · 6
Laves graph → Every, However, Laves, More, The, The Laves
is a · 4
Laves graph → cubic graph, infinite and highly symmetric system of points and line segments in three-dimensional Euclidean space, space group I 4 1 32, unique shortest triply-periodic network
related to Other · 2
Laves graph → Laves, The

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Important terminology

graph laves displaystyle edges lattice vertex integer vertices structure one space covering three points also abelian fundamental domain sqrt distance

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Laves graphis ainfinite and highly symmetric system of points and line segments in three-dimensional Euclidean space0.90text
Laves graphis acubic graph0.90text
Laves graphis aspace group I 4 1 320.90text
Laves graphis aunique shortest triply-periodic network0.90text
Laves graphrelated to ArtBamboozle0.60section
Laves graphrelated to ArtJacobus Verhoeff0.60section
Laves graphrelated to ArtTom Verhoeff0.60section
Laves graphrelated to ArtLaves0.60section
Laves graphrelated to ArtIt0.60section
Laves graphrelated to ArtEindhoven University0.60section
Laves graphrelated to ArtTechnology0.60section
Laves graphrelated to As a covering graphAs0.60section

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    Min side: 3
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