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Gram–Euler theorem

In geometry, the Gram–Euler theorem, Gram-Sommerville, Brianchon-Gram or Gram relation (named after Jørgen Pedersen Gram, Leonhard Euler, Duncan Sommerville and Charles Julien Brianchon) is a generalization of the internal angle sum formula of polygons to higher-dimensional polytopes. The equation constrains the sums of the interior angles of a polytope…

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Gram–Euler theorem

Nodes28
Edges27
Triples12
Avg. degree1.93
Density0.071429
Components1

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Gram–Euler theorem

Top relations

related to Statement · 12
Gram–Euler theorem → Dehn-Sommerville, Euclidean, Euler, For, Gram, Here, In, Let, Perles, Then, Vol, When

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Important terminology

angle displaystyle relation faces polytope theorem sum euler sommerville interior geometry pi angles spherical dim solid term polygon gram internal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Gram–Euler theoremrelated to StatementLet0.60section
Gram–Euler theoremrelated to StatementFor0.60section
Gram–Euler theoremrelated to StatementThen0.60section
Gram–Euler theoremrelated to StatementGram0.60section
Gram–Euler theoremrelated to StatementEuler0.60section
Gram–Euler theoremrelated to StatementIn0.60section
Gram–Euler theoremrelated to StatementEuclidean0.60section
Gram–Euler theoremrelated to StatementVol0.60section
Gram–Euler theoremrelated to StatementHere0.60section
Gram–Euler theoremrelated to StatementWhen0.60section
Gram–Euler theoremrelated to StatementPerles0.60section
Gram–Euler theoremrelated to StatementDehn-Sommerville0.60section

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