About: Dehn invariant

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In geometry, the Dehn invariant is a value used to determine whether one polyhedron can be cut into pieces and reassembled ("dissected") into another, and whether a polyhedron or its dissections can tile space. It is named after Max Dehn, who used it to solve Hilbert's third problem by proving that not all polyhedra with equal volume could be dissected into each other.

Attributes	Values
rdf:type	Thing
rdfs:label	Dehn-Invariante (de) Invariante de Dehn (es) Dehn invariant (en)
rdfs:comment	In der Mathematik ist die Dehn-Invariante eine Invariante von Polyedern. Zwei dreidimensionale Polyeder sind genau dann zerlegungsgleich (d. h. lassen sich in kongruente Stücke zerlegen), wenn Volumen und Dehn-Invariante übereinstimmen. (de) In geometry, the Dehn invariant is a value used to determine whether one polyhedron can be cut into pieces and reassembled ("dissected") into another, and whether a polyhedron or its dissections can tile space. It is named after Max Dehn, who used it to solve Hilbert's third problem by proving that not all polyhedra with equal volume could be dissected into each other. (en) En geometría, el invariante de Dehn de un poliedro es un valor que se usa para determinar si los poliedros pueden ser congruentemente diseccionados entre sí o si pueden rellenar el espacio. Lleva el nombre de Max Dehn, quien lo usó para resolver el tercer problema de Hilbert, que versa sobre si todos los poliedros con el mismo volumen son congruentemente diseccionables entre sí. La condición hallada por Dehn toma la forma: (es)
differentFrom	Dehn function
foaf:depiction
dcterms:subject	Polyhedra Geometric dissection
Wikipage page ID	338051 (xsd:integer)
Wikipage revision ID	1120488063 (xsd:integer)
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