https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8/Head https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8 http://www.nanopub.org/nschema#hasAssertion https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8/assertion https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8 http://www.nanopub.org/nschema#hasProvenance https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8/provenance https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8 http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8/pubinfo https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8 http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8/assertion https://w3id.org/delphi/resource/claim/bravais1850-03 http://purl.org/dc/terms/description The seven classes divide into fourteen distinct modes of arrangement: three in the cubic system, one hexagonal, two tetragonal, one rhombohedral, four orthorhombic, two monoclinic and one triclinic. https://w3id.org/delphi/resource/claim/bravais1850-03 http://purl.org/dc/terms/type theoretical https://w3id.org/delphi/resource/claim/bravais1850-03 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/Claim https://w3id.org/delphi/resource/claim/bravais1850-03 http://www.w3.org/2000/01/rdf-schema#comment Formalization: one, contingent. Completeness is a theorem; that nature realises all fourteen is the empirical part. https://w3id.org/delphi/resource/claim/bravais1850-03 http://www.w3.org/2000/01/rdf-schema#comment Related claim <https://w3id.org/delphi/resource/claim/thompson1917-ch09-11> (analogy): Thompson explains the six-rayed hexactinellid spicule by vesicles packed in linear series, so that the spicule follows the edges of a system of cubes rather than of hexagons or dodecahedra: the arrangement he invokes is the cubic P mode of Bravais's fourteen. An analogy of packing between cells and lattice points, not a statement that the sponge is a crystal. https://w3id.org/delphi/resource/claim/bravais1850-03 http://www.w3.org/2000/01/rdf-schema#label There are fourteen distinct lattice modes https://w3id.org/delphi/resource/claim/bravais1850-03 http://www.w3.org/2004/02/skos/core#notation |\text{Bravais lattices}| = 14 https://w3id.org/delphi/resource/claim/bravais1850-03 http://www.w3.org/2004/02/skos/core#related https://w3id.org/delphi/resource/claim/thompson1917-ch09-11 https://w3id.org/delphi/resource/claim/bravais1850-03 https://w3id.org/delphi/ontology/context Bravais A, “Mémoire sur les systèmes formés par des points distribués régulièrement sur un plan ou dans l'espace”, Journal de l'École Polytechnique 19 (cahier 33), 1850; read in Études cristallographiques, Gauthier-Villars, Paris, 1866 (1850); Mémoire sur les systèmes de points, § VI, pp. 95-98. Scope: All three-dimensional lattices. https://w3id.org/np/RAn6f-OfMFlN1eWJq5Ff3DSD_FX3UatFpDeZCxkZFkqh8/provenance https://archive.org/details/tudescristallog00bravgoog http://purl.org/dc/terms/bibliographicCitation Bravais A. Mémoire sur les systèmes formés par des points distribués régulièrement sur un plan ou dans l'espace. Journal de l'École Polytechnique 19 (cahier 33), 1850; read in Études cristallographiques, Gauthier-Villars, Paris, 1866 (1850), 1-128 https://archive.org/details/tudescristallog00bravgoog http://purl.org/dc/terms/creator Auguste Bravais https://archive.org/details/tudescristallog00bravgoog http://purl.org/dc/terms/date 1850 https://archive.org/details/tudescristallog00bravgoog http://purl.org/dc/terms/description The posthumous 1866 collection reprints the 1850 memoir on lattices and the 1851 memoir on polyhedra of crystalline form. 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