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Completeness is a theorem; that nature realises all fourteen is the empirical part." }, { "@value": "Related claim (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." } ], "http://www.w3.org/2000/01/rdf-schema#label": [ { "@value": "There are fourteen distinct lattice modes" } ], "http://www.w3.org/2004/02/skos/core#notation": [ { "@value": "|\\text{Bravais lattices}| = 14" } ], "http://www.w3.org/2004/02/skos/core#related": [ { "@id": "https://w3id.org/delphi/resource/claim/thompson1917-ch09-11" } ], "https://w3id.org/delphi/ontology/context": [ { "@value": "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. 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