@prefix this: . @prefix sub: . @prefix np: . @prefix rdf: . @prefix prov: . @prefix npx: . @prefix dc: . @prefix xsd: . sub:Head { this: a np:Nanopublication; np:hasAssertion sub:assertion; np:hasProvenance sub:provenance; np:hasPublicationInfo sub:pubinfo . } sub:assertion { a ; dc: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."; dc:type "theoretical"; "Formalization: one, contingent. Completeness is a theorem; that nature realises all fourteen is the empirical part.", "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."; "There are fourteen distinct lattice modes"; "|\\text{Bravais lattices}| = 14"; ; "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." . } sub:provenance { a prov:Entity, ; dc: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"; dc:creator "Auguste Bravais"; dc:date "1850"^^xsd:gYear; dc:description "The posthumous 1866 collection reprints the 1850 memoir on lattices and the 1851 memoir on polyhedra of crystalline form. French."; dc:rights "Public domain (1850; collection 1866)."; dc:title "Mémoire sur les systèmes formés par des points distribués régulièrement sur un plan ou dans l'espace"; sub:sourceChecksum; "Reading copy of Mémoire sur les systèmes formés par des points distribués régulièrement sur un plan ou dans l'espace"; . a prov:SoftwareAgent; "delphisci crystals-and-form claim extractor"; prov:actedOnBehalfOf ; . a ; "Claude Fable 5.1" . sub:assertion prov:wasAttributedTo ; prov:wasDerivedFrom , sub:quote; prov:wasGeneratedBy sub:extraction . sub:extraction a prov:Activity; prov:qualifiedAssociation sub:extractionPlan; prov:used , ; prov:wasAssociatedWith . sub:extractionPlan prov:hadPlan . sub:quote a prov:Entity; "Page 183 of the reading copy; paragraph 3259 of the normalised text 1850-bravais.txt (sha256 d7a7910b838d96a1c4b37d979c0ba877c254fd83a256922580fa367c168d3cbd), produced by build/fetch.py and checked by build/check-quotes.mjs. The text itself is not committed."; prov:hadPrimarySource ; prov:wasQuotedFrom ; "Nous allons maintenant appliquer les formules du § IX à chacun des quatorze modes cristallins." . sub:sourceChecksum ; "d7a7910b838d96a1c4b37d979c0ba877c254fd83a256922580fa367c168d3cbd"; "Checksum of the normalised one-paragraph-per-line text derived from the reading copy, not of the reading copy itself." . } sub:pubinfo { "crystals-and-form" . this: dc:created "2026-11-07T06:06:25.583Z"^^xsd:dateTime; dc:creator ; dc:license ; npx:hasNanopubType ; npx:introduces ; npx:supersedes ; "Auguste Bravais 1850 claim: There are fourteen distinct lattice modes"; . sub:sig npx:hasAlgorithm "RSA"; npx:hasPublicKey "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB"; npx:hasSignature "XHxTVV83IwuJjtg+0RWF1I7BFYWGctkzSNj1kgGP3epoY+KDbO6Ma4vJhwkl2lSy1zWhgreZntzjPuj3y9s/HWndvAgNQw18JU6ijih9rHaLzAbmkiCbji29GYLdFlhl1optsWN1y5+dxFn6rg53Hj7Wo71PkUh0YsC37DfL4KG23I8dpm5P2QY7PDdIInClDwTABsNa/CTA/8kaTn4cO4YbQMt7gtsiKJVXO02IRy6L9UmOiUNQOOujjRzIQeHDC2jlQQFt7qAl3QRdLHhcsGeddP59ERUXcSpCxOGZQQpvBR+cvIbspESzc3pWv8cAXFkAwQe3YBSgHxLFKpKxvQ=="; npx:hasSignatureTarget this:; npx:signedBy . }