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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topological topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 12th 2022
   • (edited May 12th 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexsome minimum (on the notion in solid state physics, the other now renamed to *[[crystal (algebraic geometry)]]*) <a href="https://ncatlab.org/nlab/revision/crystal/1">v1</a>, <a href="https://ncatlab.org/nlab/show/crystal">current</a>

   some minimum (on the notion in solid state physics, the other now renamed to crystal (algebraic geometry))

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 15th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to this historical article: * [[William Barlow]], *Probable Nature of the Internal Symmetry of Crystals*, Nature **29** (1883) 186–188 $[$[doi:10.1038/029186a0](https://doi.org/10.1038/029186a0)$]$ <a href="https://ncatlab.org/nlab/revision/diff/crystal/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/crystal/2">v2</a>, <a href="https://ncatlab.org/nlab/show/crystal">current</a>

   added pointer to this historical article:

   • William Barlow, Probable Nature of the Internal Symmetry of Crystals, Nature 29 (1883) 186–188 doi:10.1038/029186a0

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 14th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Peter Engel]], *Geometric Crystallography -- An Axiomatic Introduction to Crystallography*, D. Reidel Publishing (1986) $[$[doi:10.1007/978-94-009-4760-3](https://doi.org/10.1007/978-94-009-4760-3)$]$ <a href="https://ncatlab.org/nlab/revision/diff/crystal/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/crystal/6">v6</a>, <a href="https://ncatlab.org/nlab/show/crystal">current</a>

   added pointer to:

   • Peter Engel, Geometric Crystallography – An Axiomatic Introduction to Crystallography, D. Reidel Publishing (1986) doi:10.1007/978-94-009-4760-3

   diff, v6, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJul 22nd 2025
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded (here and at *[[space group]]*) the following pointers: * Walter Borchardt-Ott: *Crystallography*, Springer (2012) &lbrack;[doi:10.1007/978-3-642-16452-1](https://doi.org/10.1007/978-3-642-16452-1)&rbrack; * Christopher Hammond: *The Basics of Crystallography and Diffraction*, Oxford University Press (2015) &lbrack;[ISBN:9780198738688](https://global.oup.com/academic/product/the-basics-of-crystallography-and-diffraction-9780198738688)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/crystal/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/crystal/11">v11</a>, <a href="https://ncatlab.org/nlab/show/crystal">current</a>

   added (here and at space group) the following pointers:

   • Walter Borchardt-Ott: Crystallography, Springer (2012) [doi:10.1007/978-3-642-16452-1]

   • Christopher Hammond: The Basics of Crystallography and Diffraction, Oxford University Press (2015) [ISBN:9780198738688]

   diff, v11, current