usually the thing I intend to write about context begins with references to Douglas Adams WSOGMM, Samson Abramsky's obstruction to global sections, and a link to a talk by Jim Crutchfield about an enigma encountered while looking at how information flows through systems
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And then I mention lattices because there are all kinds of tricksy dynamical symmetries they have which can't be so easily expressed as rigid transformation. Part of the lattice does one thing, another part does a different one: these don't cleanly factor into
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operations on sublattices. Sometimes they play with figure and ground in ways which let you have explicit illustrations of some kinds of context aliasing, and those we can try to roughly image in more formal automorphic forms theory.)
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where context loops we can get elliptic curves, as well as the ability to be a bit creative: see Lenstra's paper here: http://escherdroste.math.leidenuniv.nl
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more or less: we can express (weird things happening to context) scenarios in transformations of lattices
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