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iching-sheaf

Sheaf theory applied to the I Ching — models the 64 hexagrams as a sheaf on a topological space, with restriction maps encoding line transformations.

What This Gives You

  • Sheaf structure — hexagrams as sections over a topological base
  • Restriction maps — line changes as stalk-to-stalk morphisms
  • Cohomology computation — structural invariants of the I Ching sheaf
  • Visualization — render the sheaf topology and cohomology groups

How It Fits

Part of the SuperInstance mathematical research into applied sheaf theory. Connects to sheaf-cohomology and sheaf-persistence-bundle for computational sheaf methods.

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MIT

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The I Ching as a sheaf-theoretic system: hexagram topology, cohomology of readings, categorical structure, tropical algebra, and persistent homology

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