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Chapter 29: checkerboard, counting, packing, and higher-dimensional tilings - #176
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October 12, 2026 09:39
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Extend Chapter 29, "Tiling rectangles," with the supplied Lean formalization. Add affine transformations of tilings, the checkerboard integral and lattice-corner counting proofs of the integer-side theorem, de Bruijn's packing corollary, and the higher-dimensional box theorem. Reuse a rectangle/interior almost-everywhere equality lemma in the existing integral proof.
Preserve the existing author credits, use targeted Mathlib imports, and retain the chapter's existing names with the repository's naming-lint annotations.
Validation on commit 5d21dc5: Lean compilation, declaration lint, style lint,
git diff --check, blueprint generation and declaration checks, and API documentation all pass. Full CI: https://github.com/mo271/FormalBook/actions/runs/38230252780.A source scan found no sorry/admit, new mathematical axioms, or native_decide in the supplied chapter. Complete chapter coverage and fidelity to the book have not been independently reviewed.