├── .github └── workflows │ └── update_status_image.yml ├── .gitignore ├── CONTRIBUTING.md ├── LICENSE ├── README.md ├── experiments ├── autocorrelation_problems │ └── autocorrelation_problems.ipynb ├── classical_inequalities │ └── classical_inequalities.ipynb ├── difference_bases │ └── difference_bases.ipynb ├── edges_vs_triangles │ └── edges_vs_triangles.ipynb ├── equidistant_points_in_convex_polygons │ └── Equidistant_points_in_convex_polygons.ipynb ├── erdos_szekeres_happy_ending_problem │ └── happy_ending_problem.ipynb ├── finite_field_kakeya_problem │ ├── deep_think_docs │ │ ├── 4D_kakeya_deepthink_proof_with_references.pdf │ │ ├── kakeya1.tex │ │ └── kakeya2.tex │ ├── finite_field_kakeya.ipynb │ └── lean_proof │ │ ├── kakeya.lean │ │ ├── lake-manifest.json │ │ ├── lakefile.toml │ │ └── lean-toolchain ├── finite_field_nikodym_problem │ ├── deep_think_docs │ │ ├── nikodym.tex │ │ ├── nikodym1.tex │ │ ├── nikodym2.tex │ │ ├── nikodym3.tex │ │ ├── nikodym4.tex │ │ ├── nikodym5.tex │ │ ├── nikodym6.tex │ │ ├── nikodym7.tex │ │ └── nikodym8.tex │ └── finite_field_nikodym.ipynb ├── finite_field_sum_product_problem │ ├── deep_think_docs │ │ ├── sum_product1.tex │ │ └── sum_product2.tex │ └── finite_field_sum_product.ipynb ├── flat_polynomials │ └── flat_polynomials.ipynb ├── imo_2025_p6 │ └── imo_2025_p6.ipynb ├── kakeya_needle_2d │ └── kakeya_needle_2d.ipynb ├── kakeya_needle_3d │ └── kakeya_needle_3d.ipynb ├── kissing_cylinders │ └── kissing_cylinders.ipynb ├── no_5_on_a_sphere │ └── no_5_on_a_sphere.ipynb ├── ovals_problem │ └── ovals_problem.ipynb ├── packing_circles_max_sum_of_radii │ └── packing_circle_max_sum_of_radii.ipynb ├── packing_unit_cubes │ └── packing_unit_cubes.ipynb ├── prime_number_theorem │ └── prime_number_theorem.ipynb ├── ring_loading_problem │ └── ring_loading_problem.ipynb ├── sphere_packing_uncertainty_principles │ └── sphere_packing_uncertainty_principles.ipynb ├── spherical_t_designs │ └── spherical_t_designs.ipynb ├── subsets_of_the_grid_with_no_isosceles_triangles │ └── no_isosceles_triangles.ipynb ├── sums_differences_problems │ └── sums_differences_problems.ipynb ├── tammes_problem │ └── tammes_problem.ipynb ├── the_2d_moving_sofa │ └── the_2d_moving_sofa.ipynb ├── the_3d_moving_sofa │ ├── 3d_moving_sofa_baseline_volumes.nb │ └── the_3d_moving_sofa.ipynb └── thomson_problem │ └── thomson_problem.ipynb ├── generate_image.py ├── problems ├── 1.html ├── 10.html ├── 11.html ├── 12.html ├── 13.html ├── 14.html ├── 15.html ├── 16.html ├── 17.html ├── 18.html ├── 19.html ├── 2.html ├── 20.html ├── 21.html ├── 22.html ├── 23.html ├── 24.html ├── 25.html ├── 26.html ├── 27.html ├── 28.html ├── 29.html ├── 3.html ├── 30.html ├── 31.html ├── 32.html ├── 33.html ├── 34.html ├── 35.html ├── 36.html ├── 37.html ├── 38.html ├── 39.html ├── 4.html ├── 40.html ├── 41.html ├── 42.html ├── 43.html ├── 44.html ├── 45.html ├── 46.html ├── 47.html ├── 48.html ├── 49.html ├── 5.html ├── 50.html ├── 51.html ├── 52.html 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