hausdorff-dimension

An algebraic framework for the discovery and analysis of self-affine tiles and fractal structures.

estimating the Hausdorff Dimension of a 2D image

Interactive Kakeya Conjecture visualizer (2D + 3D) with bilingual explanations and an authoritative formula collection | 挂谷猜想可视化

All the code I used for my mathematics extended essay about fractal dimensions and their real-world applications.

Code, data, figures and manuscript for "Uncomputable Fractal Dimensions, Kolmogorov Complexity Cascades, and the Chaitin Barrier in Physical Systems" (R. Chen, 2026).

Formalizes the 3D Kakeya conjecture in Lean 4, proving every compact set with unit segments in all directions has Hausdorff dimension three.