Foundations of Fractals

Mathematicians delved into the complexities of calculus and geometry, paving the way for fractal geometry. Leibniz's fascination with recursive patterns foreshadowed the self-similarity principles, while Weierstrass's groundbreaking function challenged traditional notions of continuity and differentiability. The Cantor set, introduced by Cantor, exemplified self-similarity, and Poincare's work laid the groundwork for chaos theory, revealing deep connections with fractals.