Mandelbrot, Benoit on Superphysics

Introduction

Tue, 04 Nov 2025 00:00:00 +0000

THE FRACTAL GEOMETRY OF NATURE

Benoit B. Mandelbrot

Introduction

THEME

Why is geometry often described as “cold” and “dry?” One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.

The Irregular and Fragmented in Nature

Tue, 04 Nov 2025 00:00:00 +0000

Jean Perrin

familiar motions this view appears true enough, do not see that it involves considerable difficulties.

Mathematicians know that it is childish to try to show by drawing curves that every continuous function has a derivative.

The Irregular and Fragmented in Nature

Tue, 04 Nov 2025 00:00:00 +0000