Category Archives: Fractals

Who Invented Lichtenberg (Fractal) Wood Burning?

Fractal wood burning of a table with lichtenberg electrical patterns

Have you ever seen a tree-like pattern (fractal) on a piece of wood? These patterns are drawn by an embellishing technique known as Lichtenberg (Fractal) Wood Burning. The technique utilizes a high-voltage electric current to burn the layers of wood and expose the fractal patterns buried inside. Do you wonder who invented this dangerous technique

How Do Fractals Appear in Nature? 10 Outstanding Examples

Ferns showing a fractal pattern in nature

Fractals are complex and eye-catching shapes that are composed of parts that appear to be a smaller version of the whole. If you look closely, you’ll see examples of these shapes everywhere in natural systems. How do fractals appear in nature? Fractal shapes appear in nature as ferns, trees, snowflakes, lightning, plant shapes, river deltas,

Complete List of Books by Benoit Mandelbrot

A headshot of the father of fractals Benoit Mandelbrot

Benoit Mandelbrot was a famous mathematician who changed the way people viewed and interacted with the shapes and geometry of the world. His life-long work developing and harnessing a field called fractal geometry saw wide-ranging influences across the physical and theoretical world. Today we’re going to be looking at Benoit Mandelbrot: who he is, what

Are Fractals or Fractal Curves Differentiable?

A warning sign for a slippery slope

Differentiability could be a scary-sounding term, but like a lot of math topics once you learn the term it seems simple. It just takes practice! Since I learned about differentiability, I’ve had 100s of hours of experience with it in my engineering career. As a whole, pure mathematical fractals are not differentiable, however real-life objects

Fractals in Art: A Deep Dive

Fractal Mandelbrot Set Zoom Blue Colors

Fractals are the confluence of mathematics and art. Found throughout nature, these self-similar patterns are endlessly fascinating, with a wide range of applications. Fractals have influenced technology, medicine, finances, and, yes, art. Today we’re going to do a deep dive on fractals: what they are, their history, and what makes them so satisfying to look