I love fractals. What surprised me recently was to learn how new the idea of fractals and the associated math are.
“Back in the 1960’s, a French mathematician named Benoit Mandelbrot started thinking about simple pretty simple: How long is the coast of Britain? Sure, it seems easy enough… But, think about how you’d really measure it… In 1975, he made up the word “fractal” because he thought these figures would look fractured or broken up. It wasn’t until he had a computer that he could SEE a picture of what he’d been thinking about!”
“A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same “type” of structures must appear on all scales.”
“Today scientists, mathematicians,and artists are embracing the idea of Fractals. Snowflakes are examples of fractals in nature. Fractals are patterns that are self similar within itself. The best way to understand Fractals is to actually create a fractal. Koch’s Snowflake Curve is an example of a fractal. “
Fractals — An introduction, A Process to Generate Fractals. A bit of Fractal Math…
A Fractals Unit for Elementary and Middle School Students
also see… Fractal