the.com/fractals
shapes so stubborn they look exactly the same no matter how far you zoom in.
means a pattern that repeats its own structure at every scale, so the part looks like the whole.
from coined in 1975 by mathematician benoit mandelbrot from the latin fractus, meaning broken or fractured, to describe shapes too rough for ordinary geometry.
coined bybenoit mandelbrot, ibm researcher, 1975
infinite coastlinebritain's coastline length depends entirely on your ruler
dimension mathfractals can have dimension 1.26, not a whole number
nature's favoritelungs, rivers, ferns, lightning all use them
for instance
mandelbrot set — the iconic black bulb with infinite zoomable spirals, plotted 1980
romanesco broccoli — a vegetable where each floret repeats the whole spiral
koch snowflake — 1904 curve with infinite perimeter around finite area
sierpinski triangle — a triangle made of smaller triangles made of smaller triangles