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World 6 · Fractal Dimension and Fractals in Nature · 12 min · PRO

Koch, Sierpinski, Menger: non-integer dimensions

The dimension table

PRO · Symmetry & Fractals

World 6: Fractal Dimension and Fractals in Nature is part of PRO

The first world of Symmetry & Fractals is free. PRO opens the other 24 lessons in 6 worlds — simulations, quizzes and all.

  • What does dimension mean?
  • How long is a coastline?
  • Fractals in nature, and the Fibonacci myths
  • Iterating z → z² + c
  • The Mandelbrot set
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