Challenge

Build Fractals

Dendritic manganese oxide on a limestone plate.
Dendritic manganese oxide on a limestone plate.

Build branching trees and shapes that repeat at different scales.

  • What is scaling symmetry? What are the different categories of fractal?
  • Who was Niels Fabian Helge von Koch? What rules did he use to construct his snowflake shape?
  • What is a Menger Sponge, a Mosely Snowflake, and a Sierpiński Sieve? What repeated rules yield these forms?
  • Where do fractals appear in nature? And in engineering?
  • How can you use code to explore fractals with different rules and parameters? How can you use graphics, color and animation to illustrate the process?

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