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World 5 · The Koch Snowflake · 11 min · PRO

The perimeter that runs away

A geometric sequence that grows without limit

PRO · Symmetry & Fractals

World 5: The Koch Snowflake 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.

  • Self-similarity and iteration
  • The area that stays finite
  • Sierpinski: when volume vanishes
  • What does dimension mean?
  • Koch, Sierpinski, Menger: non-integer dimensions
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  • Practice exams and certificates

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