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World 4 · Snowflakes and Kaleidoscopes · 12 min · PRO

Kaleidoscopes: mirrors at an angle

How the angle between two mirrors sets the pattern

PRO · Symmetry & Fractals

World 4: Snowflakes and Kaleidoscopes 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.

  • Why six arms?
  • Temperature, humidity and shape
  • Fold and cut: paper snowflakes
  • Self-similarity and iteration
  • The perimeter that runs away
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  • Practice exams and certificates

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