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World 4 · Snowflakes and Kaleidoscopes · 12 min · PRO

Temperature, humidity and shape

The Nakaya diagram, and “no two snowflakes are alike”

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?
  • Kaleidoscopes: mirrors at an angle
  • Fold and cut: paper snowflakes
  • Self-similarity and iteration
  • The perimeter that runs away
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  • All 60 labs — every world, every lesson
  • Practice exams and certificates

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