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3 Pure Mathematics projects

Pure Mathematics · Geometry

Prove the Pythagorean theorem five ways

Build paper dissections and algebraic proofs of the theorem and compare how each convinces.

InvestigationHousehold materialsFull guide

  • Easy
  • 2–7 days
  • Under 250

Pure Mathematics + Programming

Visualise fractals with code

Draw the Koch snowflake, Sierpinski triangle and Mandelbrot set and measure a fractal dimension.

VisualizationComputer only

  • Intermediate
  • 2–7 days
  • Free

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