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Pure Mathematics projects 4

Patterns, proofs and constructions in algebra, geometry, number theory and calculus.

4 Pure Mathematics projects

Pure Mathematics + Cybersecurity

Break a secret with number theory: how RSA works

Encrypt and decrypt a message with small primes by hand, then in code, and see why large primes matter.

InvestigationComputer onlyFull guide

  • Advanced
  • 1–2 weeks
  • Free

Pure Mathematics · Calculus

Find the best shape for a container

Find the dimensions of a can that hold a fixed volume with the least material, and compare with real cans.

InvestigationHousehold materials

  • Intermediate
  • 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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