Science Fair Projects World

Exploring Fractals in Mathematics

by

in

Objective

Investigate the properties and patterns of fractals in mathematics.

Materials

  • Graph paper
  • Pencils and rulers
  • Computer with fractal-generating software (optional)
  • Notebook for recording data

Instructions

  1. Research common fractals, such as the Mandelbrot set and Sierpinski triangle.
  2. Draw or generate different fractals by following iterative steps.
  3. Observe and record the patterns that emerge at different scales.
  4. Analyze the self-similarity and scaling properties of the fractals.
  5. Present your findings in a report, discussing the mathematical significance and applications of fractals.