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