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Provide a comprehensive overview of the mathematical principles and algorithms used to create intricate fractalbased geometric patterns
dayalguru- fractals
- algorithms
- geometric patterns
- iteration
- fractal design
- computational art
- chaos theory
- mandelbrot set
- julia set
- fractal geometry
- algorithmic art
- mathematical principles
- complex systems
- generative algorithms
- mathematical representation
- geometric complexity
- mathematical beauty
- selfsimilarity
- mathematical modeling
- visual complexity
- mathematical abstraction
- mathematical algorithms
- mathematical structures
- algorithmic complexity
- mathematical visualization
- computational geometry
- fractal patterns in nature
- computational aesthetics
- mathematical exploration
- complex dynamics
- mathematical artistry
- recursive patterns
- visual mathematics
- fractalbased geometric patterns
- recursive algorithms
- mathematical recursion
- iterative processes
- selfreplication
- mathematical modeling in art
- iterative function systems
- lindenmayer systems
- deterministic chaos
- mathematical creativity
- fractal visualization
- mathematical abstraction in design
- fractal generation
- mathematical creativity in design
- fractal algorithms overview