Fields We Orbit
Explore the branches of mathematics we cover in our sessions, from the structure of integers to the mathematics of infinite complexity.
Where curiosity leads.
Fractals & Chaos Theory
Fractals arise from iterating simple rules indefinitely. The Mandelbrot set, one of the most complex objects in mathematics, emerges from a single equation: z → z² + c.
Chaos theory shows that deterministic systems can still produce unpredictable outcomes, often described as the butterfly effect. Weather, ecosystems, and financial markets are all chaotic in this precise sense.
The Mandelbrot set has infinite perimeter but finite area, and fractal antennas inspired by it are used in modern smartphones.
Mathematics is one unified story.
One of the most beautiful aspects of mathematics is how separate-seeming fields are deeply intertwined.
Prime number properties are the mathematical foundation of RSA encryption, the algorithm securing HTTPS connections across the internet.
Both study structure and connectivity: one through continuous deformation, the other through discrete networks.
Chaos theory reveals how deterministic rules can generate unpredictable behavior, bridging fractal geometry and probabilistic thinking.