Educational Demos
Deep-dive learning experiences with interactive visualizations, mathematical foundations, and real-world applications
10 enhanced demonstrations
Learn Through Interaction
Each educational demo features comprehensive learning materials including mathematical theory, step-by-step algorithms, real-world applications, and guided exploration. The collapsible educational panels let you learn at your own pace while experimenting with the simulations.
Mathematical Theory
Equations, derivations, and key concepts explained
Algorithm Breakdown
Step-by-step implementation with pseudocode
Real Applications
How these concepts apply in science and industry
Guided Exploration
Interactive tutorials to discover key phenomena
Double Pendulum
Explore chaos theory through this iconic demonstration. Learn why tiny changes lead to dramatically different outcomes and discover the Lyapunov exponent.
Mandelbrot Set
Journey into the infinite complexity of fractals. Understand complex number iteration, escape time algorithms, and self-similarity at every scale.
Boids Flocking
Witness emergence in action as simple local rules create complex global behavior. Learn the three rules that govern flocking, swarming, and schooling.
Reaction-Diffusion
Create biological patterns from pure mathematics. Explore the Gray-Scott model and understand how Turing patterns form in nature.
Conway's Game of Life
Discover computational universality in the simplest cellular automaton. Learn about still lifes, oscillators, spaceships, and Turing completeness.
Fourier Epicycles
Visualize how any shape can be drawn with rotating circles. Understand the Discrete Fourier Transform through beautiful geometry.
Lorenz Attractor
The butterfly effect visualized. Explore deterministic chaos in weather modeling and understand strange attractors.
N-Body Gravity
Simulate celestial mechanics with Newton's laws. Learn about orbital dynamics, conservation laws, and numerical integration methods.
L-Systems
Grow fractal plants with formal grammars. Understand rewriting systems, turtle graphics, and the mathematics of botanical forms.
Voronoi Diagrams
Partition space based on nearest neighbors. Explore computational geometry and discover Voronoi patterns in nature and design.