Simulations & visualizations
Interactive. Play with the mathematics.
Every tool is browser-native — Canvas and vanilla JavaScript, no tracking, no external dependencies. Slide, drag, drop, and watch how the mathematics responds in real time.
Simulations
Stochastic processes you can run live.
Collatz Trajectory
Enter a starting integer and plot the 3n+1 trajectory.
Open on its page → SimulationSieve of Eratosthenes
Animated sieve on a 10×10 number grid — see primes emerge.
Open on its page → SimulationMonte-Carlo π
Estimate π by sampling random points and counting hits in the unit disk.
Open tool → SimulationGalton Board
Drop balls through a peg array and watch the binomial distribution emerge.
Open tool →Visualizations
See the mathematics.
Unit Circle Explorer
Slide θ and watch the point e^(iθ) trace the complex unit circle.
Open on its page → VisualizationFourier Synthesizer
Build square, sawtooth, and triangle waves from sine harmonics.
Open on its page → VisualizationPythagorean Triangle
Drag a right triangle and see the squares on its three sides.
Open on its page → VisualizationGaussian Distribution
Slider for μ and σ — see how the bell curve and its 68-95-99.7 bands change.
Open on its page → VisualizationQuadratic Explorer
Sliders for a, b, c — track the parabola, its vertex, roots, and discriminant.
Open on its page → VisualizationLorenz Attractor
Edward Lorenz's 1963 chaotic system — adjust σ, ρ, β and watch the butterfly.
Open tool → VisualizationComplex Domain Coloring
Visualize f: ℂ → ℂ via hue and brightness. Includes z², 1/z, sin z, and more.
Open tool →