Visualizations

Interactive mathematical, physics, and chemistry visualizations

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Math Visualizations 60

Burning Ship Fractal - Fractal Explorer

Explore a variant of the Mandelbrot set - unique flame shape through absolute value transformation

📐 Math

Replicator Dynamics Visualizer

Interactive exploration of evolutionary game dynamics on the simplex

📐 Math

Entropy / KL Divergence

Interactive teaching demo for entropy, cross-entropy, and KL divergence with real-time parameter control.

📐 Math

Markov Chains and Stationary Distributions

Explore probability flow, convergence to equilibrium, and the mathematics of Markov processes

📐 Math

PCA and Eigenvectors Visualization

Interactive visualization of Principal Component Analysis, covariance ellipses, and eigenvectors for understanding dimensionality reduction through geometric interpretation

📐 Math

Wavelet Transform & Multiresolution Analysis

Interactive visualization of continuous and discrete wavelet transform, scalograms, and multi-resolution analysis

📐 Math

Sampling Theorem & Aliasing Visualization

Interactive visualization of the Nyquist-Shannon sampling theorem and aliasing phenomenon

📐 Math

Convolution Interactive Visualization

Interactive demonstration of convolution: flip, slide, multiply, sum process in time and frequency domains

📐 Math

Gradient Descent / Newton Method

Animated comparison of optimization trajectories on 2D objectives

📐 Math

Cross-Entropy Loss Visualization

Interactive exploration of the most commonly used loss function in machine learning

📐 Math

Newton Fractal / 牛顿分形

Newton's method iterative fractal - Basin of attraction visualization on complex plane

📐 Math

Backpropagation Deep Dive

Understand BP systematically from history, math derivation, intuition, and engineering practice.

📐 Math