Understanding network effects and pricing strategies in platform economics - Interactive exploration of network externalities, skewed pricing, and growth flywheel

Math

IFS Iterated Function Systems

Explore the generative art of self-similar fractals using chaos game and deterministic iteration methods

Math

Attractor Basin / 吸引子盆地

Visualization of basins of attraction for multiple attractors on the complex plane

Math

Complex Exponential Mapping - Complex Plane Iterative Fractal

Explore the periodicity and spiral structures of complex exponential mapping fractals

Math

Fifth Consumption Era - Interactive Visualization

Explore the Fifth Consumption Era (2021-2043) - From material accumulation to spiritual fulfillment and well-being

Math

Narrative Economics - SIR Model

Interactive visualization of how economic narratives spread like epidemics using the SIR model

Math

Multibrot Set - Polynomial Iteration Family

Explore the generalization of Mandelbrot set - z_{n+1}=z_n^p+c

Math

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