数学
探索数学概念的交互式可视化
105 个工具
FIR/IIR Filter Frequency Response - Interactive Visualization
Interactive FIR/IIR digital filter frequency response visualization with pole-zero plot, magnitude response (dB), phase response, group delay, and impulse response - design Lowpass, Highpass, Bandpass, Bandstop FIR filters, Butterworth IIR, Notch, and Resonator with adjustable order, cutoff frequency, and bandwidth. Drag poles and zeros in the z-plane to explore filter characteristics in real-time.
Lorenz Curve & Gini Coefficient - Interactive Visualization
Interactive Lorenz curve and Gini coefficient visualization for income and wealth inequality analysis - explore income distribution across population groups, drag curve points, view Gini coefficient, Palma ratio, 20:20 ratio, Robin Hood index, and compare real-world models (Nordic, US, Brazil, extreme inequality, Pareto 80/20)
Sorting Network Visualizer - Interactive Visualization
Interactive sorting network visualization with step-by-step animation - explore Bubble Sort, Odd-Even Merge (Batcher), Bitonic Sort, Insertion Sort, and Pairwise networks with adjustable input size, patterns, playback controls, depth/parallelism analysis, and comparison counting
Information Cascade Simulator - BHW Model Interactive Visualization
Interactive visualization of Information Cascade theory based on the Bikhchandani-Hirshleifer-Welch (1992) model - explore Bayesian sequential decisions, cascade formation, cascade fragility, herding behavior, financial bubbles, and real-world cascade scenarios with adjustable parameters
Costly Signaling Theory - Handicap Principle Interactive Visualizer
Interactive visualization of Costly Signaling Theory and the Handicap Principle - explore honest signaling, separating equilibrium, Grafen handicap model, Spence job market model, cost asymmetry effects, and equilibrium type transitions with adjustable parameters
Diffusion-Limited Aggregation (DLA) - Interactive Fractal Growth Visualization
Interactive Witten-Sander DLA simulation with Brownian motion walkers, irreversible aggregation, self-similar fractal structures, box-counting dimension estimation, multi-species color mode, adjustable emission rate and step size, and preset growth patterns
Moire Patterns - Interference Fringe Visualization
Interactive Moire pattern visualization - explore stunning interference fringes created by overlapping periodic patterns (parallel lines, concentric circles, grids, dot arrays). Drag on canvas to adjust angle and displacement, use presets for classic effects, and observe emergent beat patterns from wave superposition.
SCAPE Equity Curve - Tokenized Equity Growth Visualization
Interactive visualization of startup equity dilution and valuation growth across funding rounds. Simulate VC equity curves with adjustable ownership, dilution rate, valuation multiple, and rounds. Calculate MOIC (Multiple on Invested Capital), IRR (Internal Rate of Return), final ownership, and holding value. Features combined bar+line chart, 5 preset scenarios (Seed VC, Unicorn, Flat Round, Angel, Late Stage PE), and the dilution-valuation crossover effect.
Network Contagion (Granovetter's Threshold Model) - Interactive Visualization
Interactive visualization of Granovetter's threshold model of collective behavior on social networks. Explore how individual thresholds, network topology (Random ER, Small-World WS, Scale-Free BA), and initial adopters drive cascade propagation. Features force-directed network layout, step-by-step contagion animation, adoption curve tracking, and 5 preset scenarios demonstrating all-or-nothing outcomes.
Small-World Networks (Watts-Strogatz Model) - Interactive Visualization
Interactive visualization of the Watts-Strogatz small-world network model. Explore how a small amount of randomness creates shortcuts that dramatically reduce average path length while preserving clustering coefficient. Features force-directed network layout, the iconic C(p)/C(0) vs L(p)/L(0) dual-curve plot, preset scenarios from regular lattice to random graph, and sweep animation showing the small-world transition.
Percolation Phase Transition - Interactive Visualization
Interactive visualization of percolation phase transition on 2D square lattices. Explore how connected clusters emerge at the critical threshold p_c ~ 0.5927, observe spanning cluster formation, cluster size distributions, and the dramatic phase transition with adjustable occupation probability and grid size.
Epidemic on Network - SIR Model on Complex Networks
Interactive SIR epidemic model simulation on complex networks. Explore how network topology (random Erdos-Renyi, small-world Watts-Strogatz, scale-free Barabasi-Albert) affects disease spread dynamics with adjustable infection rate, recovery rate, node count, and average degree. Features force-directed network layout with colored SIR states, real-time SIR time series curves, click-to-infect interaction, and preset scenarios including superspreader and herd immunity.