Power Systems Reactive Power - Truck This reactive power metaphor uses a truck-and-hill analogy to explain system efficiency. Active power is the useful work, shown as packages being delivered... Reactive Power - Particle Flow This reactive power metaphor uses flowing particles to visualize electrical concepts. Useful active power is shown as blue particles moving directly to the load... Braess's Paradox Braess's Paradox is the counter-intuitive observation that removing capacity from a network, can paradoxically increase the network's overall performance. Math Polya's Urn 🏺 This interactive tool simulates Polya's Urn, a classic probability model demonstrating the "rich-get-richer" phenomenon... Sierpinski Triangle This visualization demonstrates the Chaos Game, a stochastic process that beautifully generates the deterministic fractal known as the Sierpinski Triangle. Euler's Identity Euler's Identity, $e^{i\pi} + 1 = 0$, often feels like a cryptic puzzle... This visualization reveals that story, showing how constant "sideways growth"...