Maths in action

Concepts and theory, visualized. Simply, act to know.

📖 Read the Physics Details & Theory Guide for a deep dive into the quantum mechanics and theoretical math powering these simulations.

👉 Play the Live Demo here!

A Galton board shows how a bell curve forms over time from simple random choices for a ball to go left or right. This simulation visualizes the Central Limit Theorem in real-time, featuring a mathematical "ghost curve" overlay and live Z-score heatmap coloring.

This simulator runs fully in your browser, as a single HTML page.

• To run locally: Download the source file, usually right click and "save link as".

• Drag-and-drop the downloaded file into a new tab in your browser.

  This loads the page and runs the code.

• Press the Spacebar or tap the board a few times to drop a ball. Hold it down to drop a stream.

  Turn on your sound.

• To make changes visible only to you:

  • modify the downloaded file in your favorite editor
  • save and reload the tab in your browser

👉 Play the Live Demo here!

The Double-slit experiment demonstrates wave-particle duality, showing how probability dictates quantum mechanics.

This interactive simulation visualizes the intense math behind wave interference and particle distribution using pure, native browser APIs.

• To run locally: Download the source file, usually right click and "save link as".
• Drag-and-drop the downloaded file into a new tab in your browser.
• Click Fire Single Photon to shoot one particle at the screen.
• Click Toggle Continuous Stream to watch the classical interference pattern organically build up over time.
• Click Toggle Wave View to visualize the invisible, overlapping ripples causing the pattern.
• Adjust the Wavelength ($\lambda$) and Slit Separation ($d$) sliders to instantly see the math update the live probability distribution graph!

👉 Play the Live Demo here!

This immersive 3D simulation explores the exact moment of wavefunction collapse. By scaling the thought experiment up to astronomical proportions (1 AU), it visualizes how a 3-dimensional probability wave propagates outwardly from a star before instantly collapsing into a single, localized particle upon interacting with a massive detector shell.

Built entirely in the browser using Three.js, it natively handles complex 3D rendering and particle math.

• To run locally: Download the source file, usually right click and "save link as".
• Drag-and-drop the downloaded file into a new tab in your browser.
• Use Left-Click to Rotate, Right-Click to Pan, and Scroll to Zoom to explore the 3D space.
• Hit Spacebar to fire expanding probability waves from the central star.
• Watch the moment of detection trigger a brilliant, expanding flash on the wireframe shell.

👉 Play the Live Demo here!

A conceptual expansion of the Dyson Sphere simulator that visually answers the question: What happens when a probability wave hits an object but doesn't collapse?

This simulator places an intermediate planet halfway between the star and the Dyson Sphere. As the probability wave sweeps over the planet, the physics engine rolls a 100-sided die based on the planet's surface area.

• If it hits (15% chance): The massive wave instantly collapses and flashes entirely onto the planet.

• If it misses (85% chance): The wave completely ignores the planet and passes through unharmed, collapsing "elsewhere" on the outer Dyson shell.

• To run locally: Download the source file, usually right click and "save link as".

• Drag-and-drop the downloaded file into a new tab in your browser.