Interactive Math & Physics

📐

Pascal's Triangle

Explore the fascinating patterns and properties of Pascal's triangle through interactive visualization.

🌀

Fibonacci Sequence

Discover the golden ratio and spiral patterns in nature through the Fibonacci sequence.

🔍

Prime Number Visualizer

Visualize prime numbers and discover patterns in their distribution across number systems.

🎂

Birthday Paradox

Explore the counterintuitive probability theory behind the famous birthday paradox.

🚪

Monty Hall Problem

Interactive simulation of the classic probability puzzle that challenges intuition.

📊

Kelly Criterion

Learn about optimal betting strategies and risk management through mathematical modeling.

📈

Benford's Law

Discover the surprising frequency distribution of leading digits in real-world datasets.

📏

Buffon's Needle Problem

Estimate π through geometric probability using the classic needle-dropping experiment.

🎯

Monte Carlo Pi Estimation

Use random sampling to estimate π by throwing points at a circle within a square.

∞

Pi Approximation Series

Explore different infinite series that converge to π, including Leibniz, Nilakantha, and Ramanujan series.

⭕

Pi in Geometry

Interactive exploration of how π appears in circles, spheres, and geometric formulas.

🎨

Pi Digit Visualization

Visualize the digits of π through colorful patterns in grid, spiral, and wave formats.

✖️

Wallis Product for Pi

Discover John Wallis's infinite product formula for π and watch it converge step by step.

🌊

Quantum Superposition

Visualize the fundamental principle where particles exist in multiple states simultaneously.

🔗

Quantum Entanglement

Explore the "spooky action at a distance" phenomenon that Einstein found troubling.

🧮

Schrödinger Equation

Interactive exploration of the fundamental equation governing quantum mechanical systems.

💻

Quantum Computing Basics

Learn the fundamentals of quantum computing and quantum information processing.

📡

Quantum Teleportation

Understand how quantum information can be transmitted across arbitrary distances.

🕳️

Black Hole 3D

3D visualization of black holes and their effects on spacetime geometry.

🚧

Quantum Tunneling

Explore how particles can pass through energy barriers that are classically insurmountable.

🌊

Wave-Particle Duality

Discover how quantum objects exhibit both wave-like and particle-like properties.

🎯

Double Slit Experiment

Experience the famous experiment that reveals the mysterious nature of quantum mechanics.

❓

Heisenberg Uncertainty Principle

Understand the fundamental limit on simultaneously knowing position and momentum of particles.

🔀

Bell's Inequality

Explore quantum non-locality and how nature violates classical intuitions about reality.