Mathematics Lab
Discover mathematics through interactive simulations. Explore geometry, probability, fractals, and calculus concepts with free visual experiments for students of all levels.
Pythagorean Theorem Visualizer
Interactive visual proof of the Pythagorean theorem (a² + b² = c²) using the rearrangement method. Drag and rotate squares to see how areas combine, perfect for understanding geometric proofs.
Galton Board Simulator
Simulate the Central Limit Theorem and Normal Distribution using a Galton board. Watch balls bounce through pegs to form a bell curve, and understand how random events create predictable patterns.
Monte Carlo Simulation & Pi Estimator
Estimate Pi using Monte Carlo random sampling. Drop points randomly in a square containing a quarter circle, calculate the ratio, and watch the estimate converge to π as sample size increases.
Riemann Integral Visualizer
Explore the definition of the definite integral using left, right, and midpoint Riemann sums. Visualize how increasing rectangles approach the exact area under a curve.
Koch Snowflake Generator
Explore the construction of the Koch snowflake fractal and its paradoxical properties—infinite perimeter enclosing finite area. Adjust iteration levels to see the fractal pattern emerge.
Compound Interest: The Magic of Time
Compare an 'Early Bird' and a 'Diligent Saver' to witness the amazing power of compound interest—starting early beats saving more.
Compound Interest: Regular Savings
Visualize how compound interest accumulates over time to create wealth. Compare different interest rates and contribution amounts to understand the exponential growth of regular savings.
Menger Sponge Generator
Explore the Menger Sponge, a fascinating 3D fractal with infinite surface area and zero volume. Rotate the interactive model and increase iteration levels to discover its self-similar structure.
A4 Paper: The Ratio Secret
Interactive simulation exploring A-series paper's aspect ratio. Learn why A3 folds into A4, discover self-similarity, and understand irrational numbers in real life.
Circle Area Formula Derivation
Interactive math simulation: Visualize the derivation of Area = πr² by transforming a circle into a rectangle. Understand the limit concept intuitively.
Multiplication Enlightenment: The Magic Orchard
Interactive Math for Elementary: Visualize repeated addition vs multiplication and commutative property via basket counting and array arranging.
Division Visualized: Fair Share & Packing
Free interactive math experiment: Understand the two meanings of division through an apple-sharing game—Fair Share (given groups, find per group) and Packing (given per group, find groups). Visualize dividend ÷ divisor = quotient...remainder. Grades 2-4.