Math Pulse

This is an elegant way to simulate falling sand: Define simple rules for all 16 possible 2×2 grids and let a cellular automaton do the rest! Watch the grains cascade, spread, and pile up realistically.

You can FILL this infinite horn with finite paint… but you’ll NEVER finish painting its surface. Meet Gabriel’s Horn Finite volume. Infinite area. The math paradox that breaks your brain.

"Real mathematics must be justified as art if it can be justified at all." — G.H. Hardy

Math skills you need in your life's stages

Want to know if a maze is solvable without tracing? Hang it by its top corners! If the walls stay connected → no path from entrance to exit. If it splits apart → solution found! Pure topology in action.

Pendulum waves X Hirajoshi scale Each sphere oscillates at a frequency tuned to one note of this Japanese pentatonic scale: C, D, Eb, G, Ab.

No rotors. No wings. Just shaped thrust. A monocoque drone that turns its hull into microjet nozzles for full vector control. Pure math + physics in one stunning simulation. Future of flight?

Pythagoras of Samos, 569 BC wrote: a² + b² = c²

Your favorite Pringle isn't just a chip, it's a living hyperbolic paraboloid!

From 3 sides to 96+: see polygons smooth into circle-like perfection under collision pressure, shrinking away in this hypnotic math simulation that proves the limit is never reached.

The Hypnotic Allure of Fractal Spirographs

But in my opinion, all things in nature occur mathematically. — Rene Decartes

The sooner the better

Any shape can be drawn with circles. This Fourier Transform animation uses rotating epicycles (vectors on circles of different frequencies/amplitudes) to trace the Twitter bird logo. FYI: Fourier series can approximate any continuous periodic function

max⁡(∣x∣,∣y∣,∣z∣,∣w∣)=1 2D projection Of a 3D Shadow By a 4D Tesseract

Randomness creates order? Start inside a hexagon. Pick a random edge, form a triangle with your current point, jump to its center… and repeat thousands of times. Watch incredible fractal patterns emerge from pure chance!

Ramanujan was deeply religious and believed that many of his mathematical insights came through divine inspiration. He often said that the Hindu goddess Namagiri Thayar revealed mathematical formulas to him in dreams or visions.

"A fractal is a way of seeing infinity." — Benoit Mandelbrot