“Philosophy is written in this grand book, the universe, which stands continually open before our eyes… It is written in the language of mathematics.” - Galileo Galilei

Every conic is a slice of the same cone.

The Fibonacci Spiral Clock.

Rotation matrices at work.

The Aizawa attractor: It's a distinctive three-dimensional chaotic shape traced out by a system of three nonlinear differential equations with six parameters.

Pythagorean theorem, written on the unit circle: sin²θ + cos²θ = 1.

"The eternal silence of these infinite spaces frightens me." - Blaise Pascal

Fibonacci: From curves to cubes and back to curves.

Solving a Rubik's Cube with graph theory.

The golden spiral, set in motion.

a³−b³ = (a−b)(a²+ab+b²)

(a + b + c)² = a² + b² + c² + 2(ab + ac + bc)

A plane sliding through a double cone traces every conic section.

Fractal Spirograph.

Sine and cosine are the same wave seen from a different perspective.

Sine and Cosine waves are...nothing but the shadows of a spinning circle.

In 1963, mathematician Stanislaw Ulam got bored during a meeting and started doodling a grid spiral of sequential numbers. By highlighting only the primes, he uncovered what remains one of the most mesmerising visual mysteries in number theory: the Ulam Spiral.

The oldest known use of zero. Found in an Indian inscription inside the Chaturbhuj Temple of the Gwalior fortress in Madhya Pradesh, India. You see the "270" appearing on line 2, just right of centre.

Mathematical Dance.

Newton’s Cradle: it’s pure physics in action!