Projective geometry is an important mathematical discovery that goes back to the work of Desargues in the XVIIth century.

A space filling curve is a continuous map $\gamma \colon [0,1] \to \mathbb R^n$ whose range reaches every point in a higher dimensional …

A Sylvester machine is a mechanical linkage realizing a directe similarlity . If the user sketches a figure with one pen, the other …

A pantograph is a device realizing a homothety. If a user draws a figure with one of the pens, the other pens will reproduce it dilated …

This “paradox” was explain to me by a colleague. Take a square whose side have length $1$ (on blue on the figure below) and …

In his work on 3-dimensional manifold Thurston proved that there are exactly 8 “geometries” that serve as model for any compact three …

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The Penrose tilings is a quasi-periodic tilings. Every finite pattern that you can find will show up infinitely many times. …

The Cantor set is one of the simplest fractal object. Its ternary representation is obtained by a recursive procedure: start with a …

The Uniformization Theorem of complex analysis tells us that there are three important two-dimensional geometries: hyperbolic, …

A (single) pendulum is a standard object studied in every mechanics textbook. Its tidy behavior is advantageously used to punctuate …