
The truth about the golden ratio
All folders in this issue
The truth about the golden ratio
The golden ratio can be simply defined by the quadratic equation of which it is one of the roots. But its multiple geometric and arithmetic properties made it a mystical object at certain times. Discovered in ancient constructions or in our natural environment, it has even, under the name "divine proportion", been considered as the aesthetic canon of works of art, or even, since the Pythagoreans, as proof of the harmony of the world. This feature aims to place it back in an objective universe by separating the mathematical constructions, how clever they are, that it has allowed, from the deliriums of which it has sometimes been the object.
Mathematics and comics
Why would mathematics escape the ninth art? Comics are full of slightly zany scientists like Tryphon Tournesol, Professor Nimbus or the scholar Cosinus, sometimes inspired by famous scientists. Whether it's to tackle a character, a concept or a story, the graphic form adapts wonderfully to mathematical representations. Another approach, that of constrained drawings, is explored by the Oubapo, Ouvroir de bande dessinée potentielle. Let yourself be seduced by this teeming universe and discover the work of three iconic contemporary artists whom mathematics leaves unmoved: Marc-Antoine Mathieu, Midam and Étienne Lécroart.
All articles in this issue

The n-queens problem
Did you enjoy "The Queen's Gambit"? Then you should like this problem.

Algebra mourns: Jacques Tits has passed away
Belgian-born French mathematician Jacques Tits (1930–2021) passed away in early December.

Doing maths is good for the brain... it’s proven!
A brain trained in maths during youth is better equipped to reason correctly and guard against misinformation and stereotypes.

What makes us human: geometric intuition
Humans have possessed geometric intuition since the dawn of time—but do other primates share it? To find out, Mathias Sablé-Meyer proposes an experiment: identify the odd one out in a series of six quadrilaterals.

2021 Tangente Awards: the winners
As it does every year, the Tangente Awards ceremony was a highlight in the promotion of mathematics and the role literature plays in it. After the 2020 event was held remotely, the 2021 ceremony took place in person on December 16 at the Musée des Arts et Métiers. Meet the award-winning works and their authors.

Solving Molière's equations
While we wait for the "Maths and theatre" feature in our next issue, here is a short sketch that solves some equations posed by Molière, with incomplete information but under constraints. A teacher (of maths?) and an actor meet by chance...

Exceptional documentaries on Arte.tv
Arte.tv recently released a series of documentaries about mathematics. Not to be missed.

The evolution problem in general relativity
Einstein's equations of general relativity have returned to the spotlight in recent years. Progress has been made on the stability of Minkowski space and on the still-elusive cosmic censorship conjecture, formulated by 2020 Nobel laureate in physics Roger Penrose...






