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Hilbert marble run

Here is a marble run inspired by the famously known Hilbert space filling curves, with this you are able to 3d print lego compatible marble run of any size.

There are 6 different models necessary to build every iteration wanted; each of them is based on the 2nd iteration of the Hilbert curves.

Solide spiral de Pascal (et son complémentaire dans le cône)

On partage un cône en deux selon un cylindre appuyé sur un rayon et une spirale d’Archimède. Dans une lettre de 1658, Blaise Pascal étudie le solide central et trouve que son volume est une fraction exacte de celui du cône.

Pour le quadricentenaire de la naissance de Blaise Pascal, Thierry Lambre (IREM Clermont-Ferrand) reprend les détails du calcul et l’histoire associée.

Sur sa suggestion, Alba Málaga et Samuel Lelièvre le modélisent sur ordinateur lors du Fabrikathon de Nancy 2023.

Transition from 3-branched to 5-branched spirals in the Rock-Paper-Scissors-Lizard-Spock equation on the sphere

Solution of a reaction-diffusion equation involving five chemicals, each of them dominating two others. There are two interaction parameters, which are equal at the beginning of the simulation. As one of them decreases to zero, spirals with 5 branches appear.

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