Designing complete maps

Apparaît dans la collection : Illustration as a Mathematical Research Technique / La recherche mathématique par le biais de l'illustration

The "other map coloring theorem" proved by Gerhard Ringel and John William Theodore Youngs in the late 1960s - before the four color theorem - gives the chromatic number X of a closed orientable surface in terms of its genus. It does not tell how to actually design a maximal complete map on a given surface, that is a map with exactly X regions such that every pair of regions shares a boundary line. I will recount my quest for such maps on the Rulpidon, a genus-3 surface designed by the French sculptor Ulysse Lacoste.

Informations sur la vidéo

Date de captation 08/01/2026
Date de publication 20/01/2026
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20432003
Citer cette vidéo Benzoni-Gavage, Sylvie (08/01/2026). Designing complete maps. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20432003
URL https://dx.doi.org/10.24350/CIRM.V.20432003

Domaine(s)

Bibliographie

Sylvie Benzoni-Gavage: Le Rulpidon sous toutes ses coutures, Dunod 2024 - https://www.dunod.com/sciences-techniques/rulpidon-sous-toutes-ses-coutures-une-aventure-mathematique-et-artistique
- Sylvie Benzoni-Gavage and Rémi Coulon: Le dessous des cartes du rulpidon, Pour la science, mars 2024 - https://www.pourlascience.fr/sd/mathematiques/le-dessous-des-cartes-du-rulpidon-26238.php
Ringel, Gerhard: Map color theorem. Die Grundlehren der mathematischen Wissenschaften. 209. Berlin-Heidelberg-New York: Springer-Verlag. XII, 191(1974). -