Mathematical lactoedron surface

En résumé (grâce à un LLM libre auto-hébergé)

  • The lacteal surface is a mathematical surface first described in 1956 by Grossman.
  • Its existence had been conjectured by Hilbert, as mentioned in his correspondences.
  • Parametric representations exist, but an implicit equation remains to be found.

Polyhedral version

Lactoedron

The first description of the lactoedron was given in 1956 by Grossman, but it is known that its existence had been conjectured by Hilbert, as mentioned in one of his correspondences with Klein. To date, only parametric representations are available and the search for an implicit equation of this surface (of sixth degree, like that of the Boy) mobilizes a small group of specialists. The images that can be found on this site come from recent results by Iéronimus Holstein and Miroslav Milka.