Workshop
Domes over curves
- Igor Pak (UCLA, Los Angeles, USA)
Abstract
A closed PL-curve is called integral if it is comprised of unit intervals. Kenyon's problem asks whether for every integral curve $\gamma$ in the $3$-dimensional euclidean space, there is a dome over $\gamma$, i.e. whether $\gamma$ is a boundary of a polyhedral surface whose faces are equilateral triangles with unit edge lengths. I will survey both positive and negative results on the subject.
Joint work with Alexey Glazyrin.
