Year: 2026
Type: preprint
Abstract: We prove that every three-dimensional parallelohedron $P$ satisfies \[ \mathcal H^2(\partial P)\ge 12\sqrt2\,r(P)^2, \] where $r(P)$ is the inradius of $P$, with equality if and only if $P$ is similar to the regular rhombic dodecahedron.
Source: arXiv (Cornell University)
Authors: Cesaroni, Annalisa, Novaga, Matteo
Institutions: University of Padua, University of Pisa
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221749144