We still haven't proven whether it's possible to always divide any shape into equal-area pieces using only straight cuts through a single point.
open
Global / Unspecified, Global
Simple geometric fairness questions like this remain surprisingly open for many classes of shapes, especially in three or more dimensions. Solving them has practical relevance to resource division and computational geometry.
Citation ID: WS01246
Title: We still haven't proven whether it's possible to always divide any shape into equal-area pieces using only straight cuts through a single point.
URL: https://worldsolve.org/index.php?api=problem&id=1246