Mathematicians map Condorcet voting paradox onto Klein bottle topology
Analysis: Science & Technology — 27 October 2026 Condorcet voting paradox mapped onto a Klein bottle Three mathematicians have shown that Condorcet’s 1785 voting cycle has a geometric form: a Klein bottle, a one-sided surface with no distinct inside or outside. Ori Livson, Mikhail Prokopenko and Siddharth Pritam start from Yuliy Baryshnikov’s 1993 triangle model … Read more