2 papers
math.MG2026
Orthogonal partition by four hyperplanes
Alexey Fakhrutdinov, Platon Khamatov, Oleg R. Musin
We study orthogonal -equipartitions of finite measures absolutely continuous with respect to Lebesgue measure: every three of four mutually orthogonal affine hyperplanes mus…
math.CO2025
Algorithms for orthogonal partitioning into four parts
Alexey Fakhrutdinov, Oleg R. Musin
The famous pancake theorem states that for every finite set in the plane, there exist two orthogonal lines that divide into four equal parts. We propose an algorithm whose…