Showing 2025Show all
2 papers · 1 filter
math.CO2025
Combinatorics of slices of cubes
Marie-Charlotte Brandenburg, Chiara Meroni
We present a complete computational classification of the combinatorial types of hyperplane sections, or slices, of the regular cube up to dimension six. For each dimension, we det…
math.MG2025
Semialgebraic rank-one convex hulls: 2x2 triangular matrices and beyond
Chiara Meroni, Bogdan Raita
We prove that the rank-one convex hull of finitely many triangular matrices is a semialgebraic set, defined by linear and quadratic polynomials. We present explicit con…