3 papers
cs.CG2025
All Polyhedral Manifolds are Connected by a 2-Step Refolding
Lily Chung, Erik D. Demaine, Jenny Diomidova +4
We prove that, for any two polyhedral manifolds , there is a polyhedral manifold such that share a common unfolding and…
cs.CG2025
All Polyhedral Manifolds are Connected by a 2-Step Refolding
Lily Chung, Erik D. Demaine, Jenny Diomidova +4
We prove that, for any two polyhedral manifolds , there is a polyhedral manifold such that share a common unfolding an…
cs.CG2025
Dudeney's Dissection is Optimal
Erik D. Demaine, Tonan Kamata, Ryuhei Uehara
In 1907, Henry Ernest Dudeney posed a puzzle: ``cut any equilateral triangle \dots\ into as few pieces as possible that will fit together and form a perfect square'' (without overl…