English

On non-isomorphic biminimal pots realizing the cube

Combinatorics 2022-10-28 v1

Abstract

In this paper, we disprove a conjecture recently proposed in [L. Almodovar et al., arXiv:2108.00035] on the non-existence of biminimal pots realizing the cube, namely pots with the minimum number of tiles and the minimum number of bond-edge types. In particular, we present two biminimal pots realizing the cube and show that these two pots are unique up to isomorphisms.

Cite

@article{arxiv.2210.15295,
  title  = {On non-isomorphic biminimal pots realizing the cube},
  author = {M. M. Ferrari and A. Pasotti and T. Traetta},
  journal= {arXiv preprint arXiv:2210.15295},
  year   = {2022}
}
R2 v1 2026-06-28T04:37:49.233Z