English

The flip-graph of the 4-dimensional cube is connected

Metric Geometry 2017-05-12 v2 Combinatorics

Abstract

Flip-graph connectedness is established here for the vertex set of the 4-dimensional cube. It is found as a consequence that this vertex set has 92 487 256 triangulations, partitioned into 247 451 symmetry classes.

Keywords

Cite

@article{arxiv.1201.6543,
  title  = {The flip-graph of the 4-dimensional cube is connected},
  author = {Lionel Pournin},
  journal= {arXiv preprint arXiv:1201.6543},
  year   = {2017}
}

Comments

20 pages, 3 figures, revised proofs and notations

R2 v1 2026-06-21T20:12:33.824Z