English

Can $n^d + 1$ unit right $d$-simplices cover a right $d$-simplex with shortest side $n + \epsilon$?

Combinatorics 2017-11-27 v1

Abstract

In a famous short paper, Conway and Soifer show that n2+2n^2 + 2 equilateral triangles with edge length 1 can cover one with side n+ϵn + \epsilon. We provide a generalization to dd dimensions.

Keywords

Cite

@article{arxiv.1711.08497,
  title  = {Can $n^d + 1$ unit right $d$-simplices cover a right $d$-simplex with shortest side $n + \epsilon$?},
  author = {Michael J. Todd},
  journal= {arXiv preprint arXiv:1711.08497},
  year   = {2017}
}

Comments

4 pages