English

Polyhedral Cones of Magic Cubes and Squares

Combinatorics 2007-05-23 v2

Abstract

Using computational algebraic geometry techniques and Hilbert bases of polyhedral cones we derive explicit formulas and generating functions for the number of magic squares and magic cubes.

Keywords

Cite

@article{arxiv.math/0201108,
  title  = {Polyhedral Cones of Magic Cubes and Squares},
  author = {M. Ahmed and J. De Loera and R. Hemmecke},
  journal= {arXiv preprint arXiv:math/0201108},
  year   = {2007}
}

Comments

14 pages

R2 v1 2026-07-22T16:42:40.113Z