Polyhedral Cones of Magic Cubes and Squares

By M. Ahmed, J. D. Loera, R. Hemmecke. 2002

48 citations recorded by the source corpus.

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.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/d1c5241e3cb20445dc1085ba40578dac2bd30d56