Polyhedral Cones of Magic Cubes and Squares [chapter]

Maya Ahmed, Jesús De Loera, Raymond Hemmecke
2003 Algorithms and Combinatorics  
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.
doi:10.1007/978-3-642-55566-4_2 fatcat:k2lw36kccnef5bgwpuopg27t4q