I invent models to explore the physical properties of magic squares.
The water retention model progressed from the specific case of the magic square to a more generalized system of random levels. A quite interesting counter-intuitive finding that a random two-level system will retain more water than a random three-level system when the size of the square is greater than 51 X 51 was discovered. Percolation theory explains this landscape. This was reported in the Physical Review Letters in 2012 and referenced in the Nature article in 2018.