Enumeration of Polyominoes & Polycubes Composed of Magnetic Cubes
Yitong Lu,Anuruddha Bhattacharjee,Daniel Biediger,MinJun Kim,Aaron T. Becker,Yitong Lu,Anuruddha Bhattacharjee,Daniel Biediger,MinJun Kim,Aaron T. Becker
This paper examines a family of designs for magnetic cubes and counts how many configurations are possible for each design as a function of the number of modules. Magnetic modular cubes are cubes with magnets arranged on their faces. The magnets are positioned so that each face has either magnetic south or north pole outward. Moreover, we require that the net magnetic moment of the cube passes thr...
