http://math.ucr.edu/home/baez/six.html
http://math.ucr.edu/home/baez/week79.html
http://www.ams.org/notices/199509/index.html
symmetries of the cube: https://www.math.lsu.edu/~verrill/teaching/discrete2020/Spring2005/cubesolution.pdf
http://www.ams.org/samplings/feature-column/fcarc-cubes7