The total number of "rigid motions'', that is, any combination of rotations and reflections that leave the pentagon superimposed on itself, is 10: Once the position of vertex 1 is established, the oth...The total number of "rigid motions'', that is, any combination of rotations and reflections that leave the pentagon superimposed on itself, is 10: Once the position of vertex 1 is established, the other vertices can increase from 1 either clockwise or counterclockwise. If c is a coloring of the object, then ϕ(c) is the coloring that results by applying ϕ to the colored object, moving the colors with the object.
