Question:

Algebra A cube is called colored if each of its faces is colored by one of three given colors. Two colorings are considered to be the same if there is a rotation of the cube carrying one coloring to the other. Prove that there exist exactly 57 different co

Last updated: 6/23/2022

Algebra A cube is called colored if each of its faces is colored by one of three given colors. Two colorings are considered to be the same if there is a rotation of the cube carrying one coloring to the other. Prove that there exist exactly 57 different co

Algebra A cube is called colored if each of its faces is colored by one of three given colors. Two colorings are considered to be the same if there is a rotation of the cube carrying one coloring to the other. Prove that there exist exactly 57 different colorings of the cube.