How many ways are there to color faces of a

zato1kom7

zato1kom7

Answered question

2022-05-21

How many ways are there to color faces of a cube with N colors if two colorings are the same if it's possible to rotate the cube such that one coloring goes to another?

Answer & Explanation

vishaex0

vishaex0

Beginner2022-05-22Added 6 answers

The number of different colorings is equal to
n 6 + 3 n 4 + 12 n 3 + 8 n 2 24 .
You can get this number using Burnside lemma. The wikipedia article contains solution of your problem as well.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?