Guichard-Combinatorics-Graph-Theory · Problem 6.2.1
Pólya–Redfield Counting
Mathematics — Probability · burnsides-theorem
Problem
Write the 12 permutations of the vertices of the regular tetrahedron corresponding to the 12 rigid motions of the regular tetrahedron in cycle form. Use the labeling below.
(Regular tetrahedron with vertices labeled 1, 2, 3, 4)