Burnside's Lemma: Necklace Colorings
How many distinct necklaces can you make with 6 beads using 3 colors? Two necklaces are the same if one can be rotated to look like the other.
6
3
0
Total Colorings
(3^6)
0
Distinct Necklaces
(under rotation)
130
Burnside's Formula
matches exactly!
All 0 Distinct Necklaces
Each card shows one representative from each equivalence class. Necklaces in the same class can be rotated to match each other.