Clock Sudoku

Fill the rings with the numbers from 1 to 12 so that no number is repeated in any of the six rings, any of the six shaded double-wedges, or any of the pairs of opposite wedges. Have fun!

This puzzle was kindly provided by Brainfreeze puzzles, a puzzle making company run by the mathematician Laura Taalman and the software developer Philip Riley, whose book Color Sudoku is available now.

The solution