Henry Ernest Dudeney/Puzzles and Curious Problems/254 - The Flanders Wheel/Solution

by : $254$

 * The Flanders Wheel
 * Place eight lettered counters on the wheel as shown.


 * Dudeney-Puzzles-and-Curious-Problems-254.png


 * Now move them one at a time along the line from circle to circle
 * until the word $\text {FLANDERS}$ can be correctly read round the rim of the wheel as at present,
 * only that the $\text F$ is in the upper circle now occupied by the $\text N$.


 * Of course two counters cannot be in a circle at the same time.
 * Find the fewest possible moves.

Solution
Move the counters in the following order:


 * $\text {A N D A F L N D A F D N L D R S D L N A F R S E R S L N A L}$

which is $30$ moves in all.