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Rotos puzzle theory

Scigatt

Member
Joined
Nov 2, 2008
Messages
101
Location
Vancouver, Canada
For the Rotos puzzle, I want to obtain and understand a 'fewest moves' solution to this puzzle. In particular, I want to solve the permutation below:

3 2 1
7 6 5 4
0 9 8

I did manage to solve it, but with a lot of turns(29 HTM, 70 QTM). How would I get a smaller solution? What about a general low move count solution for humans?

These are the algs I found to get the long solution:

R4 L2 R2 L4: Swaps at position pairs (2,9) and (4,7).

L3 R3 L3: Swaps at position pairs (1,3), (8,0) and (5,7).

R3 L' R3 L3 R: Places pieces at spots 1, 3, 8, and 0 on spots 6, 4, 7, and 5 respectively.
 

jaap

Member
Joined
Sep 22, 2009
Messages
30
Location
Netherlands
WCA
2003SCHE01
YouTube
jaapsch2
If you use the solver built into the javascript simulation on my page, you will get an optimal solution (in 'qtm'). The solution it finds is:
L-2 R' L2 R' L' R L R-2 L R L R L' R' L (15/18)
Like most optimal solutions, this does not really provide any insight.
 
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