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Shuffle (Posted on 2009-01-09) Difficulty: 3 of 5
The graphic represents an unfolded cylinder that has a rotatable ring around its girth. Nine blocks, labeled 1 to 9 in order, occupy that band initially. There are three vertical grooves which intersect this band; the slots will always carry 2 blocks although the slot length is for three.

At any one time, if a block in one vertical is moved up or down, the blocks in the other slots move simultaneously in the same direction. Horizontal bands may be rotated left or right as many places as you wish (but one place per mouseover).

Position at initialisation:
                 
1 2 3 4 5 6 7 8 9
      x   x     x

and then after several moves:
U
L
      6   7     1
2 3 x x x 4 9 8 5
                 
R
D
Note: All of the links provide interaction.


1. Suggest how I can "backtrack" to the initial position in the shortest possible moves.
   Consider R4, 4R or RRRR, all being equivalent, as 4 moves.

2. Then, is it possible to reverse the order of the digits? If so, how?

Reset to the download position.     Set to the initialisation position.

Note: mouseover on links is very sensitive.

See The Solution Submitted by brianjn    
Rating: 4.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: In esse | Comment 6 of 7 |
(In reply to In esse by Price Nelson)

Is this some kind of training exercise in maths? I think it may be useful for the brainwork anyway. I think if I had worked that way I would have creative thoughts and would not have to search for the pre written essays for sale 
  Posted by Rita Fleming on 2021-01-13 07:57:57

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