32 votes

9 digits in vertical arrangement

We can do it in Using the suggested notation Or, if the notation is confusing you,
ACB's user avatar
  • 6,731
23 votes
Accepted

Rook River (Chess Sliding Puzzle)

Here's a solution (at least the upper bound of 125 moves). I've outlined it, to emphasize the key logic, and created an animation to show the whole solution):
Dr Xorile's user avatar
  • 23.4k
22 votes
Accepted

Labyrinth of stones

Starting state: ...
Avi's user avatar
  • 10.4k
20 votes
Accepted

Wizard of subsets

Unless I'm missing something
Daniel S's user avatar
  • 6,748
17 votes
Accepted

9 digits in vertical arrangement

I have found solution with only Here an animation of the idea: And for completeness, all steps taken:
Lezzup's user avatar
  • 4,936
16 votes

Wizard of subsets

Move those marked l to the left, then the rs right and then the us up.
loopy walt's user avatar
  • 21.2k
15 votes

Wizard of subsets

Very similar to @loopy-walt solution, but still OC :)
DL33's user avatar
  • 779
14 votes

Rook River (Chess Sliding Puzzle)

Using Dr Xorile's answer as a base here is an improved solution:
Jonathan Allan's user avatar
14 votes
Accepted

Is there a configuration of the 8-puzzle where locking a tile makes it harder?

As far as I know, the only way to figure this out is by letting a computer run through all the possibilities. It is a small puzzle, so this does not take long. First I will assume that you want the ...
Jaap Scherphuis's user avatar
14 votes
Accepted

The Amazing Sliding Crossword

The solution to the crossword is: And this can be arranged as: My strategy: But is this solvable as a 15-puzzle? An explicit solution:
Deusovi's user avatar
  • 146k
14 votes

16 Step Switchover

I think this works:
Gareth McCaughan's user avatar
13 votes

Puzzle similar to 15-puzzle but more moveable pieces?

As answered by @BeastlyGerbil, you have the world of twisty puzzles. Here in the Twisty Puzzle Museum you can find over 5,000 of these kind of puzzles, and here is my personal collection of currently ...
Kevin Cruijssen's user avatar
13 votes

Klotski Puzzle; Solution or Program needed

I hacked together a little solver in Python. The puzzle has a rather large state space, with about 6 million positions. My solver doesn't find any solution shorter than 295 moves; here they are, with ...
Gareth McCaughan's user avatar
13 votes
Accepted

Exchange pawns (sliding block puzzle)

I used a computer to find an optimal solution. A rearrangement of a few moves allows the solution to be broken up into clear stages, making it much easier to see what is going on.
Jaap Scherphuis's user avatar
12 votes

Puzzle similar to 15-puzzle but more moveable pieces?

Kevin Cruijssen gives some good examples. You might also want to consider multiple layers as a part of the puzzle, which allows you to have additional constraints, either visible or hidden. For ...
bkuehner's user avatar
  • 446
12 votes
Accepted

Barrel - Part 2

Here's my attempt (maybe I'll get graphical when I have the time, text only for now.) First, label the non-dynamite barrels like this: and develop a notation: <Barrel name>-<direction> means ...
Bass's user avatar
  • 77.4k
11 votes

16 Step Switchover

Took me some time, but I got 13 steps:
Hazel へいぜる's user avatar
10 votes
Accepted

8 Puzzle Unsolvable Proof?

The standard way of determining the solvability of sliding-block puzzle is analysing the parity of the corresponding permutation. A permutation is simply a reordering of some things — the tiles, ...
Ankoganit's user avatar
  • 18.6k
10 votes
Accepted

Santa's Sacks and the Puzzling Presents

Sacks 2 & 3 Firstly, since I did this using a grid and its hard to rotate the diagrams, they've been rotated 45 degrees. Sack 2 Sack 3 It's quite trivial to get everything else out as all ...
Wen1now's user avatar
  • 9,253
10 votes
Accepted

Barrel - Part 5

Not required to do it in the minimum number of moves, eh? Well, "Inefficient" is my middle name! Actually, it's 'Pink', but whatever. Let's build a horribly inefficient solution by first making some ...
ManyPinkHats's user avatar
  • 7,127
9 votes

Do I have an unsolvable 15 puzzle?

For a 15 puzzle to be solvable it has to meet the following: If the grid width is odd, then the number of inversions in a solvable situation is even. If the grid width is even, and the blank is on an ...
Pablo T.'s user avatar
9 votes
Accepted

Do I have an unsolvable 15 puzzle?

The puzzle is: The steps to show that: Which gives this configuration:
boboquack's user avatar
  • 22k
9 votes
Accepted

Escape the Klotski dungeon!

Bottom Puzzle: Middle Puzzle: Top Puzzle: (AKA: Pain and a half)
Engineer Toast's user avatar
9 votes

The Amazing Sliding Crossword

Initial grid as follows:
Omega Krypton's user avatar
9 votes

A series of fortunate transpositions

My answer: Most questionable word: Note that
Rand al'Thor's user avatar
9 votes

Exchange pawns (sliding block puzzle)

Manish Kundu's user avatar
  • 2,704
8 votes

Puzzle similar to 15-puzzle but more moveable pieces?

I'm sure you know of the Rubik's Cube. That has got multiple movable pieces. If you want something with a lot more movable pieces you could try some of the family members of the Rubik's Cube. For ...
Beastly Gerbil's user avatar
8 votes
Accepted

15 Tiles Sliding Block

As @IAmInPLS made clear the letter is This letter reminded me of one logo Thus the animal is
Zachstein's user avatar
  • 521
8 votes
Accepted

Pool of Pawns (Chess Sliding Puzzle)

My solution has: I will use P to denote pawn for nice formatting (sorry chess fans) and instead of writing multi-move chains of sliding the same type of piece in a line I will just put the start of ...
boboquack's user avatar
  • 22k
8 votes
Accepted

Barrel - Part 4

OK, this one's going to be way more difficult than the ones before. The first observation is that an open barrel standing somewhere can only stand somewhere else if it has rolled in between, and ...
Bass's user avatar
  • 77.4k

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