# Tag Info

### 9 digits in vertical arrangement

We can do it in Using the suggested notation Or, if the notation is confusing you,
• 6,731
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### 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):
• 23.4k
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### Labyrinth of stones

Starting state: ...
• 10.4k
Accepted

### Wizard of subsets

Unless I'm missing something
• 6,748
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### 9 digits in vertical arrangement

I have found solution with only Here an animation of the idea: And for completeness, all steps taken:
• 4,936

### Wizard of subsets

Move those marked l to the left, then the rs right and then the us up.
• 21.2k

### Wizard of subsets

Very similar to @loopy-walt solution, but still OC :)
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### Rook River (Chess Sliding Puzzle)

Using Dr Xorile's answer as a base here is an improved solution:
• 21.2k
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 ...
• 53.2k
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### 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:
• 146k

### 16 Step Switchover

I think this works:
• 119k

### 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 ...
• 4,588

### 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 ...
• 119k
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### 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.
• 53.2k

### 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 ...
• 446
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### 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 ...
• 77.4k

### 16 Step Switchover

Took me some time, but I got 13 steps:
• 10.6k
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### 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, ...
• 18.6k
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### 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 ...
• 9,253
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### 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 ...
• 7,127

### 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 ...
• 91
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### Do I have an unsolvable 15 puzzle?

The puzzle is: The steps to show that: Which gives this configuration:
• 22k
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### Escape the Klotski dungeon!

Bottom Puzzle: Middle Puzzle: Top Puzzle: (AKA: Pain and a half)
• 17.5k

### The Amazing Sliding Crossword

Initial grid as follows:
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### A series of fortunate transpositions

My answer: Most questionable word: Note that
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• 2,704

### 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 ...
• 58.4k
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### 15 Tiles Sliding Block

As @IAmInPLS made clear the letter is This letter reminded me of one logo Thus the animal is
• 521
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 ...
• 22k