## Unblock puzzle with pipes

A forum for good logic/math puzzles.

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ProDext
Posts: 4
Joined: Sat Jul 30, 2016 2:22 pm UTC

### Unblock puzzle with pipes

A friend of mine made this android puzzle game where you have to move block around to connect proper pipes together. It's a bit of brain teaser and it gets quite hard at times but finishing a level always makes me feel great .

You can get it here:

You're welcome, have fun !

Cauchy
Posts: 602
Joined: Wed Mar 28, 2007 1:43 pm UTC

### Re: Unblock puzzle with pipes

What makes this not just solving a tile-swapping puzzle to find a valid tile setup, followed by a 15 puzzle to get the blocks in the right place?
(∫|p|2)(∫|q|2) ≥ (∫|pq|)2
Thanks, skeptical scientist, for knowing symbols and giving them to me.

ProDext
Posts: 4
Joined: Sat Jul 30, 2016 2:22 pm UTC

### Re: Unblock puzzle with pipes

I don't know what you mean.

Cauchy
Posts: 602
Joined: Wed Mar 28, 2007 1:43 pm UTC

### Re: Unblock puzzle with pipes

The description and screenshots make the game look like you figure out how the pipes are supposed to go, and then you slide them into place. Both of those halves sound well-worn and not particularly interesting. The sliding part in particular is just the 15-puzzle, whose solution methods are pretty well known.
(∫|p|2)(∫|q|2) ≥ (∫|pq|)2
Thanks, skeptical scientist, for knowing symbols and giving them to me.

ProDext
Posts: 4
Joined: Sat Jul 30, 2016 2:22 pm UTC

### Re: Unblock puzzle with pipes

I didn't know about the 15 puzzle before. And what is the method for solving it exactly?

Cauchy
Posts: 602
Joined: Wed Mar 28, 2007 1:43 pm UTC

### Re: Unblock puzzle with pipes

You move a given edge row or column into place, then don't touch it again and work on a smaller grid, working on smaller and smaller grids until you're down to a 2x2 square. The one wrinkle is that due to parity considerations, it's possible that you'll be unable to solve naively if you have identical pieces; in that case, swap the identical pieces, and things will work correctly.
(∫|p|2)(∫|q|2) ≥ (∫|pq|)2
Thanks, skeptical scientist, for knowing symbols and giving them to me.

ProDext
Posts: 4
Joined: Sat Jul 30, 2016 2:22 pm UTC

### Re: Unblock puzzle with pipes

Does that solve it in minimal number of moves though?