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How do I devise an algorithm to solve a sliding puzzle?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,237

Hi;

Do you mean the 15 puzzle?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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The 15 puzzle is unsolvable.

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,237

Some positions are not possible but others are.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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Ok, so how to do it?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,237

There is some math that tells you whether it is solveable or not but I have forgotten it.

Programming it, looks tough.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**mathaholic****Member**- From: Earth
- Registered: 2012-11-29
- Posts: 3,239

Mathematica?

Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate

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But programming it is what I am thinking.

After all, programs are threre which solve them

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,237

I will try one and see what comes up.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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Did you?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,237

I have not even scratched the surface because I am still wrestling with a representation of the puzzle itself. It is unlikely that I will get far even when I solve that small problem because I do not understand how the program should pick from its many choices.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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Are you on Win 7?

The algorithm isn't simple, it involves a lot of graph theory...

*Last edited by Agnishom (2013-04-26 23:58:55)*

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,237

Heck no!

That is the problem right there. I am not very good with graph theory. As a matter of fact, I stink.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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http://www.brian-borowski.com/Software/Puzzle/

Are they calling each state a node?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,237

Probably, that would make sense.

Here is the math behind every solution.

http://mathworld.wolfram.com/15Puzzle.html

Also, there are tons of these programs to download. I need some sleep, see you.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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Okay Sweet Dreams!

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,237

Thanks and same to you.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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