An Obsessive Journey

On my 24th birthday my flatmate gave me a puzzle. It wasn't just any puzzle, it was 'One Tough Puzzle', both in name and in practise. At first glance, the notion that there are 300,000 ways not to solve this puzzle and only one way to complete it, seems rather excessive. There are after all, only nine pieces. Yet, after a few tries, I started to realise just how tough this puzzle really was, and I found myself on a quest to solve it.

I have created this blog, by way of documenting my mistakes and formulating a strategy. I am, though, scared at every moment that someone might come along, ask to have a go and solve it instantly. Something tells me there cannot be a method, and only pure dumb luck in solving this bastard.

Monday, 26 July 2010

Situations

Today I'm trying to establish what situations are and aren't possible. So, I'm looking at which suits you can find adjacent to one another, and which you can't.


In terms of the above, I am thinking solely in terms of suits placed inward or outward together. In the first image we have two pieces with one diamond and one club pointing inward; two cases where one heart and one diamond is pointing inward; and two cases of a heart and a spade pointing inward. In addition two pieces have the same combination in their outward pointing pieces as inner. I'm not entirely sure if there is any significance to any of this.

The second photo seemed a bit of an anomaly, didn't share characteristics with any other.

The third, and possibly most useful set of pictures is where two of the same suit are adjacent, here we have inward clubs and outward spades. However, to be honest, I wasn't getting all that far and didn't quite know how to think about this:


Something told me I had to think of it all piece by piece, so I decided to take one specific and possibly easiest to think about one: The piece with two outward spades. I used it as a basis for the whole puzzle, trying to construct it according to the rules of this one piece:


With a little experimentation, arranging all the pieces around my two spades I realised that it didn't appear it could be put in the middle of the puzzle and I struggled with a few combinations but this was the closest I came to using that particular piece in the middle. It seemed I needed to go for a slightly different approach.

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