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Evil? This is the best game ever! My productivity took a rapid nose dive after visiting this site.
I am gurgling with happiness.
I like it. Seems a bit easy though, since you already know the graph is planar, you know what moves you need to make.
What I like is that one can get an intuitive sense of what moves need to be made without really learning the rules. I was having fun developing rules (although I have to admit to losing patience around level 6 or so).
Two comments:
1) Eszter has an Erdös number of 3??!! Grrrr.
2) Never mind. I was going to post my methodology, but I would hate to ruin anything for anyone. Some of the commentors on Crooked Timber seem to be having a hard time though.
Off topic
Walt! I have been looking for you. Send me an email if you get the chance. analog999 near hotmail.com
After playing for a while, I found some of the quirks in how the puzzle is generated lead to strategies for solving it (e.g. no nodes have more than 4 edges — though this one isn’t particularly helpful).
Also, it IS evil. After level 11 it reported to me a time of around 12 minutes. I managed to convince myself that this must be the cumulative time I’d spent playing the game. It wasn’t until after I completed the next level (and compared the time on the wall clock), that I realised that it was the time for a single level. I’m still not sure how my perception of time could have been off by so much.
Someone on Crooked Timber posted my method.
That’s slightly different to what I was doing … I noticed that using all the nodes with two and three edges and a few nodes with four edges, it is possible to make a perimeter. That leaves nodes with four edges on the inside, which you can move towards their centre of gravity (with a slight bias towards nodes on the perimeter).
Given the limited size of the board, this gives you more room to play with than starting with a triangle.
A post by John Tantalo on Crooked Timber, explains how he generates the graphs (which can explain why a perimeter like this can be found).