41023Re: Statistical analysis of (mostly megaminx) scramblers
- May 2, 2008Same suggestions as Doug, plus...
- I think sticker color distribution is alright. Causes triple-wrong
counting of corners, but also triple-right counting. I believe this
evaluation is fine.
- Might be possible to do *exact* computations of averages and
standard deviations if you use dynamic programming similar to my 3x3
scramble analyzer here: http://stefan-pochmann.info/spocc/other_stuff/
- When blindsolving the megaminx (or the 3x3), pieces not at the
correct place simply have no "correct/wrong" orientation for me. And
those at the correct place are obvious. However, you can simply for
each piece pick any reference orientation you like. Gosh, I wish I
had written that article already (it's on my to do list).
- I had actually thought about analyzing the 5x5 centers, that's
something else I'd like to see. So after N scramble moves, how many
moves does it take to solve 1) the white center 2) the easiest
center. This is something you could do here as well, i.e., analyze
the solution length or the position distribution of a group of pieces
or stickers. But as mentioned above, I believe single sticker color
distribution to be fine.
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