The most improbable thing you've ever seen?

[Borodog]

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It's not supposed to look like this?



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I have no idea. As far as I knew you just needed to get each side to have the numerals 1-9. Mine is gray with white numbers, so it may be a different manufacturer.

Edit: Yeah, it looks like there must be more than 1 solved state. If you look at the location and orientation of each numeral, they are all the same. 1 upper right, 2 upper middle, 3 upper right, 4 left middle, 5 in the center, etc.

So now I want to know, how many "solved" states are there; not the "metasolved" state with all the numbers in order, but just solved according to Soduku rules, with each face containing the numbers 1-9.

If we can ascertain that this was not miraculously unlikely, I'll have a lot easier time getting to sleep.


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We could have a problem here... isn't this game played with numbers 1-9 only? I'm thinking your cube may just be in 1 of its many unsolved states [img]/images/graemlins/smile.gif[/img]

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There seem to be many more state where the numberals do NOT appear exactly once on each face than there are states where they do.

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What I was driving at (sorry for the confusion) was are you sure you know exactly what the solved state is supposed to look like

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Yes; I've already conceded that there is a "metasolved" state where the numerals are all in order, and I haven't hit upon it by random. What I would like to know now is how many "simply solved" states there are (like the one I hit upon). But again, off to bed.