h a l f b a k e r yGuitar Hero: 4'33"
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Board games frequently use dice. These are always designed such that opposite sides add up to 7 (6+1, 5+2, and 4+3). However, this allows two ways of arranging the sides which produces dice which are 'mirror images' of each other. I therefore suggest that in board games which use two dice, both orientations
(or a "chiral pair") are supplied to avoid any accusations of bias arising from left-handed people having to use
right-handed dice or vice versa.
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This is going to be even more important when the time arrow reverses direction (universe starts to collapse). Bollocks to global warming, let's concentrate on the more important issues. |
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//when the time arrow reverses direction// you mean when "Time flies like a banana", and English language students get another headache? |
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Those damn time flies. They're a real temporal nuisance, they are. |
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Drosophilidae have given more than they could ever take away, that just not symmetrical. |
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For unlucky people, you could have one die in the pair with the top and bottom sides switched :) |
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This is just another kind of craps... |
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When time flies like a bananna, and fruit flies like an arrow? |
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Fine work [+], although given that both the 2 and the 3 can slant /wise or \wise, I'd argue there are actually eight identifiably different possible configurations in which dice can be produced. If your 'left' die has a /3 next to a /2 (when looking at the side of the die, with 6 on the top), would your 'right' die have \2 next to \3? |
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hmmm - I've just made a small die out of Blu-Tack, and yes, I think you're right. That is, you'd have to reverse the /3 and /2 into \3 and \2 to retain the 'mirror-image'-ness of it. |
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Wouldn't there be sixteen ways, given that the sides of the six also have two orientations? |
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No, because each die with the 6 oriented =-wise (say, with the 6 on top, the 2 at the front as you look at it, and 3 on the right-hand-side) is isomorphic to a die with the 6 oriented ||-wise, with 3 at the front and 2 on the left-hand-side, so there are still only eight possible distinct configurations (in four chiral pairs). |
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Would those who develop their skills at using these dice be referred to as chiral practors? |
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Maybe, but you just know that they'll only use die cast models for the commercials. |
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Both of those "isomorphic" dice you just described have the flat side of the six adjacent to the two and five--they're the same die, just rotated 90 degrees. A different die would have the flat side of the six adjacent to the three and four. |
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Ideally we'd have a way of representing 2, 3 and 6 that was orientation-neutral, to cut down on the number of dice. |
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