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Guest Message by DevFuse

# transitive dice

2 replies to this topic

### #1 phil1882

phil1882

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• 560 posts

Posted 11 September 2012 - 08:45 PM

it's possible to construct a set of 3 dice, such that no matter what dice your opponent picks first, the dice you pick will beat it.
```1v2 1 4 4 4 4 4
2 2 1 1 1 1 1
2 2 1 1 1 1 1
2 2 1 1 1 1 1
5 2 2 2 2 2 2
5 2 2 2 2 2 2
5 2 2 2 2 2 2

2v3 3 3 3 3 3 6
1 3 3 3 3 3 3
4 2 2 2 2 2 3
4 2 2 2 2 2 3
4 2 2 2 2 2 3
4 2 2 2 2 2 3
4 2 2 2 2 2 3

3v1 2 2 2 5 5 5
3 3 3 3 1 1 1
3 3 3 3 1 1 1
3 3 3 3 1 1 1
3 3 3 3 1 1 1
3 3 3 3 1 1 1
6 3 3 3 3 3 3
```
is it possible to construct a set of 5 dice such that the total of any two dice can be beaten by the total of two other dice?
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### #2 Rainman

Rainman

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Posted 12 September 2012 - 02:06 AM

Spoiler for

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### #3 phil1882

phil1882

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• 560 posts

Posted 12 September 2012 - 06:44 PM

nicely done rain man - A+
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