NontransitiveDice
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{{Quote|center|Regarding non-transitive dice. I hope to write up something for your wiki page, but it will have to wait a few weeks. But I thought you'd like this cool result. Of all the possible combinations of triplets of 6 sided dice using 6 numbers, there is just one triplet that is symmetric and has the maximum "strength" - such that each dice beats the next with the same probability, and that probability is the largest of all symmetrical options. (I hope that makes sense). Unfortunately, they still aren't equally likely in a three-way roll. The set is: (1,2,2,5,5,6), (1,3,4,4,4,4) and (3,3,3,3,4,6). The likelihood that one beats the next is 4/7.|Edward Brelsford}} |
{{Quote|center|Regarding non-transitive dice. I hope to write up something for your wiki page, but it will have to wait a few weeks. But I thought you'd like this cool result. Of all the possible combinations of triplets of 6 sided dice using 6 numbers, there is just one triplet that is symmetric and has the maximum "strength" - such that each dice beats the next with the same probability, and that probability is the largest of all symmetrical options. (I hope that makes sense). Unfortunately, they still aren't equally likely in a three-way roll. The set is: (1,2,2,5,5,6), (1,3,4,4,4,4) and (3,3,3,3,4,6). The likelihood that one beats the next is 4/7.|Edward Brelsford}} |
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Revision as of 11:13, 12 September 2014
Non transitive dice.
They are a thing. See http://www.futilitycloset.com/2013/10/23/nontransitive-dice-2/
So, this page is a place to explore the game-design potential of a set of non transitive dice.
See also discussion on my fb page at https://www.facebook.com/nemothorx/posts/10151955159793216
| “ | Regarding non-transitive dice. I hope to write up something for your wiki page, but it will have to wait a few weeks. But I thought you'd like this cool result. Of all the possible combinations of triplets of 6 sided dice using 6 numbers, there is just one triplet that is symmetric and has the maximum "strength" - such that each dice beats the next with the same probability, and that probability is the largest of all symmetrical options. (I hope that makes sense). Unfortunately, they still aren't equally likely in a three-way roll. The set is: (1,2,2,5,5,6), (1,3,4,4,4,4) and (3,3,3,3,4,6). The likelihood that one beats the next is 4/7.
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—Edward Brelsford
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