Which DICE beat the others? Nobody knows.
186,520
Published 2023-11-30
Tadashi Tokieda's Numberphile video on non-transitive dice: • The Most Powerful Dice - Numberphile
singingbanana's video on Simpson's Paradox: • Maths: Simpson's Paradox
GitHub repo with this visualization's source code: github.com/carykh/Non_Transitive_Dice
All Comments (21)
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the problem i have with this set of intransitive dice is that purple beats green 5/9 times, so against a random die, purple is the best and green is the worst
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10:30 "There's this region between 3 and 5 known as 4" The way you said it is just hilarious to me.
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Its actually interesting how much math you can put into statistically getting a win with die that aren't 1-6
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Finally, a mathematical way to choose the best character in Mario party!
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Since it wasn't mentioned in the video, I looked at it myself: The purple die has an edge over the green die winning 5/9 (20/36) of the time
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To make this non-transitive property more widely known, we should come up with a simple game (maybe less dice, and things instead of dice), like a rock cuts through paper, scissors chisel a rock, and paper envelops scissors?
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6:20 The second you explained this, I thought about gerrymandering. Creating matchups where one side is having its "potential" deliberately wasted to skew the results of what would have otherwise been an overall more proportional result.
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This honestly reminds me of a group of five Earthbound bosses where each believes they're the third strongest because they all won against two of their brothers and lost against the other two. Not sure how exactly the explainations match up, but I've got a feeling
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Talking about "non-transative" reminds me of ranking players or characters in games like Super Smash Bros. Just because A beats B and B beats C, does not necessarily mean A will beat C or is better than C.
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Somewhat surprised that this video didn't mention Rock-Paper-Scissors, or the many Strategy games where there are units that can be good counters to another, but weak to a second unit. My favorite version is Archers beat Infantry beat Cavalry beat Archers.
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The beginning of the video is so random and funny I love that math can sometimes be so complicated and confusing yet always so fun to research around it
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the dice that wins always has at least 6 sides, 12 corners, and will be flat edit: i have found out cubes has 8 corners, not 12
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idk why but i just like numbers with percentages and analytics like this so these videos are always fun :D
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yo cary kumon helper this video is fascinating! i didn’t know that colorful dices and plots could be so interesting! i learned quite a bit from this video
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It was really cool to see a 3d visual of this non transitive problem! It really helps give an intuitive understanding of why this paradox actually makes sense!
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When I saw these dice, I immediately thought about Super Mario Party on the switch, because every single character in that game has their own unique dice with different values along side the standard di, for example bowser as 0,2,4,7,8,9 and wario has 0,0,0,6,6,7. its really cool to see this and think about the game with this in mind
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I hadn't thought about dice in this way. It's cool how math can be used like that.
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I really liked how visual and well thought your video was. Fantastic work.
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Great visualization. This week has been great for dice-related content. Numberphile also just released a new dice video.
