Check out Jane Street's icosahedron puzzle:
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2022 International Mathematical Olympiad!
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If you want those d60 and d120 we sell them on Maths Gear or you can go direct to The Dice Lab.
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Here is my terrible python code.
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Thanks to Gilad Levy for sending in the question. This is the best collection of maths about the problem we found at the time: [ Ссылка ]
But much of that looks at getting a certain value OR GREATER whereas I focused on specific values and the average value.
I’ve also noticed that Chalkdust just beat me with a similar article. Nice to see a different way (induction) to derive the same probability of getting specific value equation! [ Ссылка ]
Cheers to my Patreons for buying me all those dice. If you think I still don't have enough dice, get involved here: [ Ссылка ]
CORRECTIONS
- Yes, on the bar chart axis it goes 2%, 4%, 2%, 4% instead of 2%, 4%, 6%, 8%. First spotted and pointed out by Deadeaded. It was just because I was copying and pasting in photoshop and forgot to edit it. Not because I was making that chart in a bar.
- At 23:07 I have (n=1) in the graphics which should be (n-1). Or maybe I put in two - and you should pick the highest. (Pointed out by Leick Robinson.)
- Marco Davi correctly noticed that the fifth Rhombic Dodecahedral Number is 369, not the 269 you see at 21:46.
- Let me know if you spot any other mistakes!
Filming and editing by Alex Genn-Bash
Dice gluing by Alex Genn-Bash
Putting 1/n in front of everything by 1/nMatt 1/nParker
Music by Howard Carter
Design by Simon Wright and Adam Robinson
