I don't have enough time to read the paper in full right now. But I'm curious if using this they could possibly find the solution to the 3 sided coin problem. I haven't heard anything about it since I watched the matt parker video about it.
Looks like that post author forgot to loop back to the original question once they found a model that fit their own simulations.
Just visually going off the chart, the answer is a "coin" has a 1/3 chance of landing on its edge when its height is 1.7x its radius, or 0.85x its diameter. (the blog author used half-height and the paper he found uses full height)
90s_dev · 14h ago
Does this mean 2d physics simulators are about to get N times faster? Because that'd be cool if N is big enough.
almostgotcaught · 14h ago
> our key observation is that we can identify dynamically stable configurations of a rigid body, and calculate their associated probabilities
> this model is purely geometric, and does not directly account for momentum
answer: no
iwontberude · 15h ago
I don’t think it gets much better than this. How exceedingly clever.
spencerflem · 15h ago
I love this !!
Only kinda related but I love having the opportunity to share this website, cataloging every possible fair die: http://www.aleakybos.ch/Shapes.htm
(ie: not the sort of die in the post, they must have identical faces. this thread gave me a new appreciation for the non equal faced dice tho)
https://youtu.be/-qqPKKOU-yY
Or I guess if anyone else knows the answer, that would also satisfy my curiosity.
Just visually going off the chart, the answer is a "coin" has a 1/3 chance of landing on its edge when its height is 1.7x its radius, or 0.85x its diameter. (the blog author used half-height and the paper he found uses full height)
> this model is purely geometric, and does not directly account for momentum
answer: no
Only kinda related but I love having the opportunity to share this website, cataloging every possible fair die: http://www.aleakybos.ch/Shapes.htm
(ie: not the sort of die in the post, they must have identical faces. this thread gave me a new appreciation for the non equal faced dice tho)