I've been meaning to make an updated version of this for a while so here it is, every numerically-balanced d20 layout!

Feel free to share, especially with any dice makers you think may be interested!

There is a more detailed explanation video by @henryseg for The Dice Lab (which use layout C, if you're curious!) https://youtu.be/Nh2H_4g6evc

#dice #ttrpg #DnD

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@Sophie @henryseg This paper https://www2.oberlin.edu/math/faculty/bosch/nbd.pdf
claims that one particular arrangement– the one you labeled "c"– is the single most perfect possible. Are they wrong or did they add in an extra requirement that narrows it from 6 to 1?
@60sRefugee @Sophie I don't think we ever claim that the solution we found is unique, just that it is a solution.
@henryseg @60sRefugee I know I’ve definitely claimed to have found all the working solutions, but I can’t remember where I put the code so it’d take me a while to prove it lol.