The Picard Maneuver@lemmy.world to RPGMemes @ttrpg.network · 6 months agoRoll a D327 for melemmy.worldimagemessage-square36linkfedilinkarrow-up1416arrow-down14cross-posted to: mathmemes@lemmy.blahaj.zone
arrow-up1412arrow-down1imageRoll a D327 for melemmy.worldThe Picard Maneuver@lemmy.world to RPGMemes @ttrpg.network · 6 months agomessage-square36linkfedilinkcross-posted to: mathmemes@lemmy.blahaj.zone
minus-squarethreelonmusketeers@sh.itjust.workslinkfedilinkEnglisharrow-up3·edit-26 months ago shouldn’t you be able to go to 240? Not really. The faces of the D120 are already asymmetric (scalene) triangles. There’s no way to split these into additional faces while keeping them all the same shape. Any larger geometrically fair die would have to be from an infinite family (prisms, bipyramids, and trapezohedra), which are “impractical in reality due to the tendency to roll for a long time”.
minus-squareHagdos@lemmy.worldlinkfedilinkarrow-up2·6 months agoA tendency to roll for a long time would be true for any many-sided die, no? I can’t imagine the 120 stopping quickly either.
minus-squarethreelonmusketeers@sh.itjust.workslinkfedilinkEnglisharrow-up2·6 months agoYes, but since faces are essentially distributed over a cylinder, rather than a sphere, it is more of an issue.
Not really. The faces of the D120 are already asymmetric (scalene) triangles. There’s no way to split these into additional faces while keeping them all the same shape.
Any larger geometrically fair die would have to be from an infinite family (prisms, bipyramids, and trapezohedra), which are “impractical in reality due to the tendency to roll for a long time”.
A tendency to roll for a long time would be true for any many-sided die, no? I can’t imagine the 120 stopping quickly either.
Yes, but since faces are essentially distributed over a cylinder, rather than a sphere, it is more of an issue.
Ah yeah, that’s a good point