deanputney — 2014-06-20T14:28:24-04:00 — #1
johneightthirty — 2014-06-20T14:46:34-04:00 — #2
This is nice because there's no three-sided Platonic solid, but this way you can have a die with an equal likelihood of each of three outcomes. The same technique could be used to made an N-sided die for any N.
There is a chance (albeit a small one) that the die could land on one of the two ends. So it's really a five-sided die. But you could just make a rule that that's a "push" and the die should be rolled again. Of course the same kind of rule permits three possible results from a regular old cubic die, though a person who points that out to the inventor of this clever shape would have to be a poor sport. (Or a mathematician.)
jim_kirk — 2014-06-20T14:47:44-04:00 — #3
Cool, and very pretty.
Math question: between a coin and a length of pipe, what is the aspect ratio of a cylinder with equal probability of landing on one end, the other end, or the side?
Show you work and any assumptions you make.
daneel — 2014-06-20T14:54:53-04:00 — #4
Or you could just use a normal die and count 1 OR 2, 3 OR 4 and 5 OR 6 as your three outcomes.
milsyobtaf — 2014-06-20T15:03:42-04:00 — #5
jared_kaufman — 2014-06-20T15:04:03-04:00 — #6
Sure, you could, Sergeant Killjoy...
humbabella — 2014-06-20T15:17:19-04:00 — #7
No, the correct way is to take the result mod 3, heathen.
That's not a math question, that's a physics or an engineering question. In math we don't make assumptions.
disarticulate — 2014-06-20T15:20:46-04:00 — #8
The Cow has always been Spherical
samsam — 2014-06-20T15:22:38-04:00 — #9
Precisely. I guess it's the programmer in me, but I couldn't even imagine doing anything other than (1 || 4), (2 || 5), (3 || 6).
I was shocked, shocked to see a different suggestion.
daneel — 2014-06-20T15:29:20-04:00 — #10
I was always a terrible software engineer.
markdow — 2014-06-20T15:31:57-04:00 — #11
Assume perfectly elastic and rigid materials for the die and for a flat, infinite rolling surface, because otherwise the answer will depend on these factors. By conservation of energy the die will never stop tumbling. Each side will come up equiprobably, with a value p = 0, for any aspect ratio.
snej — 2014-06-20T15:54:49-04:00 — #12
You can just use a triangular cylinder as a d3, especially if you round off the ends so it can't balance on them. (Or if it does manage to balance on-end, you call it a critical hit or something.)
This design does look a lot cooler, though.
disarticulate — 2014-06-20T16:01:53-04:00 — #13
I just wish some brave entrepreneur would invest in the 1-sided die:
liquidself — 2014-06-20T16:15:14-04:00 — #14
Very innovative; very exciting. I wonder could they make a seven sided dice this way? So far the closest I ve seen is the 14 sided dice (which you could just number 1 to 7 twice). Rolling 2 4 siders and subtracting 1 just isn t satisfying somehow. actually, looking at it now, I see it s kind of a variation on a cylinder type die; though very cool looking and a more probably more satisfying to roll.
ctg — 2014-06-20T16:24:08-04:00 — #15
..didn't know you could make such a thing!
Nothing difficult about the object at all. Here's a quickie 5-sided roller that took about 5 minutes to 3D model. Another 5 minutes and the ends could've been modeled similar to the pictured version or just do dome/conic end-caps.
T-Splines modeling recipe: Start with 10-segment torus, select 5 alternating faces along the top. Extrude to create spars. Mirror entire object along x-plane. Bridge connect individual ends of the spars. Deploy Rhino's Twist command.
jardine — 2014-06-20T17:12:56-04:00 — #16
ctg — 2014-06-20T17:24:17-04:00 — #17
could they make a seven sided dice this way?
Googling 7-sided dice shows mostly a pentagon extruded in a cylinder style. I are no mathematician, but the different shapes of the faces themselves would alter the outcome, no? Here's a quickie variation of the die...
and now uploaded to Thingiverse for all...
liquidself — 2014-06-20T17:55:10-04:00 — #18
wow that s great! I love it!
d_r — 2014-06-20T18:08:44-04:00 — #19
A couple of snips and half-twists and they could have had a 3-sided die that has only one actual side (ignoring the edges).
willondon — 2014-06-20T20:40:54-04:00 — #20
Interesting and awesome. It doesn't seem practical for most board games, though. You could probably use it with "Sorry!" or "Life" without changing the game too much.
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