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#12 | |
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"Lucan"
Dec 2006
England
2·3·13·83 Posts |
Quote:
Now what is a rod/pole/perch? David PS There are some folk don't know what 1/6 th of a gill is. Last fiddled with by davieddy on 2011-06-11 at 10:11 |
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#13 |
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Dec 2010
Monticello
70316 Posts |
As for that die, well, go ahead and just use the 20 sided die from D&D....and toss it 4 times. If the sequence of such numbers (itnerpreted base 20) comes up 0,0,0,0, place the milestone...if it ocmes up above 63,360, repeat the sequence.
Now, if your hands get callussed doing that, and you decide it's better to ask the computer, I'm pretty sure you will end up with a discrete poisson distribution.....well-approximated by the continuous poisson distribution which is what we meant anyway...and it will be reasonably approximated by a continuous normal distribution of the total number of the number of millstones. If I was a decent math student, I'd be giving the standard deviation here. @NBTarheel: How were you planning on adjusting the probability that that marble (whch CAN'T be a regular polyhedron in 3-space, since we ARE on a computational number theory forum) would come up with the "0" on top to 1:63,630 ? |
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#14 | |
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6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2·3·7·233 Posts |
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#15 | |
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"Lucan"
Dec 2006
England
2×3×13×83 Posts |
Quote:
Just shave it on 63360 sides. Might need to invent a few more ways to be "Out" though. Last fiddled with by davieddy on 2011-06-11 at 16:07 |
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#16 | |
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"Lucan"
Dec 2006
England
11001010010102 Posts |
Quote:
Already taken that on board. Anyone else out there agree with us? David |
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#17 | |
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"Lucan"
Dec 2006
England
11001010010102 Posts |
Quote:
Do I detect a touch of false modesty here? Much of my counting/probability nous comes from a love of "statistical mechanics" (among a few other things) at Oxford. Whether you keep the energy, temperature or number of particles constant depends on the simplest/most relevant way of getting the answer. If you argue with that, you are in Maxwell's Demon country. (Great Man BTW) If you find a millstone from Chigago nunbered N in the manner I suggested, the expected distance from Chicago would be N +/- sqrN miles. However, if the distance from Chicago to LA were 2001 miles and you placed 2000 millstones "randomly" between them, then numbered them in order, the error in the the distance would diminish as you approached LA. David Last fiddled with by davieddy on 2011-06-11 at 18:14 |
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#18 |
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"Lucan"
Dec 2006
England
2·3·13·83 Posts |
Carbon 60?
60 vertices??? What on earth might that structure be? He'd obviously never seen the world cup football in Mexico 1970, or built a truncated icosohedron in his sad life. Wonder if he had heard of Euler's F + V = E - 2 Or even that 5 times 12 = 60 ? David Last fiddled with by davieddy on 2011-06-11 at 20:13 |
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#19 |
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Dec 2010
Monticello
5·359 Posts |
Never played "pencil cricket", but I like the idea of just rolling an extruded regular polygon -- a cylinder with flat sides....wonder why that never showed up in D&D?
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#20 |
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"Lucan"
Dec 2006
England
2×3×13×83 Posts |
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#21 |
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Dec 2010
Monticello
70316 Posts |
It's only a prism if there are three sides....the rest are "rod" shapes....
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#22 |
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Undefined
"The unspeakable one"
Jun 2006
My evil lair
140648 Posts |
Or make it a proper cylinder with the only flat sections being at the ends (like a standard tin can) and adjust the length so that there is a 1 in 63360 chance it will land on one of the flat ends.Yes, it doesn't need to be a live update. Once per day would be perfectly adequate.
Last fiddled with by retina on 2011-06-12 at 03:17 |
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