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26829
... cause ... forces ... Because if an IVM cuboctahdron shaped ball cluster where to transmorm into a sphere, some or all of the ball would have to jitterbug...
Dick Fischbeck
dick_fischbeck
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Apr 1, 2006
12:37 pm
26830
http://www.kennethsnelson.net/qtvr/octa.htm http://www.kennethsnelson.net/qtvr/tetra.htm...
Dick Fischbeck
dick_fischbeck
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Apr 1, 2006
12:44 pm
26831
Hi Alan ... Yahoo says I am not a member of the group GeoJourney. ... [The links below are symmetry references and don't necessarily show the described shape] ...
Adrian Rossiter
adrianrossiter
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Apr 1, 2006
3:09 pm
26832
Adrian Rossiter <adrian_r@...> wrote: Hi Alan ... Yahoo says I am not a member of the group GeoJourney. ... this above shape gives a feeling how...
tim stockton
lumburgzero
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Apr 1, 2006
3:23 pm
26833
Adrian, You might like to sign up for geojourney to have access to the photos for reference. There are the usual options to not have email or daily digests if...
Jim Lehman
lehman98660
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Apr 1, 2006
4:28 pm
26834
After trying to pack 100,000 (took a week, didn't work very well), and thus having my computer back, I played for a bit this AM and for no particular reason...
John Brawley
voodoo1776
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Apr 1, 2006
5:42 pm
26835
Those may seem primitive, but it's amazing what you can do with home-made sticks!...
Alan Michelson
alanmich2005
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Apr 1, 2006
6:03 pm
26836
... Usually, only the Message Archives may be public. You usually have to join in for the other features such as Files and Photos....
Alan Michelson
alanmich2005
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Apr 1, 2006
6:07 pm
26837
Still playing.... 1161 in 5.70252 (max o'lap 1.88x10^-15) 1167 in 5.71024 (max o'lap 2.2x10^-11) That last is _ten more balls_ than are in the Waterman, and...
John Brawley
voodoo1776
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Apr 1, 2006
6:18 pm
26838
Just finished messing with Steve's 1157-ball Waterman (I forget which W-number it is; the radius --minus the 0.5 we both exclude because we detect ballcenters...
John Brawley
voodoo1776
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Apr 1, 2006
7:16 pm
26839
CORRECTION: 5.7335 is _my_ old radius. Steve's for that W-poly is 5.7445, so I _ain't_ done yet. Peace JB jb@... Web:...
John Brawley
voodoo1776
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Apr 1, 2006
7:34 pm
26840
For 1155 balls, according to IVM packing: ((10 / 3) * (6.5^3)) + (5 * (6.5^2)) + ((11 / 3) * 6.5) + 1 = 1 151.5 F=6.5 425, 305, 205, 125, 65, 25, 5 Dick...
Dick Fischbeck
dick_fischbeck
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Apr 1, 2006
7:51 pm
26841
Well, I was wrong: I can get 1187 balls into radius 5.7445 (the W radius for that Waterman). (It's actually 5.7433, but I can't (yet) get another ball in,...
John Brawley
voodoo1776
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Apr 1, 2006
8:23 pm
26842
INteresting. I wonder if I'm getting 'optimal' for RJP? I just surprised myself by getting _1187_ balls into a hair less than the same radius that Steve's...
John Brawley
voodoo1776
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Apr 1, 2006
8:27 pm
26843
The cumulative packing formula is for the total number of balls in a cuboctahedron, not a Waterman. Both are CCP. And no, I don't think fractional...
kirby urner
pdx4d
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Apr 1, 2006
11:23 pm
26844
Hi Kirby. I tend to agree with you. So does Steve. However, there's also apparently a 'stepwise' sequence of which packs better. The one I packed and beat...
John Brawley
voodoo1776
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Apr 2, 2006
12:13 am
26845
... What does RJP stand for again? Kirby...
kirby urner
pdx4d
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Apr 2, 2006
1:01 am
26846
Random Jammed Packing. (Pour the balls into a container --box-- ; shake it.) Pardon my word-cutesiness; I tend to neologize by smashing wordthings together,...
John Brawley
voodoo1776
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Apr 2, 2006
2:47 am
26847
... Random Jammed Packing...
Alan Michelson
alanmich2005
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Apr 2, 2006
3:50 am
26848
Correction: _64%_, not 54. ... From: "John Brawley" <jb@...> To: <synergeo@yahoogroups.com> Sent: Saturday, April 01, 2006 8:40 PM Subject:...
John Brawley
voodoo1776
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Apr 2, 2006
5:05 am
26849
... Best - in what sense? I reckon the optimal packing density for spheres (as n->oo) is going to be the CCP figure - which seems to be 74.05%....
Tim Tyler
tt2333
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Apr 2, 2006
10:58 am
26850
Hi Kirby and All ... In a sphere contained Waterman pack the potential volume lost from partial CCP balls cut at the surface increases in a roughly square ...
Adrian Rossiter
adrianrossiter
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Apr 2, 2006
11:30 am
26851
... CCP right out to the edge isn't going to be optimal, though. Instead you'll get the 3D version of: ...
Tim Tyler
tt2333
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Apr 2, 2006
1:57 pm
26852
... Another synergetics note: To get this density, multiply your (4/3)*math.pi*(r**3) by the 3rd power of the Synergetics Constant and ratio it to Six, the...
kirby urner
pdx4d
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Apr 2, 2006
4:03 pm
26853
... Are you sure then? Because in the picture you showed me I saw I lot of breakup and I wondered if that space was trully recovered in the few extra balls...
kirby urner
pdx4d
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Apr 2, 2006
4:11 pm
26854
... From: "Tim Tyler" <tt2333@...> To: <synergeo@yahoogroups.com> Sent: Sunday, April 02, 2006 5:57 AM Subject: [synergeo] Sphere packing density ... ...
John Brawley
voodoo1776
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Apr 2, 2006
5:39 pm
26855
For Tim, et.al.: Expanding on my : "...and at least one direct _physical_ experiment involving 500 1/2" acrylic balls, have shown)..." (Some of you may...
John Brawley
voodoo1776
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Apr 2, 2006
5:40 pm
26856
(Pardon; I write much on a subject dear, hence am crossposting to S.) From: "Steve Waterman" <swaterman@...> JB, One other thing, I would...
John Brawley
voodoo1776
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Apr 2, 2006
7:19 pm
26857
http://www.livescience.com/forcesofnature/050928_quicksand.html ...."The researchers simulated a quicksand pit in the lab and placed an aluminum ball of...
rybo6
os_jbug
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Apr 2, 2006
8:56 pm
26858
http://web.mit.edu/8.712/www/lecture3/tsld016.htm ..."Below phase boundary the hadronic density is high any small increase in density makes a plasma !!! ...
rybo6
os_jbug
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Apr 2, 2006
9:04 pm
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