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Estimation quiz!
08-03-2020, 07:56 AM
Post: #37
RE: Estimation quiz!
Excellent - so 23 is a solid answer, and Valentin's estimate of 23 is spot-on. Valentin, that's a very good estimate indeed, and I'd love to know how you approached it.

As for the likelihood of performing this feat with real Moons, well, yes, as the Moon has enough matter to pull itself into something of a spherical shape, then an assemblage of several is doomed to become solidly spherical in due course. However, as the old joke has it "consider a spherical cow." Or in this case, some scale models of the Moon in the form of marbles.

Nice links found - thanks for sharing - but this quote
> The classical sphere packing problem, still unsolved even today
has become out of date. Kepler's conjecture has been proved, some ten years after this book, and then formally proven some 16 years later.

It's interesting, I think, that a random packing of spheres (or marbles) will have a density around 65%, the closest packing achieves a density of 74%, but the constraint of fitting into a sphere reduces us to about 47%. That's comparable to this surprising result: "The strictly jammed sphere packing with the lowest density is a diluted fcc crystal with a density of only 0.49365"
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Messages In This Thread
Estimation quiz! - EdS2 - 07-30-2020, 10:54 AM
RE: Estimation quiz! - Paul Dale - 07-30-2020, 11:27 AM
RE: Estimation quiz! - cruff - 07-30-2020, 01:00 PM
RE: Estimation quiz! - Paul Dale - 07-30-2020, 01:04 PM
RE: Estimation quiz! - cruff - 07-31-2020, 12:01 AM
RE: Estimation quiz! - KeithB - 07-30-2020, 01:56 PM
RE: Estimation quiz! - Paul Dale - 07-30-2020, 10:25 PM
RE: Estimation quiz! - Albert Chan - 07-30-2020, 02:13 PM
RE: Estimation quiz! - Werner - 07-30-2020, 02:24 PM
RE: Estimation quiz! - Massimo Gnerucci - 07-30-2020, 02:34 PM
RE: Estimation quiz! - Albert Chan - 07-30-2020, 03:10 PM
RE: Estimation quiz! - rprosperi - 07-30-2020, 04:20 PM
RE: Estimation quiz! - Werner - 07-30-2020, 05:37 PM
RE: Estimation quiz! - Albert Chan - 07-30-2020, 06:10 PM
RE: Estimation quiz! - rprosperi - 07-30-2020, 08:03 PM
RE: Estimation quiz! - EdS2 - 07-31-2020, 01:26 PM
RE: Estimation quiz! - Paul Dale - 07-31-2020, 01:40 PM
RE: Estimation quiz! - Valentin Albillo - 07-31-2020, 02:33 PM
RE: Estimation quiz! - Paul Dale - 08-01-2020, 01:09 AM
RE: Estimation quiz! - EdS2 - 08-01-2020, 06:48 AM
RE: Estimation quiz! - Thomas Okken - 08-01-2020, 07:30 AM
RE: Estimation quiz! - Massimo Gnerucci - 08-01-2020, 10:09 AM
RE: Estimation quiz! - Valentin Albillo - 08-01-2020, 11:16 PM
RE: Estimation quiz! - ijabbott - 08-01-2020, 05:24 PM
RE: Estimation quiz! - johanw - 08-01-2020, 08:41 PM
RE: Estimation quiz! - J-F Garnier - 08-02-2020, 07:56 AM
RE: Estimation quiz! - SlideRule - 08-02-2020, 12:23 PM
RE: Estimation quiz! - Paul Dale - 08-02-2020, 01:10 PM
RE: Estimation quiz! - EdS2 - 08-02-2020, 03:13 PM
RE: Estimation quiz! - Valentin Albillo - 08-02-2020, 04:02 PM
RE: Estimation quiz! - Maximilian Hohmann - 08-02-2020, 05:04 PM
RE: Estimation quiz! - Valentin Albillo - 08-02-2020, 05:54 PM
RE: Estimation quiz! - Maximilian Hohmann - 08-02-2020, 09:01 PM
RE: Estimation quiz! - Albert Chan - 08-02-2020, 11:36 PM
RE: Estimation quiz! - SlideRule - 08-02-2020, 11:04 PM
RE: Estimation quiz! - Albert Chan - 08-02-2020, 05:41 PM
RE: Estimation quiz! - EdS2 - 08-03-2020 07:56 AM
RE: Estimation quiz! - Albert Chan - 08-03-2020, 11:00 AM
RE: Estimation quiz! - pinkman - 08-03-2020, 03:08 PM
RE: Estimation quiz! - SlideRule - 08-03-2020, 11:57 AM
RE: Estimation quiz! - Valentin Albillo - 08-03-2020, 03:10 PM
RE: Estimation quiz! - KeithB - 08-03-2020, 01:54 PM
RE: Estimation quiz! - EdS2 - 08-03-2020, 03:22 PM
RE: Estimation quiz! - SlideRule - 08-03-2020, 03:49 PM
RE: Estimation quiz! - EdS2 - 08-04-2020, 10:17 AM
RE: Estimation quiz! - Thomas Okken - 08-04-2020, 12:33 PM
RE: Estimation quiz! - EdS2 - 08-07-2020, 06:57 AM
RE: Estimation quiz! - Thomas Okken - 08-07-2020, 09:03 AM
RE: Estimation quiz! - Albert Chan - 08-07-2020, 12:56 PM
RE: Estimation quiz! - EdS2 - 08-08-2020, 07:35 AM
RE: Estimation quiz! - Albert Chan - 08-08-2020, 05:01 PM
RE: Estimation quiz! - Csaba Tizedes - 08-04-2020, 11:25 AM
RE: Estimation quiz! - Csaba Tizedes - 08-07-2020, 02:06 PM
RE: Estimation quiz! - Albert Chan - 08-05-2020, 02:29 PM
RE: Estimation quiz! - KeithB - 08-05-2020, 03:38 PM
RE: Estimation quiz! - Albert Chan - 08-05-2020, 04:22 PM
RE: Estimation quiz! - StephenG1CMZ - 08-05-2020, 06:12 PM
RE: Estimation quiz! - EdS2 - 08-08-2020, 05:25 PM
RE: Estimation quiz! - KeithB - 08-13-2020, 01:41 PM
RE: Estimation quiz! - Albert Chan - 08-16-2020, 11:24 AM



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