brian a m stuckless
science forum Guru
Joined: 31 Aug 2005
Posts: 2024
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 Posted: Sun Jun 18, 2006 11:32 am Post subject:
Penrose eggs.
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$$ Gerard Westendorp wrote: >
| Quote: | My son was boiling 6 eggs, and we noticed that the eggs formed
a kind of close packing, but pentagonal, instead of hexagonal.
Very vaguely, a bit like this:
3333 555
3333 5555
222 111 555
22222 11111
222 111 666
4444 6666
4444 666
All eggs touch at leat 3 others, and the middle on touches all 5
others. I was a bit intrigued. Maybe some connection to penrose
tiles? > > Gerard
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1. | Date: Sun, 11 Jun 2006 01:28:00 +0000 (UTC)
| From: Bossavit <Bossavit@lgep.supelec.fr>
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| Isn't it half of a dodecahedron (one egg per face, and by glide
| symmetry with the horizontal plane)?
2. || From: "Russel Sprout" <steve@idontthinkso.net>
||
|| Where else would they go?
$$ NATURE only assigns HEXAGONAL symmetry to SEVEN (7) boiling eggs.
$$ Where the MiNiMUM hexagon formed by boiling eggs is (n - 1) eggs.
$$
$$ 666666 111111
$$ 6666666611111111
$$ 666666 111111
$$ 555555 777777 222222
$$ 555555557777777722222222
$$ 55555 777777 222222
$$ 444444 333333
$$ 44444444333333333
$$ 444444 333333 ..Penrose eggs.
$$
$$ [A better illustration of the hexagonal "kissing"-symmetry ANALOGY].
$$ NATURE assigns HEXAGONAL symmetry to SEVEN (7) boiling eggs at once.
$$ Try boiling SEVEN (7) eggs at once ..instead of six. End of POST. |
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