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Forum index » Science and Technology » Physics » Electromagnetics
Penrose egg.
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brian a m stuckless
science forum Guru


Joined: 31 Aug 2005
Posts: 2024

PostPosted: Sat Jun 24, 2006 9:30 pm    Post subject: Penrose egg. Reply with quote

$$ 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

1. | Date: Sun, 11 Jun 2006 01:28:00 +0000 (UTC)
| From: Bossavit <Bossavit@lgep.supelec.fr>
|
| 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 ..a Penrose egg pattern.
$$
$$ Curiously, the egg-centre-to-centre pattern is a "Penrose tiling".
$$
$$ Nature assigns hexagonal symmetry to seven (7) boiling eggs at once.
$$ Try boiling seven (7) eggs, at once ..instead of six, Mr Westendorp.

p.s. Corrected (eliminated) redundant capitalizations as per moderator.

Re: Penrose egg. End of 2nd draft to < sci.physics.research > POST.
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Joachim Pimiskern
science forum beginner


Joined: 05 Mar 2006
Posts: 5

PostPosted: Sun Jun 25, 2006 11:58 am    Post subject: Re: Penrose egg. Reply with quote

brian a m stuckless schrieb:
Quote:
$$ Gerard Westendorp wrote:
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


This resembles the honeycomb lattice from a
self-organization experiment:

http://www.eurekalert.org/pub_releases/2005-11/pu-ndc113005.php

Regards,
Joachim
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