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brian a m stuckless
science forum Guru

Joined: 31 Aug 2005
Posts: 2024

Posted: Sat Jun 24, 2006 9:30 pm    Post subject: Penrose egg.

\$\$ 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.
Joachim Pimiskern
science forum beginner

Joined: 05 Mar 2006
Posts: 5

Posted: Sun Jun 25, 2006 11:58 am    Post subject: Re: Penrose egg.

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:

Regards,
Joachim

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