Penrose eggs.

[Brian A M]

$$ 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
>
> 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 ..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.