From: Dominikus Scherkl (email@example.com)
Date: Tue Jan 12 2010 - 15:40:52 CST
-----BEGIN PGP SIGNED MESSAGE-----
Am 10.01.2010 21:43, schrieb Marcin 'Qrczak' Kowalczyk:
> 2010/1/10 verdy_p <firstname.lastname@example.org>:
>> Hmmm.. due to the spacial distribution of weight, the center of gravity will be WITHIN the half-sphere,
> Not necessarily if the pyramid is long enough, and/or the half sphere
> is actually less than half. Then resting on the top of the half sphere
> would be an unstable equilibrium.
> Instead of half sphere we can also have 7 faces with wider angles,
> such that the dice laying on one of them has the center of gravity
> above a point lying outside the face. Then the only stable resting
> positions are on the remaining 7 faces.
The usual way to design odd-sided dice is to take twice as many sides
and number them double (so two sides bearing the "1" and so on).
And than you can build a long stick with that many edges and rounded
ends. So a slice of the stick would be a simple 14-hedron.
This is easy to design equaly distributed (Laplace).
The other way would be paste two seven-sided pyramids turned a half
face against each other and "smear" the pasted edge into a zig-zag line.
For 10-sided dice this is so common that you can buy such in any fantasy
shop - they are called "gems". Take a look.
-----BEGIN PGP SIGNATURE-----
Version: GnuPG v1.4.10 (MingW32)
Comment: Using GnuPG with Mozilla - http://enigmail.mozdev.org/
-----END PGP SIGNATURE-----
This archive was generated by hypermail 2.1.5 : Tue Jan 12 2010 - 15:47:25 CST