From: Marcin 'Qrczak' Kowalczyk (firstname.lastname@example.org)
Date: Sun Jan 10 2010 - 14:43:20 CST
2010/1/10 verdy_p <email@example.com>:
> 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.
-- Marcin Kowalczyk
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