Re: Seven-sided die (was Re: This just in)

From: Marcin 'Qrczak' Kowalczyk (
Date: Sun Jan 10 2010 - 14:43:20 CST

  • Next message: verdy_p: "Re: Seven-sided die (was Re: This just in)"

    2010/1/10 verdy_p <>:

    > 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

    This archive was generated by hypermail 2.1.5 : Sun Jan 10 2010 - 14:45:52 CST