🚀 go-pugleaf

In article <1992Dec15.233405.2306@muddcs.claremont.edu>
jhoste@kuju.claremont.edu (Jim Hoste) writes:
 
>
>Next semester I will be teaching an elementary probability class
>structured around the theme of games and gambling. I want to include some
>material on loaded dice. Surely someone has worked out the physics of
>rolling a die (in the shape of a cube) whose center of mass is not in the
>center of the die. What are the probablities of landing on the various
>faces as a function of the location of the center of mass? The same
>question can be asked for dice in the shape of other polyhedron,
>homogenious or not.
>	I am also interested in the following related question:
>Can one create a die having n faces where the probability of landing on
>each of the faces is given in advance?  This is certainly true if *die* is
>interpreted fairly loosely. Somebody must have worked this out already.
>	Can anyone recommend any good articles on these topics?
>	I will summarize the replies that I receive.
>	Thanks, Jim Hoste
>
>ps I am also posting to:
>	rec.gambling
>	sci.math
>	sci.physics
See Letter to Editor re Kemp & Kemp, The American Statistician, August
1992, Vol. 46, No 3, pp. 239-240.  Says  spots on most dice are
countersunk, which throws the center of gravity off.  Also, since
6 is opposite to 1, 5 to 2, etc., there is a predictable bias.
                       Phil Emerson
                       Cleveland State University