Re: Integer tetrahedron

Dr Tim wrote:
> Conjecture: Every tetrahedron with integer edges
> and integer volume has a volume divisible by 24.

I found an integer-sided tetrahedron with volume 6
and conjectured that this is the one with the smallest volume.
See Mathematics Magazine Problem 1261, volume 61 (1988) page 119.

In 4-space, a simplex with integer edges can have
volume 1. I give an example in my solution
to problem E3279 in the American Mathematical Monthly,
volume 97 (1990) page 75.

Stanley Rabinowitz
http://www.MathProPress.com

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