Re: Integer tetrahedron

Dr Tim wrote:
> The smallest I've found is 4, 7, 7, 7, 7, 6,
> with the 4 opposite the 6.

I think this is the smallest.

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

Actually no. If the edges of a tetrahedron are
(a, b, c, d, e, f) where abc is the base triangle
and a-d, b-e and c-f are opposed, then
(11, 15, 16, 11, 15, 11) has a volume of 210.

I think you'll be interested in Table 1 of
http://www.geocities.com/teufel_pi/papers/perfectpyramids.pdf

.

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    ... Dr Tim wrote: ... > Conjecture: ... I found an integer-sided tetrahedron with volume 6 ... a simplex with integer edges can have ...
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