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| Title: | Mathematics at DEC |
|
| Moderator: | RUSURE::EDP |
|
| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
391.0. "Integer vol of isos tetr" by TOOLS::STAN () Thu Nov 28 1985 01:03
In Crux Mathematicorum 11(1985)163, Richard Guy asks for an
isosceles tetrahedron with integer edges, area of faces an integer,
and integer volume. This is equivalent to solving
2
16A = (a+b+c)(b+c-a)(c+a-b)(a+b-c)
and
2 2 2 2 2 2 2 2 2 2
72V = (b + c - a )(c + a -b )(a + b - c )
in integers. He gives a solution, (a,b,c)=(148,195,203).
The question is: Is there a smaller solution?
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