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Mathematics Commons

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2008

Selected Works

Cones

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Full-Text Articles in Mathematics

On A = Mp Heronian Triangles And V = Ma Cones, John Hawkins, David Stone Mar 2008

On A = Mp Heronian Triangles And V = Ma Cones, John Hawkins, David Stone

John B. Hawkins

A determining all such triangles with area = m (perimeter). We also consider the analogous problem of finding cones with integer radius and height satisfying volume = m (total surface area). Recent activity and results on both problems have appeared recently in the School Science and Mathematics Problem Section and in the Mathematics Magazine, where our conjecture that the largest A = mP triangle is m2 +2, (4m2 +1)2,(16m4 +12m2) +1 was settled affirmatively.