Geodesic
On the Generation of Heronian Triangles
Serdica Journal of Computing, Tome 2 (2008) no. 2, pp. 181-196.

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We describe several algorithms for the generation of integer Heronian triangles with diameter at most n. Two of them have running time O(n^(2+ε)). We enumerate all integer Heronian triangles for n ≤ 600000 and apply the complete list on some related problems.
Keywords: Heron Triangles, System of Diophantine Equations, System of Diophantine Equations, Triangles with Rational Area, Perfect Pyramids 
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Kurz, Sascha. On the Generation of Heronian Triangles. Serdica Journal of Computing, Tome 2 (2008) no. 2, pp. 181-196. http://geodesic.mathdoc.fr/item/SJC_2008_2_2_a5/