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
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/
@article{SJC_2008_2_2_a5,
author = {Kurz, Sascha},
title = {On the {Generation} of {Heronian} {Triangles}},
journal = {Serdica Journal of Computing},
pages = {181--196},
year = {2008},
volume = {2},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SJC_2008_2_2_a5/}
}