On the Generation of Heronian Triangles

Authors

  • Sascha Kurz

DOI:

https://doi.org/10.55630/sjc.2008.2.181-196

Keywords:

Heron Triangles, System of Diophantine Equations, Triangles with Rational Area, Perfect Pyramids

Abstract

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.

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Published

2008-07-24

Issue

Vol. 2 No. 2 (2008)

Section

Articles