# On the Generation of Heronian Triangles

Serdica Journal of Computing (2008)

- Volume: 2, Issue: 2, page 181-196
- ISSN: 1312-6555

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topKurz, Sascha. "On the Generation of Heronian Triangles." Serdica Journal of Computing 2.2 (2008): 181-196. <http://eudml.org/doc/11461>.

@article{Kurz2008,

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.},

author = {Kurz, Sascha},

journal = {Serdica Journal of Computing},

keywords = {Heron Triangles; System of Diophantine Equations; System of Diophantine Equations; Triangles with Rational Area; Perfect Pyramids; algorithms; Heron triangles; system of diophantine equations; triangles with rational area; perfect pyramids},

language = {eng},

number = {2},

pages = {181-196},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On the Generation of Heronian Triangles},

url = {http://eudml.org/doc/11461},

volume = {2},

year = {2008},

}

TY - JOUR

AU - Kurz, Sascha

TI - On the Generation of Heronian Triangles

JO - Serdica Journal of Computing

PY - 2008

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 2

IS - 2

SP - 181

EP - 196

AB - 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.

LA - eng

KW - Heron Triangles; System of Diophantine Equations; System of Diophantine Equations; Triangles with Rational Area; Perfect Pyramids; algorithms; Heron triangles; system of diophantine equations; triangles with rational area; perfect pyramids

UR - http://eudml.org/doc/11461

ER -

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