Everything You Wanted to Know about Triangles but Were Afraid to Ask

Pythagorean triangles with integral sides have been the subject of a huge amount of mathematical inquiry. For example, Albert Beiler, author of Recreations in the Theory of Numbers, has been interested in Pythagorean triangles with large consecutive leg values. These triangles are as rare as diamond...

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Bibliographic Details
Published inWonders of Numbers
Main Author Pickover, Clifford A.
Format Book Chapter
LanguageEnglish
Published New York, NY Oxford University Press 04.01.2001
Subjects
Mathematics
Physics
Science and Mathematics
Pythagorean
triangles
diamonds
integral
mathematical
Online AccessGet full text
ISBN9780195133424
0195133420
DOI10.1093/oso/9780195133424.003.0099

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Summary:Pythagorean triangles with integral sides have been the subject of a huge amount of mathematical inquiry. For example, Albert Beiler, author of Recreations in the Theory of Numbers, has been interested in Pythagorean triangles with large consecutive leg values. These triangles are as rare as diamonds for small legs. Triangle 3-4-5 is the first of these exotic gems. The next such one is 21-20-29. The tenth such triangle is quite large: 27304197-27304196-38613965.
ISBN:9780195133424
0195133420
DOI:10.1093/oso/9780195133424.003.0099