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parab
Example: When ''m'' = 4 the triple produced is 8, 15, and 17
Example: When ''m'' = 4 the triple produced is 8, 15, and 17
(This formula is another specific case of method I, substituting ''n'' with 1).
(This formula is another specific case of method I, substituting ''n'' with 1).
If one creates a scatter plot of Pythagorean triples, then patterns emerge in the form of parabolas of point densities. Albert Fässler and others provide insights into the significance of these parabolas in the context of conformal mappings.<ref>[http://conservancy.umn.edu/handle/4878 1988 Preprint] See Figure 2 on page 3., later published as {{citation |first=Albert |last=Fässler |title=Multiple Pythagorean number triples |journal=American Mathematical Monthly |volume=98 |issue=6 |pages=505–517 |date=June–July 1991 |jstor=2324870 |doi=10.2307/2324870}}</ref><ref>{{citation |first1=Manuel |last1=Benito |first2=Juan L. |last2=Varona |title=Pythagorean triangles with legs less than ''n'' |journal=Journal of Computational and Applied Mathematics |volume=143 |pages=117–126 |date=June 2002 |doi=10.1016/S0377-0427(01)00496-4 |url=http://www.sciencedirect.com/science/article/pii/S0377042701004964}} as [http://www.unirioja.es/cu/jvarona/downloads/Benito-Varona-JCAM-Publicado.pdf PDF]</ref>
==Notes==
==Notes==