Tuesday, January 18, 2011

Pythagorean Shrine


This lovely Pythagorean Triple Scattershot image created by Trigonometrist Michael Taylor, charts the ??location??results?? (haha, whooo outta my league) of every calculation for this:

"... Pythagorus’s Theorem works for powers of two but not for higher powers. In 2007, mathematician Sam Daoud plotted Pythagorean triples for right-angled triangles with non-hypotenuse side-lengths up to 4500 – a staggering total of 11730 value pairs. What is remarkable is that there are some obvious and some less-obvious patterns which are explainable. For example, whenever the legs (a,b) of a Pythagorean triple appear in the plot, all integer multiples of (a,b) must also appear in the plot. This produces the appearance of lines radiating from the origin. There are also sets of parabolic patterns with a high density of points and all their foci at the origin:"

I tell you, that Greek was in some deep understanding, look at the dance of pattern applied in a new orchestration. He was already strumming the tune.

I also love the code itself, 93 pages of microsoft word, here was the end of it, filling the screen after I opened the file in Notepad. I love the 21st Century and 2700-year-old Isle of Samos Man, whose birth was foretold by the Apollo's messenger, the Pythia of Delphi.


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