RE: https://mathstodon.xyz/@johndcook/117438977600216501
Interactive vision of this generalization of the #Pythagorean #theorem :
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5 results for “pythagorus”
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Hunt primitive Pythagorean triples with #Python
#!/usr/bin/python3
import sys,math
n = int(sys.argv[1])
print([(x,y,z) for x in range(1,n+1) for y in range(x,n+1,1) for z in range(y,n+1,1) if x**2 + y**2 == z**2 and math.gcd(x,y) == 1]) -
Resistor networks frame a Pythagorean generalization, then get discarded for triangles. A 1986 footnote for people who still believe in the future.
https://www.johndcook.com/blog/2026/10/14/pythagorean-variation/ -
https://www.europesays.com/3316018/ Integrating Pythagorean fuzzy numbers into the graph model to resolve water resource conflicts in the Yellow River Basin #ConflictsOverSustainableWaterResourceDevelopment #engineering #EnvironmentalSocialSciences #GraphModelForConflictResolution #HumanitiesAndSocialSciences #InternationalResourceConflict #MathematicsAndComputing #multidisciplinary #PythagoreanFuzzyValues #ResourceConflict #science #TrustRelationships #YellowRiver
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I'm doing some calculations for some 3d modelling I'm doing, and it just occurred to me that the formula for a circle, $x^2+y^2 = r^2$, is the pythagorean theorem. Given the two are filed away separately in my brain, I don't think younger me realised this when learning this stuff, which is a little embarrassing.