glaebhoerlJan 18, 2025
bornach

Illustrated fake-proof that π=4

The length of the green border is constant; always 4 times the diameter of the circle yet it can be made to approach arbitrarily close to the circumference
#genuary #genuary17 #genuary2024 #CreativeCoding #Processing #Mathsodon #maths #mathematics #geometry

Jan 17, 2025 at 1:01amWeb
Show threadSebastian KrzyszkowiakJan 17, 2025
@bornach ah yes, the Pythagorean theorem, a+b=c 😁
Show threadPanicz Maciej GodekJan 17, 2025
@bornach makes me wonder how long is the coast of Britain
Show threadExtreme ElectronicsJan 17, 2025
@PaniczGodek @bornach Infinite.
Show threadmathewJan 17, 2025
@Extelec @PaniczGodek @bornach Maybe not if you measure it in Planck lengths.
Show threadExtreme ElectronicsJan 17, 2025
@mathew @PaniczGodek @bornach Fair point, but still "relatively large"
Show threadPanicz Maciej GodekJan 17, 2025

@Extelec

more specifically, I was referring to this: http://li.mit.edu/Stuff/CNSE/Paper/Mandelbrot67Science.pdf

@mathew @bornach

Show threadExtreme ElectronicsJan 17, 2025

@PaniczGodek @mathew @bornach OK someone has written a paper on that.

I always knew of the problem, but not any analysis. should be an interesting read. Thanks

Show threadPanicz Maciej GodekJan 17, 2025

@Extelec

It's a classic, from Benoit Mandelbrot (of Mandelbrot set fame, and not coincidentally)

@mathew @bornach

Show threadExtreme ElectronicsJan 18, 2025

@PaniczGodek @mathew @bornach I probably missed it, because I was too young to care :)

Thanks for posting though

Show threadMark DominusJan 17, 2025
@bornach