Science Memes

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Mandelbrot (mander.xyz)

submitted 6 months ago by [email protected] to c/[email protected]

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[–] [email protected] 13 points 6 months ago* (last edited 6 months ago) (2 children)

Not a ~~mathematician~~ fractologist. Does the boundary have infinite length, or just infinite detail?

[–] [email protected] 23 points 6 months ago

Yes

[–] [email protected] 3 points 6 months ago (1 children)

It can't have infinite length without infinite detail if you think about it.

[–] [email protected] 1 points 6 months ago* (last edited 6 months ago)

Not in a finite space, no. But it could have infinite detail without infinite length (like the square with corners folded in to approximate a circle).