this post was submitted on 27 Apr 2024
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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] 9 points 6 months ago

Don’t look closer, or you won’t be able to come out ever again.

[–] [email protected] 4 points 6 months ago

It definitelly doesn't pay to be detail-oriented when doing a fractal lawn...

[–] [email protected] 15 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] 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).

[–] [email protected] 24 points 6 months ago

Yes

[–] [email protected] 12 points 6 months ago

Mandlebrotwurst. Infinite sausage.

[–] [email protected] 3 points 6 months ago

Just more turtles all the way down.

[–] [email protected] 46 points 6 months ago (1 children)

What does the 'B' in Benoit B. Mandelbrot stand for?

Benoit B. Mandelbrot

[–] [email protected] 8 points 6 months ago

'I'm so meta even this acronym'

[–] [email protected] 25 points 6 months ago* (last edited 6 months ago) (1 children)

Semi related: There's a cool rabbit hole you can dive into when it comes to coastline lengths of some countries. Specifically the UK.

Depending on who measured the coastline and with which method the results can be wildly different because there's always some form of simplification required. See this video for example: Link

[–] [email protected] 1 points 6 months ago

Try Canada on for size.

[–] [email protected] 56 points 6 months ago

I actually met Benoit Mandelbrot when I was an intern at IBM's T. J. Watson research center in the late '80s. I was randomly walking around the building and passed by a tiny office with "B. Mandelbrot" on the door. I stuck my head in, saw an old bald dude sitting there and said "are you the Bernard Mandelbrot?" He said "yes" and I said "oh" and walked on. Apparently he didn't hear that I said "Bernard" instead of "Benoit".

[–] [email protected] 8 points 6 months ago (2 children)

Can someone explain pls

[–] [email protected] 38 points 6 months ago* (last edited 6 months ago) (1 children)

This shape is a fractal made from the Mandelbrot set. I guess the joke is that the more you zoom in the edges the more detail there is, so doing them would be an impossibly infinite task. https://mander.xyz/post/8966692[More info on the Mandelbrot set here.](https://mander.xyz/post/8966692)

[–] [email protected] 12 points 6 months ago

This shows the phenomenon pretty well. I like to watch this once in a while to remind myself that I know nothing about anything.

[–] [email protected] 11 points 6 months ago (1 children)

From the mandelbrot boundary wiki: "Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications"

https://en.m.wikipedia.org/wiki/Mandelbrot_set

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

Thankyou. Even as a concept I find it creepy

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

https://mandelbrot.site/ Nature is beautiful. :)

[–] [email protected] 8 points 6 months ago (1 children)

Pathological monsters!

[–] [email protected] 3 points 6 months ago

A splinter in my eye

[–] [email protected] 24 points 6 months ago

The devil is in the details.

[–] [email protected] 37 points 6 months ago

this is a draft, the cartoonist is still working on the third panel

[–] [email protected] 59 points 6 months ago (2 children)

Resolution limits

[–] [email protected] 10 points 6 months ago

It would still take a while to edge individual blades of grass

[–] [email protected] 54 points 6 months ago

Nonsense. Good gardeners trim to the subatomic level