Post cool math gifs

Math is never cool

>>8574847
Math is hard amirite guise xD

>>8574847
Cuz its hot

>>8574847
I WAS NEVER COOL

in school

...

i bet you don't remember

...

me

>>8574847
K bro, say that when I'm out there fucking your sapiosexual gf, m8.

>>8574322
the fuck is this supposed to b

>>8575147
I think it every iteration joins the midpoints of each adjacent segment

>>8575159
and ? it just smooths the line? is that whats """cool"""?

>>8575165
why are you even on this board

>>8575178
because it's a science board? duh

File: Weierstrass.gif (237KB, 572x447px) Image search: [Google]

237KB, 572x447px

>>8574322

>>8575165
it looks cool desu. Im not even op btw

File: hilbert.webm (3MB, 360x375px) Image search: [Google]

3MB, 360x375px

>>8575165
Looks cooler when you do it on fractals desu.

One anon discovered that they converge to smooth lower-order versions of themselves. Makes you wonder if there's an analytic expression for the process.

>>8575321
>>8575232
still baby tier.
jeez maths is so booring. can we get some cool machine parts gifs in here?

File: hilber_4000.png (8KB, 360x274px) Image search: [Google]

8KB, 360x274px

>>8575321
Actually I guess converge is the wrong word here as running the process longer smooths things out ever more dramatically. Pic is 4000.

I guess the real question is, would it converge to a straight line between the endpoints if the process continued on indefinitely?

>>8574847
Homosexual detected.

File: Hilbert.png (40KB, 683x682px) Image search: [Google]

40KB, 683x682px

>>8575321

ayy that was me. Pic related is the first time it was ever done. What I later found out was that the process still works when you consider each segment to be a vector, and then take two neighbors in a matrix and divide their sub by half. If you take all the resultant vectors and imagine them stemming from a single point then they can be used to form a parametric equation that describes the tendency of motion of the polygon formed after n iterations. The parametric begins as a tangled mess, but quickly unfolds it'self into a shape which smoothly juts outward from the center point, loops around, and returns.