What is this?

It's a like-like.
It eats your shield if it catches you.

l-lewd

surface normals?

I am a sad old man. I have been browsing r9k since its modern "loser" incarnation, at least since early 2011.

This is the single most elegant and abstract representation of pepe and wojak that I have ever seen.

So what properties do these curves have? How are they modeled?

It's actually quite simple

who are you
WHO ARE YOU

Sorry guys, I have to leave. Here's a last one, hope it answers your questions

>topologists masturbating in this thread

YOUR THIRD DIMENSION ISN'T REAL ANYWAY

This is the best I can do at the moment. I don't know how to do though.

some kind of surface normal

the "equidistant" gives it away
you've got a curve on a surface, and the curve "above" the surface is the curve you get when you translate each point on the curve by the surface normal at that point, by a constant

honestly, i have no idea what purpose this could have

what's going on here, the angles look more out of whack than if they were surface normals

yeah i was wondering if there are any practical applications

:>==8

Not OP, but let me start my own little "guess the maths behind this animation" puzzle. Let's start with a nice one.

Here's a related variant of the previous one.

And here's one worth meditating about.

What are these made with?

Well it seems all points are moving at the same constant velocity in a straight line, and the shape becomes mirrored. But I have no idea what mathematical process would cause such a thing.

they look like collections of complex zeros

This one looks like the Riemann-Zeta function

Topological pepe

It would be a great way to simulate car mechanics over a bumpy road in a game for an example

You can make all of them in Mathematica

A very rare pepe.

looks like a rotation of the projective plane

My god

...

There's nothing topologically interesting here

Is it anything to do with this? Where k = 1 / 7 or around there?

Forgot picture.

Taylor series for 'e'?

No, you idiot. Partial sums in the Taylor series for e^x

Here's something similar.
alpha.editor.p5js.org/wernstrom/sketches/r173IGWKx

yeah obviously, forgot ^x

So why'd you bother asking?

As in I meant to say '^x', wouldn't made any sense if it was just one constant without anything variable.

How is the movement of the loop defined?
Is it just random?

Not really part of this thread, but if you like the animations already posted you might like this one.

ouch that sucks :(

imagine being attached to a star that gets flung at high velocity into the darkest depths of space

The normals of a circle projected on a surface.

What is the circle normal to? The flat surface under the warped surface?

that Image is in dozens of millions of years per Frame ... so "high velocity"

it would be cool to be beings that can experience time that fast though right?

It's in the filename, if you couldn't work it out from the first one its time to stop posting