It’s possible to draw everything with a math function?

# Carl Sagan be like

Submitted 1 week ago by fossilesque@mander.xyz to science_memes@mander.xyz

https://mander.xyz/pictrs/image/1c2f6dae-8c99-426b-aece-e623e4428289.jpeg

## Comments

## Vilian@lemmy.ca 1 week ago

## Sphks@lemmy.dbzer0.com 6 days ago

With polar coordinates and Fourier transforms, you can draw outlines of tons of figures. But you can’t go back. Imagine that you can go with your pen around the center in only one direction, but any distance from the center.

## Zementid@feddit.nl 6 days ago

… I think you can go back… but maybe I didn’t get your explanation

## fossilesque@mander.xyz 6 days ago

You could draw a representation of anything with a math function, yes.

## Fleur_@lemm.ee 6 days ago

Short answer yes

But it actually depends on what you mean by draw

## Ephera@lemmy.ml 1 week ago

A web search tells me the θ (lower-case theta) is used to represent an angle. Do you just fill in 0° – 359.9° one after another to draw that curve?

## Sphks@lemmy.dbzer0.com 1 week ago

Yes. en.m.wikipedia.org/wiki/Polar_coordinate_system

Since this curve is cyclical, you can do it [-infinity ; +infinity] and it’s the same curve again and again.

## Ephera@lemmy.ml 1 week ago

Thanks. 🙂

## TetraVega@lemmings.world 1 week ago

I love that but it’s missing 2 leaves

## 7eter@feddit.org 1 week ago

try: $ (1+sin(θ)) (1+((9)/(10)) sin(9θ)) (1+((1)/(10)) sin(-11θ)) ((9)/(10)+(1)/(10) cos(200 θ)) $

## ContrarianTrail@lemm.ee 1 week ago

The number of leaves depends on the age of the plant. There are ones with one and three leaves as well. However I’ve never seen a leaf with a bud in the middle like on the left.

## zaphodb2002@sh.itjust.works 1 week ago

It’s a mutation, happens rarely. I’ve had a couple of plants do it in the 5 or so years I’ve been growing.