this post was submitted on 28 Oct 2024
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Science Memes

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[–] TetraVega@lemmings.world 27 points 5 months ago (2 children)

I love that but it's missing 2 leaves

[–] 7eter@feddit.org 36 points 5 months ago* (last edited 5 months ago)

I got two more leaves for you πŸ₯¦

$$\left(1+\sin(\theta)\right) \left(1+\frac{9}{10}\sin(9\theta)\right) \left(1+\frac{1}{10}\sin(-27\theta)\right) \left(\frac{9}{10}+\frac{1}{10}\cos(200\theta)\right)$$

[–] ContrarianTrail@lemm.ee 21 points 5 months ago (1 children)

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 5 points 5 months 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.

[–] NoneOfUrBusiness@fedia.io 17 points 5 months ago (1 children)

I like how you have all those random-ass coefficients and then there's just 1+sinΞΈ chilling there.

[–] 7eter@feddit.org 8 points 5 months ago

It's basically the length of the leaves. Wonderful how this can be described so simply!

[–] Vilian@lemmy.ca 7 points 5 months ago* (last edited 5 months ago) (3 children)

It's possible to draw anything with a math function?

[–] fossilesque@mander.xyz 5 points 5 months ago* (last edited 5 months ago)

You could draw a representation of anything with a math function, yes. Have fun calculating anything complex though.

[–] Sphks@lemmy.dbzer0.com 4 points 5 months ago* (last edited 5 months ago) (1 children)

With polar coordinates and Fourier transforms, you can draw the 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 3 points 5 months ago
[–] Ephera@lemmy.ml 6 points 5 months ago (1 children)

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

[–] Sphks@lemmy.dbzer0.com 7 points 5 months ago* (last edited 5 months ago) (1 children)

Yes. https://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 2 points 5 months ago

Thanks. πŸ™‚