this post was submitted on 28 Oct 2024

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Science Memes

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446

Carl Sagan be like (mander.xyz)

submitted 1 month ago by [email protected] to c/[email protected]

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[–] [email protected] 26 points 1 month ago (2 children)

I love that but it's missing 2 leaves

[–] [email protected] 34 points 1 month ago* (last edited 1 month ago)

I got two more leaves for you 🥦

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

[–] [email protected] 19 points 1 month 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 5 points 1 month 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.

[–] [email protected] 16 points 1 month ago (1 children)

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

[–] [email protected] 7 points 1 month ago

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

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

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?

[–] [email protected] 6 points 1 month ago* (last edited 1 month 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.

[–] [email protected] 2 points 1 month ago

Thanks. 🙂

[–] [email protected] 6 points 1 month ago* (last edited 1 month ago) (3 children)

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

[–] [email protected] 4 points 1 month ago* (last edited 1 month ago)

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

[–] [email protected] 4 points 4 weeks ago* (last edited 4 weeks 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.

[–] [email protected] 3 points 4 weeks ago

.... I think you can go back... but maybe I didn't get your explanation

[–] [email protected] 1 points 4 weeks ago

Short answer yes

But it actually depends on what you mean by draw