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 3 weeks ago by [email protected] to c/[email protected]
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[–] [email protected] 26 points 3 weeks ago (2 children)

I love that but it's missing 2 leaves

[–] [email protected] 34 points 3 weeks ago* (last edited 3 weeks ago)

I got two more leaves for you πŸ₯¦

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

[–] [email protected] 19 points 3 weeks 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 3 weeks 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 3 weeks ago (1 children)

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

[–] [email protected] 7 points 3 weeks ago

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

[–] [email protected] 6 points 3 weeks 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?

[–] [email protected] 6 points 3 weeks ago* (last edited 3 weeks 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 3 weeks ago

Thanks. πŸ™‚

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

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

[–] [email protected] 4 points 3 weeks ago* (last edited 3 weeks ago)

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

[–] [email protected] 4 points 3 weeks ago* (last edited 3 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] 1 points 3 weeks ago

Short answer yes

But it actually depends on what you mean by draw