Butterfly Curve

This short animation shows the creation of a curve that is a slight modification of the Butterfly curve given by Temple H. Fay in the May 1989 issue of The American Mathematical Monthly:
www.jstor.org/...
Can you make single parametric equations map out other cool shapes?
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To learn more about this curve, see
en.wikipedia.o...)
#parametricequations #butterfly #transcendental #planecurve​ #plane​ #trigonometry​ #manim​ #animation​​​ #iteachmath #mathematics #calculus
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[@Phymacss]

And they say math is boring!❤

[@agrajyadav2951]

Honestly, I've never heard anyone say that IRL, many students say it's too hard but boring is not a word I've heard being used to describe mathematics. You have to be an absolute idiot to day that.

[@agrajyadav2951]

I mean not you but whoever says it's boring

[@Sayada]

Math is not boring, people who teach it make it boring

[@Phymacss]

@@Sayada yes!!

[@ZebecZT]

i used to say math is boring, but that’s because it couldn’t visualise or imagine maths. its the way i was thought, basically as a number crunching tool, now i see math as a thinking tool. every student should be taught in a visual way, but i do understand that this would take longer time and more resources.

[@drawforge3920]

Unemployed maths graduates on a thursday afternoon:

[@canyoupoop]

Well you are a watching this so.. idk🤷

[@studystud3617]

Oh fuck todays thus i don't know how

[@linefu]

@@canyoupoop you know this is only 40 secs long right?? this doesn't take whole day to watch.

[@LauraEdgar-xv1bs]

Ah, love this one! 🦋

[@MakarskyChinese]

Math is beautiful ❤

[@bikashchakraborty8816]

Beautiful❤

[@MathVisualProofs]

Thanks!

[@alejandromarceloflores1754]

I read butterfly xd

[@aidenhastings6341]

I’m imagining this as the path of an electron around a nucleus

[@lionelinx7]

It has most likely happened considering electeons are orbiting nuclei at nearly the speed of light, although they have predefined orbitals, this kind of looks like some of the f orbitals

[@blahajikea2491]

Now find the integral of the bounded area.

[@RandyKing314]

so nice!

[@nerd-b7t]

i just watched 2 videos. AND I CANT IT IS TOO GOOD. i ill sub

[@MathVisualProofs]

Thanks!

[@Yashofficial099]

math also make a elephant in graph of constant universe cycle

[@schizoframia4874]

So 😎

[@omargaber3122]

what is program ?? how you made that

[@MathVisualProofs]

I use manim

[@omargaber3122]

@@MathVisualProofs yeaaa thank you ❤️

[@algebrawithmantu3076]

sp4 hybridised structure 👏

[@newboygram8654]

All hybridization have same structure Size is just different

[@FREE_-_PALESTINE667]

e^cost makes the wings 💸

[@Atmatan]

Considered a fractal, or? Either way, its yet more proof that all infinities have a consistent pattern.

[@erinmcdonald7781]

Happy Friday, butterfly! 💚🦋

[@andersontruong3298]

Lol old mcdonald had a farm e^i pi e^i pi 0

[@Phymacss]

Omg this is perfect

[@bobmarley9905]

how did you figure this equation out?

[@MathVisualProofs]

The article it comes from is linked in the description. The author tells where it came from.

[@bobmarley9905]

@@MathVisualProofs Awesome! Will def check it out!

[@bobmarley9905]

@@MathVisualProofs do you know if such things are taught in textbooks/books as well? If yes. then which ones? Kindly suggest & let me know.

[@Zxqw1262]

What does e^x actually mean????

[@Krishna_00123]

Mujhe bhi sikhna hai❤😢

[@andersontruong3298]

Pls antennae ok set a line 45 degrees facing up. Then add a line 135 to the left. Then copy and flip your FRACTAL. I must be a FRACTAL.

[@Priya-oj4vd]

😊😊😊😊😊😊😊😊

[@user-tl4bg3ci3g]

i'm scared of butterflys

[@Beyondfutura]

How to make this, means how to move dot automatically after graph

[@knowscope]

i think manim

[@Beyondfutura]

@@knowscope means I didn't understand

[@abhi3009shek]

Who found it?

[@MathVisualProofs]

Temple Fay. See description.