# The Beauty of Math

This Post is an attempt to collect beautiful mathematical art including but not limited to plots, complex plots, contour plots, fractals, surfaces and tilings.

In the comments, post your favorites. A description of what you post would be much appreciated.

By the way, read this post for the code of the attached heart and a few other plots.

By the way, my avatar is also one of my favorites.

5 years, 4 months ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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The heart curve can simply be written in polar coordinate See here

Plot this parametric equation in $t$ as $0

$y_{1}=2+2\sin \ t$ $x_{1}=2+2\cos \ t$

$y_{2}=3+0.1\sin \ t$ $x_{2}=1+0.1\cos \ t$

$y_{3}=3+0.1 \sin \ t$ $x_{3}=3+0.1 \cos \ t$

$y_{4}=2-\sin \ 0.5t$ $x_{4}=2+ \cos \ 0.5t$

It will bring a smile:)))

- 5 years, 4 months ago

Thanks cool!

- 5 years, 4 months ago

ss

sss

- 5 years ago

Wolfram Blog has an article on converting any image to a formula.

https://fbcdn-sphotos-a-a.akamaihd.net/hphotos-ak-xaf1/v/t1.0-9/s526x395/106651045876852413364147639235888110981929n.jpg?oh=52bc7675305c2fe4a3e1090f3f04476e&oe=54C41262&gda=14213948218b7d65673af22a9fef39d6d88367d0b7

Staff - 5 years ago

Oh, let me offer this one that I made up: Knot Or Not?. Complicated parametric equations plot this one out, but the fun problem is, "If you tried to untangle this, will it just end up in a knot, or can it be untangled into a simple loop?"

- 5 years, 4 months ago

It can be untangled into the trivial knot, ie, the loop. Yes?

Staff - 5 years, 4 months ago

Like how the CIA tweeted today, I can neither confirm nor deny this!

- 5 years, 4 months ago

I'll have to get some long pieces of strings and try to make this knot and see for myself.

Staff - 5 years, 4 months ago

Enter this into google: sqrt(cos(x))cos(300x)+sqrt(abs(x))-0.7)(4-x*x)^0.01 sqrt(6-x^2) from-4.5 to 4.5

- 5 years, 4 months ago