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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.

If you like the idea, please reshare this to make the art collection bigger.

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

Note by Agnishom Chattopadhyay
2 years, 11 months ago

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John Muradeli · 2 years, 7 months ago

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@John Muradeli 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/s526x395/10665104<em>587685241336414</em>7639235888110981929<em>n.jpg?oh=52bc7675305c2fe4a3e1090f3f04476e&amp;oe=54C41262&amp;<strong>gda</strong>=1421394821</em>8b7d65673af22a9fef39d6d88367d0b7

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

Agnishom Chattopadhyay · 2 years, 7 months ago

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

Plot this parametric equation in \(t\) as \(0<t<2\pi\)

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

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

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

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

It will bring a smile:))) Beakal Tiliksew · 2 years, 11 months ago

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@Beakal Tiliksew Thanks cool! Mardokay Mosazghi · 2 years, 11 months ago

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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 Nathan Blanco · 2 years, 11 months ago

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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?" Michael Mendrin · 2 years, 11 months ago

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@Michael Mendrin It can be untangled into the trivial knot, ie, the loop. Yes? Agnishom Chattopadhyay · 2 years, 11 months ago

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@Agnishom Chattopadhyay Like how the CIA tweeted today, I can neither confirm nor deny this! Michael Mendrin · 2 years, 11 months ago

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@Michael Mendrin I'll have to get some long pieces of strings and try to make this knot and see for myself. Agnishom Chattopadhyay · 2 years, 11 months ago

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