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MathGifs (mathgifs.blogspot.co.uk)
269 points by co_pl_te on Oct 15, 2013 | hide | past | web | favorite | 31 comments

Ah Mathematica:

    $ curl -s http://4.bp.blogspot.com/-MPv_CwvvwKQ/Ulrw3TfdgyI/AAAAAAAAAEw/YsRPmU6C5xM/s1600/trefoil_rotate_white.gif |strings|grep -i created
    UCreated by Wolfram Mathematica 9.0 for Students - Personal Use Only : www.wolfram.com

Would love to see the source for them.

Upvote for teaching me the "strings" command :) Never heard of that one before! Seems really useful.

If you're wanting metadata, consider exiftool also:

    $ curl -s http://4.bp.blogspot.com/-MPv_CwvvwKQ/Ulrw3TfdgyI/AAAAAAAAAEw/YsRPmU6C5xM/s1600/trefoil_rotate_white.gif | exiftool -
Output contains:

    Comment : Created by Wolfram Mathematica 9.0 for Students - Personal Use Only : www.wolfram.com

When I opened the first page I thought that it would be a page of unrelated GIFs. I saw the first one, read the accompanying paragraph, and stopped to think about it. I thought for a while before proceeding on, at which point I noticed that I had just thought through the next several GIFs of explanation.

That's why math is fun. You can always participate in the analysis.

That simple parabolic reflection animation explained the concept more elegantly than words ever could, I think.

Cool. Anything else like it?

My friend and I write a physics/art/geometry/math blog with gifs for illustrations: http://danielwalsh.tumblr.com/ - denser posts, but hopefully fun. (Here's also a list of posts, since they're so long that the blog can be hard to browse: http://danielwalsh.tumblr.com/tableofcontents )

I also recommend http://blog.matthen.com/ (tons of math gifs with source code) and http://visualizingmath.tumblr.com/ (lots of gifs and other images along these lines).

I liked the slinky one so much I submitted it.

Nice, thanks!

Your blog is now on my (short) reading list.

If you want books you can try these old books:

Dynamical Systems and Fractals (http://www.amazon.co.uk/Dynamical-Systems-Fractals-Computer-...)

Mathographics (http://www.amazon.co.uk/Mathographics-Robert-Dixon/dp/048626...)

Computers Pattern Chaos & Beauty (http://www.amazon.co.uk/Computers-Pattern-Beauty-Clifford-Pi...)

Fractals Images of Chaos (http://www.amazon.co.uk/Fractals-Images-Chaos-Penguin-Scienc...)

I suggest these because they all contain some kind of code.


What isn't there a /r/ for on Reddit? Seems like they cover everything.

Sometimes tumblr has interesting gifs: http://www.tumblr.com/tagged/math-gif

My personal favourite mathematical animation is the construction of Bezier curves: http://en.wikipedia.org/wiki/Bezier_curve#Constructing_B.C3....

This was exactly how I made sprite animations back in my Amiga demo coding days. Take a look at early C64/Amiga demos and you'll recognize these patters.

These are really neat, but one thing I don't understand is the animation they linked to (i.e. the post that inspired the OP) [1]. Unlike the animations in mathgifs, my brain isn't interpreting anything there as rotational motion. Am I missing something?

[1] http://beautyandthemaths.tumblr.com/post/62281036101/the-ave...

That was the same with me. I guess it is because the dots are already colored, thus leading one's focus towards the translation. However if you ignore the colors and imagine a 3-petal flower, then you can see the flowers rotate counter-clockwise. Try following the outer edges where the density of dots is sparse and less confusing to form a mental image of the petal.

The dots are further spaced apart so so your eyes are drawn towards individual balls rather than the image as a whole. Plus as the balls are already coloured and you have ball tails, it's easier to see the ball paths.

Also, worth mentioning is the balls on this follow a subtly different path as they don't intersect the centre of the shape like they do in the article's gif.

Zoom out

Tried that-- didn't seem to help.

Excellent! I'll have to spend a while exploring the archives. I just happened to have "proved" to myself the linearity of a very similar animation a few weeks ago. :)


Anyone know a good place to plot the mathematical envolope at the bottom of the page? But like, quite big?

I know it might seem a little facile but a nice plot like that would look pretty cool on my website. :)

Interesting, but I still have a headache since I looked at the gifs about an hour ago. Maybe it's just me but I would advice putting a warning somewhere.

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