I finished most of this post some time ago but since I haven’t payed so much attention to this site I forgot to post it, sorry about that…
Around the end of the academic year we finished a course called Creative Explorations of Structures, which can can be seen as an introduction to the more complex areas of mathematics with limited use of formulas.This approach is unexpected from a math course and is really interesting. Solving the problems that we were presented with has been a fun (but sometimes hard) challenge. The course focuses on a creative and even art-like approach to mathematics, like seeing math in nature and art. You can see the course page here to get an idea of the things we had to do.
There’s two things I want to show here, the first is the Pythagoras tree I made:

Note that I used a background image of which I can’t recall the source anymore, but the tree fitted nicely into it. I deliberately used angles for the branches that were a bit “off”, which gave this weird result
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One of the most interesting things was messing around with fractals to create images, the fun part in this being that most of the images originate from pure luck rather that skill, here are some of the images that I came up with:

This one looks landscape like, somewhat resembling waves and thus reminding of water, but if I would have made it yellowish it would have looked like a desert.

This one looks like a lot of stars.

And this one is like a seashell. The fun thing about this one is that by increasing the “iteration” parameter, it will look more organic every time, up to a point where it gets unrealistic as a seashell. This makes me think that in nature, use of mathematics for organisms is finite, because they may otherwise become too complex.
If you want to try this yourself, download ChaosPro and mess around a bit with the parameters.
For the final assignment I chose to investigate math in encryption, which was a tough subject but it was something I wanted to read up on for a long time, so this was a good opportunity to do so. Encryption soon led me to obfuscation of data, which inspired me to create little puzzle for the end of my final presentation for the course, you can find it here (and yes, the password is deliberate).
Now to write something about the “Have fun and play” and “Interactive visualization” courses, I’ll try not to take so long this time
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