Matt's Wandering in Theoryverse

The description of the problem can be found on the Advent of Code website. I usually post my solutions on the subreddit but this time it'll use so much math notation I think it'll be more readable here since equations can be rendered with MathJax. Part 1 doesn't require…

When you draw a sinusoid in polar coordinates, the results can be beautiful. Depending on the parameters of the sinusoid, we can obtain many different curves. The ones I want to focus on in this post are the rose curves which, as you could've guessed it, resemble a…

I find it enlightening to figure out by myself the proofs of formulas taught in school. It's not only a nice review of the material learned in school but also an oppurtunity for a more rigourous approach I learned at University, filling holes in knowledge and…

You find yourself in a closed room with 6 strangers. A guard comes in and says that some time later you are all going to be moved into separate cells and you won't be able to communicate with one another. Then each of you will be assigned…

TL;DR: ready to use scripts are at the end of the post. Sometimes when watching a movie or an episode of a series there comes a scene which makes a great impression on you, so great that you decide to share it with your friends. Sharing…