# Mathspp Blog

### A blog dedicated to mathematics and programming!

This blog has a really interesting assortment of articles on mathematics and programming. You can use the tags to your right to find topics that interest you, or you may want to have a look at

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301
##### HueHue: a colourful game

HueHue is a very colourful game I wrote with my colleague @inesfmarques.

464
##### Problem #004 - solvability of the water buckets

In this post I talked about the riddle of the water buckets. Now I challenge you to prove that in some situations it is impossible to solve it!

333
##### Water buckets riddle

Can you measure exactly $$2$$L of water with two plain buckets with volumes of $$14$$L and $$5$$L? Of course you can!

361
##### Finding all strings a regular expression can find

A regular expression, without much rigor, is a very compact way of representing several different strings. Given a regular expression (regex), can I find out all the strings the regex can find?

486

Let's prove that there are two irrational numbers, call them $$a$$ and $$b$$, such that $$a^b$$ is a rational number! And let's do it in a tweet.

550
##### Problem #003 - a quarrel in the Shire

Gandalf has some Hobbits to appease but his task seems to go on forever. Can you give him a hand..?

486
##### Problem #002 - a bag full of numbers

Two friends were bored and decided to play a game... a mathematical game with a paper bag!

701
##### Problem #001 - a dancing triangle

This post's format will be a bit different from the usual and the first of a series of posts of this type. In this post, I will state a problem and then present my solution.

252
##### Solving diophantine equations with random walks

Here's how I like to solve my equations: just walk around randomly until I trip over a solution!

283
##### Random walk simulations in 2D

Think of a drunk man that continuously tumbles left and right, back and forth, with no final destination.

394

Progress is great and new things are always exciting... but that doesn't mean old things don't have any value!

625
##### Fractals and the filled Julia set

The filled Julia set is a really cool fractal that kind of resembles the Mandelbrot set!

603
##### On recursive functions and Kleene's approach

In this post I just ramble a bit through some mathematician's definition of what a recursive function is...

647
##### Creating a programming language from scratch

This blog post tells the short story of how I wrote a simple interpreter for a toy programming language!

969
##### Fractals and the Mandelbrot set

I have always liked the concept of fractal. They are very beautiful, they have a notion of infinity embedded in them, and they make no sense (seriously though, self-similarity?). How could they not be loved?

342
##### Pigeon Pooping Simulator

This blog post has a single purpose, which is to show you the weird game I made, inspired by Flappy Bird and my crazy English teacher.

473
##### Minesweeper remake

Minesweeper has to be one of the most well-known minigames of all time, no? I spent my fair share of Sunday mornings playing minesweeper in my Windows XP computer...

626