Latest Blog Posts

On The Topic of 0.999... = 1

So, the topic-du-jour in the maths reddit communities is one that comes up from time to time. It's this: In fairness, if you've not seen this before, the result might seem counter-intuitive. After all,...

There Is Only One Logarithm

When you start learning about algorithms, you very quickly learn about algorithm complexity, which describes how the execution time grows with increasingly large inputs. For instance, you might learn that...

Pruning the Sudoku Tree

Sudokus: everybody knows them, many have love-hate relationships with them, and one can find them literally everywhere, from newspapers to kiosks. Sudokus are great way to idle away time, and exercise...

Impossible! An Introduction to Invariants

Over the course of many years, I have been exposed to a variety of mathematical techniques that I've used to solve many a maths problem. And, of them all, there is one technique that I love the most: the...

My First Blog Post!

Hello! For whatever reason, you have chosen to visit this site. For that, I am very grateful. In any case, I'm Lucas Bachmann. I'm Swiss born, and twenty-something of age. I've lived in many places,...