(Header image generated from here). ECDSA: Elliptic Curve Signatures This is the second post on this topic – following on from the first post here. Read that first for more of the maths behind this! In this post I’ll look at this from a computational angle – and make a simple Python code to create […]

The mathematics behind blockchain, bitcoin and NFTs. If you’ve ever wondered about the maths underpinning cryptocurrencies and NFTs, then here I’m going to try and work through the basic idea behind the Elliptic Curve Digital Signature Algorithm (ECDSA). Once you understand this idea you can (in theory!) create your own digital currency or NFT – […]

Finding planes with radar PlusMaths recently did a nice post about the link between ellipses and radar (here), which inspired me to do my own mini investigation on this topic. We will work in 2D (with planes on the ground) for ease of calculations! A transmitter will send out signals – and if any of […]

Proving Pythagoras Like Einstein? There are many ways to prove Pythagoras’ theorem – Einstein reputedly used the sketch above to prove this using similar triangles. To keep in the spirit of discovery I also just took this diagram as a starting point and tried to prove this myself, (though Einstein’s version turns out to be […]

I’ve just made a big update to both the teacher and student resources sections: Student resources These now have some great free resources for students to help them with the IB maths course – including full course notes, formula books, Paper 3s, an Exploration guides and a great mind-map. Make sure to check these all […]

Finding the average distance in a polygon Over the previous couple of posts I’ve looked at the average distance in squares, rectangles and equilateral triangles. The logical extension to this is to consider a regular polygon with sides 1. Above is pictured a regular pentagon with sides 1 enclosed in a 2 by 2 square. […]