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Showing posts from December, 2023

Computing $\pi(n)$

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Wee Kean here. Happy New Years Eve! Lately, my only interaction with math has been through doing Project Euler. So... here's some cool things I've learnt! Unfortunately, there is hardly any structure to this blogpost so I apologize if this comes off as verbal diarrhea.

Dynamic Programming in Math Problems

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(Yu Peng here) For this post, I'll go through a common idea in competitive programming - dynamic programming - and some of my thought processes when I apply it to problems.

'Invisible' Logic In Combinatorics

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(This is Lucas.) Hi! In this post, I'm going to try and highlight a small but important part of my thought process when attempting Olympiad problems. 

Spacetime, Special Relativity, and a Lot of Circles

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(It's Glen again!) This post is going to be long, and as the title suggests, contain very many circles. Relatedly, most of the diagrams in here are hand-drawn and scanned because no way am I going to figure out how draw all of these diagrams on computer. You have been warned.

Thrilling Tilings at Tiring Timings

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(Etienne here.) The date was 24 October 2021. It was late at night, and I was just about to tuck myself in. After all, the next day was the A-Level Physics practical! I needed to be well-rested (spoiler alert - I actually didn't). I was lying comfortably and about to bid a temporary farewell to the waking world, when suddenly, out of nowhere, I was attacked by a sudden thought: For what $r$ could I tile a square with rectangles whose sides had ratio $r$?