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The Final Maths Society Post

Hi all, For any of you that are interested in some notes that are accessible to people with a good grasp of A level maths. These notes contain a wide range of mathematical topics that are deeply interesting and typically aren’t covered in school, but highlight the beauty of mathematics without having to go too…

Maths Society Update:

Since I last posted here, much has happened at maths society: we had a great talk on the zeta function by Wren, we had a saga about Fibonacci numbers and the golden ratio (and similar business with the silver ratio and Pell numbers and then generalising that further) and then had a talk on the…

Maths society 3: Newton’s Fractal

This week at maths society, we discussed Newton’s fractal, and a very surprising connection to the Mandelbrot set that it has too. Please enjoy both these notes and the notes from the entire half term, where the theme (accidentally almost) became dynamical systems.

Pizza Problem Posed to me by an Egyptian guy

(Shoutout to camelman for the problem) The problem: Given a pizza, what is the most amount of slices one can obtain by cutting it with straight lines n times? Some experimentation: The way to generate the most slices: The trick for getting as many slices as possible every time is to draw a line…

21 Dares

Throughout the last year, a certain game has popped up in my mind multiple times, haunting me- generalising 21 dares. I am pleased to report that the problem is solved. Introduction Recall the famous game known as “21 dares”, wherein 2 people may add an integer between 1 and 3 (starting from 0) and whoever…

A Couple of Other Connections Between Number Theory and Topology

Following the video I made (link and notes above) about how RH can be restated via topology, I decided to follow it up with a little addendum- two other connections (not as deep) between number theory and topology. Infinitude of primes Firstly, one can show the infinitude of primes using topology. More precisely, we will…

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