Tag: maths

3D Plot & Time Series

This post is one of a series of articles adapted from my university dissertation on data visualisation — see the rest of the series. For systems of 3 ODEs (Ordinary Differential Equations), there are two ways of plotting the results of outcomes given initial conditions. The first is to plot each of...

Limit Cycle

This post is one of a series of articles adapted from my university dissertation on data visualisation — see the rest of the series. Limit cycles are interesting systems whereby the solution to a set of differential equations produces a phase portrait whose directional flow enters a cycle and gets...

Double Pendulum

This post is one of a series of articles adapted from my university dissertation on data visualisation — see the rest of the series. The single pendulum is a simple system to model, as it is simply the force of the weight of the bob acting with respect to gravity: Simple gravity pendulum diagram,...

What Does 1,000,000 Look Like?

This post is one of a series of articles adapted from my university dissertation on data visualisation — see the rest of the series. School children are taught the order of the powers of ten the same way they are taught to count to ten, say the alphabet or recite their times tables. There is barely...

Limerick 2011

This is an extended version of an article I wrote for MSOR Connections magazine – which you can read online During the final year of my combined honours degree in Mathematics and Computing at Manchester Metropolitan University (MMU) I received an invitation to a two-day Student Mathematical...

Menger Sponge

I'm supposed to be revising for my final year exams, and the Rubik's Cube isn't enough of a distraction, apparently, so I've taken up the crafty mathsy hobby of constructing 3D fractals. The Menger Sponge is a cube with a hole in the middle, made up of smaller cubes, each with a hole in the middle....

A Fresh Start

I'm now at the end of my third week of university. I've moved away from home and now live in halls of residence in Manchester, which is a completely new experience for me. I can cook and generally fend for myself but it's still very different from being at home. I'm having a wicked time out...

Pi Day 2008

Pi – An irrational constant used to represent the ratio between a circle's circumference and its diameter, symbolised by the greek letter Pi, approximately 3.14159265358979323846264338327 (not rounded) Pi Day – A geek holiday held to celebrate the mathematical constant Pi, observed on March...