Author: Sam Hartburn

Mathober 2023 Prompt 5: Supergraph
A series of blog posts of 100ish words for Mathober.

Mathober 2023 Prompt 4: Section
A series of blog posts of 100ish words for Mathober.

Mathober 2023 Prompt 3: Internal
A series of blog posts of 100ish words for Mathober.

Mathober 2023 Prompt 2: Symmedial
A series of blog posts of 100ish words for Mathober.

Mathober 2023 Prompt 1: Kiss
I’ve decided to join in with Mathober: a month of prompts for mathematical creativity. I’m planning to do 100orso word blog posts. I know I won’t post daily (and I’m already behind) so it might take me into November, December or even beyond. I’m fine with that! Prompt 1 is Kiss.

Can You Turn This Pattern into a Knight’s Tour?
Did you notice that, in the video for More Than Nine Million Billion Ways, the order in which the attempts at random knights tours appear makes a knight’s tour itself? This video explains where it comes from. (Spoiler: it isn’t randomly generated!)

Is a Shape With 1000 Sides the Same as a Circle?
I recently found out about a shape I’d never heard of before: a chiliagon.

More Than Nine Million Billion Ways
If you make random knight’s moves around a chessboard, how likely is it that you’ll find a path that visits every square without visiting any of them more than once? This video discusses some of the maths around that idea, including a song about one knight’s attempt to do it.

Maths Tourism: A Spiral on Brighton Seafront
A few weeks ago I visited Brighton seafront. While there, I spotted several lovely mathematical sights, including this spiral.

Carnival of Mathematics 213
A roundup of online maths content from November 2020.

Using LaTeX Leadsheets for MathsJamJam
MathsJamJam is an event that takes place at the annual MathsJam gathering, where we sing songs that have had their lyrics rewritten to be about maths. This year I used the LaTeX package Leadsheets to compile the songbooks. I’ve documented how it works here – mainly so that I can remember how to do it,…

The Ant’s Lament
A song to highlight the totally unfair situations faced by ants in puzzles like the ant on the rubber band. Music and lyrics by me, pictures by Ayliean MacDonald.