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The Nine Point Centre
How many centres do you think a triangle has? There are more than you might think. Maybe you learned about a few at school – the centroid, incentre and circumcentre are the classic ones that most people learn. But there are a few (actually, more than a few) more than that.
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How Many Moves can a Knight Make?
Imagine you’re a knight moving around on a chessboard, and you’re not allowed to visit any square that you’ve already been to. How quickly are you likely to get stuck?
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Mathober 2023 Prompt 5: Supergraph
A series of blog posts of 100ish words for Mathober.
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Mathober 2023 Prompt 4: Section
A series of blog posts of 100ish words for Mathober.
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Mathober 2023 Prompt 3: Internal
A series of blog posts of 100ish words for Mathober.
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Mathober 2023 Prompt 2: Symmedial
A series of blog posts of 100ish words for Mathober.
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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 100-or-so 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.
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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!)
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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.
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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.
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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.
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Carnival of Mathematics 213
A roundup of online maths content from November 2020.
Sam Hartburn
sam@samhartburn.co.uk
Hello! I’m Sam Hartburn, a freelance maths author, editor and animator. I also dabble in music and write mathematical songs. Get in touch by emailing sam@samhartburn.co.uk or using any of the social media buttons above.
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