Can You Sing Two Notes at Once?

Misc,

And what does that have to do with maths?

A little while ago, Abs Pascoe (who I highly recommend if you’re thinking of starting singing lessons and you happen to live near Whitstable) posted this amazing video where she sings two different notes at once. I had never heard anything like it before! My first thought was that it was some kind of dark magic. My second thought was that there must be some interesting maths going on there.

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Pythagorean spiral with each triangle filled with pursuit curves

Pythagorean Spiral meets Pursuit Curves: Sunday Maths Animations Week 8

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Earlier this week I was proofreading a book that mentioned Pythagorean spirals. I had seen them before but never thought about them too deeply, so I gave them a try in GeoGebra. I filled them in with curves of pursuit, just for fun!

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Infinitely Zooming Circles: Sunday Maths Animations Week 3

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Week 3 of my Sunday Maths Animations grew from a puzzle at February’s MathsJam that involved calculating the shaded area in a shape involving infinitely recursing circles. Can you tell which circles are changing in size and which are staying the same?

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Circles on a Harmonograph Curve: Sunday Maths Animations Week 2

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For week 2 of my Sunday animations I’ve stuck with circles, this time on a harmonograph curve (which is a relation of the Lissajous curves).

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