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Now that’s what I call an aperiodic monotile!

Three versions of The Spectre tile: first with straight edges, then two variations with smooth curve edges.

Surely you didn’t expect news about aperiodic tilings to appear at regular intervals? You know how it is – you wait ages for a new aperiodic monotile discovery to come along, then two come in quick succession.

In March, we covered the discovery of an aperiodic monotile. The team of authors behind that discovery have been continuing their work and this week have an even bigger announcement.

An aperiodic monotile exists!

A tiling of the plane by lots of copies of the same shape.

Actual aperiodicity news on The Aperiodical!

This is probably the biggest aperiodicity news we’ll ever cover here: David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss have produced a single shape which tiles the plane, and can’t be arranged to have translational symmetry.

And it’s so simple!

Podcasts for a university mathematics student

Yesterday, I was asked by Mariana Farinha for podcasts I would recommend to a college student of Mathematics. I assume this is college in the American sense, i.e. university. Though targetting an audience is usually a broad business, so with a suitable margin of error I replied with a few, retweeted the request and a few others replied. Here are the suggestions. What would you recommend? Leave a comment!