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Mathematical Objects: Aperiodic monotile with Chaim Goodman-Strauss

By Katie Steckles and Peter Rowlett. Posted June 2, 2023

A conversation about mathematics inspired by the new aperiodic monotile. Presented by Katie Steckles and Peter Rowlett, with special guest Chaim Goodman-Strauss.

The paper announcing the discovery is An aperiodic monotile by David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss.

Chaim was recording from MoMath in New York, which will be running a creative artwork competition based on the monotile with UKMT. Chaim also mentioned a meeting in Oxford: Hatfest: celebrating the discovery of an Aperiodic Monotile.

Note: This podcast was recorded after the discovery of the ‘hat’ and ‘turtle’ monotiles but before the announcement of the ‘spectre’ monotile. Confused? Don’t worry, we explain in the episode!

Eight copies of the 'hat' aperiodic monotile.

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Now that’s what I call an aperiodic monotile!

By Katie Steckles. Posted May 30, 2023

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!

By Christian Lawson-Perfect, Katie Steckles and Peter Rowlett. Posted March 22, 2023

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!

A glider on an aperiodic cellular automaton exists!

By Christian Lawson-Perfect. Posted August 6, 2012

Good news, everyone! I literally jumped out of my seat and punched the air when I saw this story. It’s as if this site was set up specifically to report on this exact piece of news.