You're reading: Posts Tagged: aperiodic tiling

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!

Aperiodical News Roundup – August 2022

Not much going on in the world of maths this month (or, we’re on holiday so we haven’t been paying attention), but here’s a round-up of a few stories we saw this month.

The next Black Heroes of Mathematics Conference is scheduled for the 4th and 5th October, taking place online and featuring speakers including statistician Sophie Dabo-Niang (University of Lille), actuarial/finance lecturer Tolulope Fadina (University of Essex), Tosin Babasola (University of Bath), mathematician and former NFL player John Urschel (Harvard), Mathematically Uncensored podcast host Aris Winger (Georgia Gwinnett College), engineer Ejay Nsugbe (Nsugbe Research Labs), Nandi Leslie (Raytheon Technologies) and Franck Kalala Mutombo (University of Lubumbashi). The event is a joint initiative between The British Society for the History of Mathematicsthe International Centre for Mathematical Sciences, the Institute of Mathematics and its Applicationsthe Isaac Newton Institutethe London Mathematical Society, and the Mathematical Association.

Photo: HLFF

Later this month the 9th Heidelberg Laureate Forum will take place in Germany, bringing together laureates of the Abel Prize, Fields Medal and other prestigious maths and computer science awards. The event also invites hundreds of promising PhD students in maths and computer science to network and watch lectures by the laureates. Much of the conference will be livestreamed online, and there’ll be Twitter and blog coverage of the event (including some posts by me, and others by Chalkdust team member/friend of the site Sophie Maclean).

Aperiodic tilings exhibition

The Open University has put together a mathematical art exhibition and workshop inspired by aperiodic tilings, in honour of Uwe Grimm, and it’s now possible to view the Aperiodic tilings exhibition online, including stills of the pieces and a video walk around the exhibition.

And finally: our own Peter has noticed an interesting trend of positive coverage of maths in the media, and has collected some examples in this Twitter thread, including a Guardian piece about someone who discovered a love of maths later in life having struggled at school, a BBC Radio 4 episode of biography show ‘Great Lives’ on Dame Kathleen Ollerenshaw. Add your own examples to the thread!