Recent Mathematical Advances Distinguished Lecture Series

October 24, 2023

9:00 AM (Los Angeles), 12:00 PM (Montreal, New York), 5:00 PM (London) 6:00 PM (Madrid, Paris) 7:00 PM (Tel-Aviv)

Chaim Goodman-Strauss

National Museum of Mathematics


Video of the lecture


The discoveries of the Hat and Spectre  — single shapes that can be used to form tilings of the plane, but only can form non-periodic ones — lay to rest the longstanding question of the existence of an “aperiodic monotile” but it remains an open question: How complex can the behavior of a single shape of tile be? Can we even tell whether or not a given shape will tile the plane — is the “monotiling problem” even decidable? We’ll survey the status of several related decision and existence problems, across a range of settings, such as hyperbolic space, groups as graphs, or tilings by a single monotile.

About the speaker

Chaim Goodman-Strauss is world renowned for his work on tiling problems, including a book with JH Conway and H Burgiel,  The Symmetries of Things.  He currently serves as outreach mathematician for the National Museum of Mathematics (USA). 

Learn More About This Topic

  • Coauthor Craig S. Kaplan’s web page on An Aperiodic Monotile.  
  • Coauthor David Smith’s blog post.
  • Simon Tatham’s essay about generating random patches.
  • CP4 blog post that shows how to calculate the proportion of reflected hats.
  • Blog post by James Propp.
  • The article posted at containing these results.

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Scientific committee of the AMR-RMA

Anna Felikson

Daniel Peralta Salas

Iosif Polterovich

Leonid Polterovich

Durham University, UK

ICMAT, Madrid, Spain

Université de Montréal, Canada

Tel Aviv University, Israel