A groundbreaking new discovery in mathematics!

The Hat, an aperiodic monotile

Presenting “the Hat,” a newly discovered (and first-ever!) shape that can tile the plane endlessly but only without ever quite repeating the pattern. 

Hear the story behind the discovery

A Hat for Einstein
(Recorded event from Sunday, March 25)

Join Craig S. Kaplan and Chaim Goodman-Strauss who, along with their co-authors David Smith and Joseph Samuel Myers, wrote the groundbreaking paper about the Hat.  They will discuss how they discovered this aperiodic monotile and how it impacts modern mathematics.  Watch the video.

Meet the Authors
(Recorded event from Wednesday, March 29)

Join all four authors of the groundbreaking paper, David Smith, Joseph Samuel Myers, Craig Kaplan, and Chaim Goodman-Strauss, as they discuss their exciting mathematical discovery of the Hat, the first-ever shape that can tile the plane endlessly but only without ever quite repeating the pattern.  Have your questions answered — or just enjoy the lively discussion — at this interactive Q&A session!  Watch the video.

Read about the Hat in The New York Times

The New York Times has applauded this advancement in the world of mathematics, noting in a recent article that an Elusive ‘Einstein’ Solves a Longstanding Math Problem.

The Hat makes an appearance on Jimmy Kimmel Live

Attesting to the excitement and widespread popularity of the Hat’s discovery, Jimmy Kimmel announces that researchers have discovered a new 13-sided shape called the “Hat” and it is considered to be the “holy grail of tiles.”  Watch the Jimmy Kimmel Live video.

MoMath and UKMT to announce a creative artwork competition

Inspired by this illuminating research found at the intersection of math and art?  In honor of the discovery of the “einstein tile,” the National Museum of Mathematics (MoMath) and the UK Mathematics Trust (UKMT) are jointly organizing a global competition for creative artwork or design. Be one of the first to learn more about the contest.

Read the groundbreaking paper

An Aperiodic Monotile
By David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss
Read the groundbreaking paper about this new discovery in mathematics and explore other resources associated with this work.