From the article:
Far from being content with having rewritten math history, Smith has already discovered a “sequel” to “The hat.” Called “
The turtle,” the new shape is also an einstein, but it’s made of 10 kites, or sections, rather than eight, and therefore bigger than “The hat.”
The discovery, once confirmed, could be significant across other fields of research, according to Rafe Mazzeo, a professor in the department of mathematics at Stanford University, who was not involved in the study.
“Tilings have many applications in physics, chemistry and beyond, for example in the study of crystals,” he said in an email. “The discovery of aperiodic tilings, now many years ago, created a stir, since their existence was so unexpected.
If they can work out how to tile around pipes at the back of a sink, or the u-bend of a toilet, without cricking my back out, i'd be more than grateful.