A new shape called an einstein has taken the math world by storm. The craggy, hat-shaped tile can cover an infinite plane with patterns that never repeat. Creatively tiling a bathroom floor isn’t just ...
The original version of this story appeared in Quanta Magazine. If you want to tile a bathroom floor, square tiles are the simplest option—they fit together without any gaps in a grid pattern that can ...
Look carefully! Mathematicians have invented a new 13-sided shape that can be tiled infinitely without ever repeating a pattern. They call it "the einstein." For decades, mathematicians wondered if it ...
Nature is full of patterns. Among them are tiling patterns, which mimic what you'd see on a tiled bathroom floor, characterized by both tiles and interfaces – such as grout – in between. In nature, a ...
Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss (CC BY ...
People have been surfacing floors and walls in tile for hundreds of years; it’s one of our oldest materials. But the industry keeps reinventing the product. Digital printing and fabricating advances ...
New research sheds light on how a certain kind of pattern in nature arises. Nature is full of patterns. Among them are tiling patterns, which mimic what you'd see on a tiled bathroom floor, ...
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