A unique shape, a 3D einstein tile, has been discovered

AI helped uncover a special object that can fill space without repeating patterns

Spazio Scientific American 2 g fa

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It may look like a child’s LEGO creation, but it’s a mathematical marvel. Researchers have just discovered a three-dimensional “einstein” tile —a special shape with unique capabilities.

The finding follows a major announcement from 2023, when a new hat-shaped tile called an “einstein” rocked the popular mathematics world. David Smith, an amateur mathematician, discovered that shape. In an article later published in Combinatorial Theory , he and three other researchers—Joseph Samuel Myers, Craig Kaplan and Chaim Goodman-Strauss—proved that “the hat” was the first known example of a…

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