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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.
The 'einstein tile' – capable of perfectly filling a space without ever repeating – has long been theorised but never discovered before now.
A new 13-sided shape is the first example of an elusive "einstein" — a single shape that can be tiled infinitely without repeating a pattern.
And it all began with a hobbyist “messing about and experimenting with shapes.”
A team from the University of Arkansas has discovered the first shape that can cover a wall without creating a repeating pattern. This property is known