Researchers have discovered a new 14-sided shape called the Spectre that can be used to tile a surface without ever creating a repeating pattern, ending a decades' long mathematical hunt.
What has 14 sides, is full of curves, and can perfectly cover a surface with no gaps or overlaps? It's not a riddle — it's a"vampire einstein."
Since 1961 mathematicians had wondered if such a shape could exist. At first, mathematicians found a set of 20,426 shapes that could tile together while creating a pattern that never repeats . Eventually, mathematicians found a set of 104 shapes that could create such a never-repeating tiling. But for all the celebration around Smith's discovery of an einstein tile, there was one small fly in the ointment. In order to create the non-repeating tiling, the"hat" had to work with its mirror image. Technically it's the same shape, just flipped, but some argued that Smith hadn't really found a true einstein.
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