A ‘vampire einstein’ tile outdoes mathematicians’ latest feat
The shape covers an infinite plane with a non-repeating pattern that doesn’t use mirror images
A shape called a spectre covers an infinite plane but only with a pattern that doesn’t repeat (small section shown), and which requires no mirror images of the shape. Although certain clustered arrangements of the tiles can reappear, the entire pattern doesn’t repeat indefinitely, as a checkerboard pattern does, for example.