In the 1970s, mathematician Roger Penrose discovered that two shapes could form a non-repeating tiling pattern together, prompting hopes that a single shape may be found to do this one day.

Then, they create a 2D pattern to camouflage that image. Finally, a computer program using a Magic Eye-patented algorithm takes the image model and the pattern and orients repeating patterns to ...

Never-Repeating Patterns of Tiles Can Safeguard Quantum Information Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of ...

Mathematics Mathematicians make even better never-repeating tile discovery. An unsatisfying caveat in a mathematical breakthrough discovery of a single tile shape that can cover a surface without ...