A geometric shape that does not repeat itself when tiled

A quartet of mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas has discovered a 2D geometric shape that does not repeat itself when tiled. David ...

Scientists discover fractal patterns in a quantum material

A fractal is any geometric pattern that occurs again and again, at different sizes and scales, within the same object. This "self-similarity" can be seen throughout nature, for example in a snowflake's edge, a river network, ...

How to test whether we're living in a computer simulation

Physicists have long struggled to explain why the universe started out with conditions suitable for life to evolve. Why do the physical laws and constants take the very specific values that allow stars, planets and ultimately ...

Exploring tessellations beyond Escher

(PhysOrg.com) -- By incorporating geometrical concepts into his artwork, M. C. Escher demonstrated the potential beauty that could be achieved by combining mathematics and art. One of Escher's most well-known types of art ...

Peru unveils giant cat etching at famous Nazca site

A giant 2,000-year-old figure of a feline that was on the brink of disappearing will be the new cat's meow when Peru's remarkable Nazca Lines attraction reopens to tourists in November.

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