Mathematicians make even better never-repeating tile discovery


A patch of spectre tiles. Some tiles are considered odd (shaded) and even (not shaded) based on their orientation

A patch of spectre tiles. Some tiles are thought-about odd (shaded) and even (not shaded) based mostly on their orientation

https://cs.uwaterloo.ca/~csk/spectre/

Mathematicians solved a decades-long thriller earlier this yr once they found a form that may cowl a floor fully with out ever making a repeating sample. However the breakthrough had include a caveat – each the form and its mirror picture had been required. Now the identical staff has found {that a} tweaked model of the unique form can full the duty in only one orientation.

Easy shapes akin to squares and equilateral triangles …