aperiodic tiling
A tiling made from the
same basic elements or tiles that can cover an arbitrarily large surface
without ever exactly repeating itself. For a long time it was thought that
whenever tiles could be used to make an aperiodic tiling, those same tiles
could also be fitted together in a different way to make a periodic
tiling. Then, in the 1960s, mathematicians began finding sets of tiles
that were uniquely aperiodic. The most famous of these are the Penrose
tilings.
Related category
• TILINGS
