Attack on the pentagon results in discovery of new mathematical tile Joy as mathematicians discover a new type of pentagon that can cover the plane leaving no gaps and with no overlaps. It becomes only the 15th type of pentagon known that can do this, and the first discovered in 30 years
Five stars! The pentagon tiles are all identical. The colouring shows how they
tile the plane when arranged in identical groups of three.
Illustration: Casey Mann
In the world of mathematical tiling, news doesn’t come bigger than this.
In the world of bathroom tiling – I bet they’re interested too.
If you can cover a flat surface using only identical copies of the same shape
leaving neither gaps nor overlaps, then that shape is said to….