the regular tilings of the plane. These are arrangements of regular polygons that cover flat space entirely and perfectly, with no overlap and no gaps. Here are the familiar triangular, square and ...

These are arrangements of regular polygons that cover flat space entirely and perfectly, with no overlap and no gaps. Here are the familiar triangular, square and hexagonal tilings. We find them ...

The simplest tilings are made of identical polygons with sides of equal length and angles of equal measure joined full edge to full edge. But although there are infinitely many of these “regular” ...

The first tilings were made from square tiles ... Semi-regular tessellations are made of more than one kind of regular polygon. Within the limit of the same shapes surrounding each vertex ...

By tuning the strength of the surface potential using the lasers, the team controls the formation of the growing structures: regular crystals ... from which the tilings are constructed) that ...

KAYLA: And it’s a closed shape.It wouldn’t be much good as a pond otherwise. ADA: These properties tell us it’s a polygon.A polygon is a closed shape made of straight lines.Your pond is a ...