Save guides, add subjects and pick up where you left off with your BBC account. Polygons can be regular or irregular in shape. A polygon is a closed 2D shape with at least three sides. A regular ...

What do these two facts have to do with the tiling of regular polygons? By definition, the interior angles of a regular polygon are all equal, and since we know the number of angles (n ...

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” ...

In mathematical terms, "regular" describes any shape ... As for shapes with seven or more sides, no such polygons tessellate unless they have an angle greater than 180 degrees.

Think of bathroom floors, with regular polygons repeating in a pattern wall-to-wall. Nature, meanwhile, rarely resorts to straight edges and pointed angles. In the words of IFL Science’s Katie ...