Tiling the Plane with Quadrilaterals
- David Chandler
Will all quadrilaterals tile the plane?
This demonstration shows that any quadrilateral (4-sided figure) can tile the plane. Try dragging each of the vertices, making as contorted a quadrilateral as you like. Note that at each vertex in the tiling pattern one angle matches each angle of the original quadrilateral. The sum of these angles is 360°, a fact proved in this chapter, so the figures wrap around the point perfectly.