The pegasus design in the left block has been overlaid with a grid of squares to reveal the hidden square tessellation grid. The pegasus is composed of two translations, but the element of the pegasus can stand as a single tessellation element.
! " Regular Hexagon Tessellation Exercise: (7) Using a compass, centimeter ruler to construct the hexagon tessalation pattern shown above. Extend it as far as you can on an 8.5 in x 11 in blank sheet of paper. The side of the hexagon is 4 cm. Make three copies of the tesselation pattern. Make three Escher style graphic designs. If you draw the diagonals of the hexagon, you will have six equiateral triangles inside. The equilateral triangle and hexagon tesselations are closely related. Threre are only three regular polygons which can form tesselations in a plane.