Nonlinear Tessellations

Construction

Step 4

Use the symmetry of the diagram to fill in the rest of the first stage.
Draw all circles with centers the midpoints of a side and passing through the endpoints of the side.
Also draw all circles with center a vertex of the hexagon and radius determined by the intersection of the circles just drawn with the perpendicular bisectors of the sides.
Left: All the arcs of circles with center the midpoint of a side. Right: All the arcs with center a vertex of the hexagon.

Return to construction.