A Simple Method For Creating Tessellations From Rectangles
In this assignment we will see one more method for finding
tessellations. This method works with any rectangle, and is quite
simple to use.

Cut out a rectangle out of an index card or poster board. You can make it
any size, but to be able to see the resulting tessellation, you might
want to make it no larger than 2 inches by 2 inches.

Draw a line from one side to the opposite side. Make it as simple or as
complicated as you wish.

Cut along the line you drew and interchange the pieces. Tape them
together.

Draw another line on the resulting figure in a perpendicular direction
to the first line.

Cut along the line you just drew and interchange the pieces. Tape them
together.

The resulting shape will tessellate the plane.
Take a piece of paper, and trace repeatedly your figure in order to
tessellate part of the plane. You can form a pattern of four figures by
rotating one about a point three times to get a pattern like the one
below.
If you wish to see, step by step, this procedure,
click here.