The simplest way to create a non-polygonal tessellation is by changing the opposite sides of a square, rhombus, hexagon, parallelogram, or rectangle tessellation.

Getting Started. . .

1. Choose one of the polygons listed above. After you have made your decision you need to open a script that will draw the figure for you.
2. Before you "play" the script you must select two points. After you have the two points selected hit the "play" button on the script.
3. Move the figure until it is oriented on the screen the way you want it, and hide the point in the center and the color inside the figure.


After you have your basic polygon. . .

1. Change the color to one other than that of the original polygon so that your constructions are easy to distinguish from the original.
2. Delete two opposite segments in the figure. Replace one of these segments with a wacky series of straight lines and curves.
3. Select one of the vertices of your original figure (an endpoint of the thing you just drew) and also the vertex that is directly opposite it. Then select Mark Vector from the Transform menu.
4. Next select all of the segment, points and curves which you just drew and nothing else. Make sure you do NOT PICK THE VERTICES OF THE ORIGINAL FIGURE!!!!
5. From the Transform menu select Translate and click OK. COOL. Look at that!!
6. To finish, repeat steps #2-5 until you have changed all of the sides of your original figure.


Tessellating the plane. . .

1. Select any one of the vertices of your original figure and also the vertex that is directly opposite it. Then select and mark vector from the transform menu.
2. Select the entire figure which you have just created.
3. From the transform menu select translate and click OK. Cool. You should have twice as many of those really wacky shapes.
4. Keep translating the figures until you have about nine or twelve covering your sketch. You may need to mark a new vector occasionally. You can translate two or more at a time which will save you some time!

5. When you have finished, you need to select the point tool and go to the edit menu. Choose select all points from the edit menu. While they are all selected hide them all, so your tessellation is made up of lines segments only. You should also put your name in a text box at the bottom of the sketch.
6. To print go to print preview and choose scale to fit on page. Then send your tessellation to the printer.