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This example of a Tessellation is for the Advanced Graphic Design Students who are caught up on their other assignments, and are waiting for the next one to be assigned. Though this example is for doing a tessellation by hand, it can be completed a lot more quickly in Adobe Illustrator.
Download the PDF instructions for how this tessellation was created (keeping in mind that, for the Illustrator project, you will replicate the procedure on the computer.
If you haven't learned how to use the Pathfinder tool in Adobe Illustrator, I will demonstrate it for you, as it will make the creation of the tessellation much simpler.