Module 2 Project Due Oct 25 by 11:59pm Points 100 Submitting a file upload File Types pdf Submit Assignment Now that you've learned about symmetry and patterns it's time to make a tiling of your own....

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Module 2 Project Due Oct 25 by 11:59pm Points 100 Submitting a file upload File Types pdf Submit Assignment Now that you've learned about symmetry and patterns it's time to make a tiling of your own. Making a tiling by hand is not as difficult as you might think if you use some tricks. Note that this will not be the same as the way M.C. Escher made his drawings, but it can still make some nice results. 1. Blank, larger paper such as A4 or construction paper. You can pick any color you want, this will be the background of your drawing. 2. A 3 X 5 index card. 3. Scissors. Use care when handling sharp objects. 4. Tape. 5. A sharp pencil. 6. Something to make colors with if desired (this can be whatever you are most comfortable with, paint, color pencils, crayons, whatever.) 7. Depending on the underlying shape you want, you might want your compass and straight edge handy. These three videos will show you how to use your index card to make tessellations (tilings of the plane). In the video the artist uses a special grid paper to place the individual tiles, but you can do it without the gird just the same on your blank paper. In this first video she creates a tiling that has translation symmetry only. https://youtu.be/YANF3mxLDu4 (https://youtu.be/YANF3mxLDu4) (https://youtu.be/YANF3mxLDu4) 2 Module 2 Project Making a Tessellation Introduction  Materials Needed  Project Examples In this video she creates a tiling that has rotational symmetry as well. https://youtu.be/g29rqYaVkRI (https://youtu.be/g29rqYaVkRI) (https://youtu.be/g29rqYaVkRI) In this video she creates a tiling that has reflection symmetry. https://youtu.be/hM75KvQhsI4 (https://youtu.be/hM75KvQhsI4) (https://youtu.be/hM75KvQhsI4) In these three videos, the artist says at one point "you have to cut from corner to corner" but that is not entirely true. You can cut only partially across a side if you want as long as you line up carefully with your original cut. You can see an example of not cutting all of the way across the sides of the template in this video. https://youtu.be/RxwY5VQR0LM (https://youtu.be/RxwY5VQR0LM) (https://youtu.be/RxwY5VQR0LM) You can also read about another similar method for creating a tessellation (tiling) on this website. http://tessellations.org/methods-diy-papercut.shtml (http://tessellations.org/methods-diy- papercut.shtml) The link leads to a particular paper-cutting method, but the website does have even more methods if you are interested in trying a different one. To see the other methods they have, go up to the "Make Your Own" drop down and hover over the "How to Make a Tessellation" option. You can use any of the methods here if you would rather, but you do need to make a physical drawing when you are done, not one on a computer program. Be aware that selecting a different method might require different materials than what is listed above. One of the other methods you might find particularly interesting is called the "Gap Method". Also note that the methods shown that involve cutting a template from an index card can be done with any of the shapes we know can tile the plane and not just with a rectangle or square. If you want to use a triangle or hexagon instead, the method is similar you just need to cut your index card into the shape you want first! Create your own original decorative tiling of a sheet of paper. You can use any of the methods found above or your own if you want. The tiling should be more than just a regular tiling with only squares, hexagons, or triangles though. You need to decorate your tiling in some way. This can mean coloring it to look like a thing (like birds or houses or something) or you can make a more abstract coloring pattern. Whichever you choose, do make sure you have a pattern involved! Also remember that I am not grading you on drawing ability. When you have completed your tiling take a picture of it or scan it as a picture. Put the picture into a Word document, then explain your creation in words. In your explanation, tell about what type of symmetries are found in your tiling and what you decided to try to make your tiling look like. Save the file as a PDF and submit. The grade for this project is based on accurately constructing the tiling and correctly identifying the symmetries found in your creation. Make sure you take care to line up the shapes you are tiling carefully to preserve the pattern! Creativity will also be a small part of your grade, but the major portion is accurate construction and correct symmetry identification.  Project Instructions