![]() ![]() Finally, color your design with markers, colored pencils or crayons. (Remember that whatever details you add to one shape, will need to be added to EVERY shape! Keep your details simple.)ĩ. Trace over your pencil lines with a Sharpie and add details to each shape to help others recognize what you “saw” in it. Repeat this step until your whole paper is covered and there are no gaps or spaces.Ĩ. In other words, a tessellation is a never-ending pattern on a flat 2-D surface (such as a piece of paper) where all of the shapes fit together perfectly like puzzle pieces, and the pattern can go on forever. There shouldn’t be any gaps or overlapping. ![]() Now, pick up your tile and place it next to your traced design, as if it were a piece fitting into a jigsaw puzzle. (I use 12″x18″ paper when I do this with 6th graders.)Ħ. Place your tile on the center of a 9″x12″ paper and carefully trace around it. Lightly sketch your idea onto your tile…. Turn your newly created shape (we’ll call this your “tile”) in different directions and use your imagination to see if it “looks like” anything. If you walk down a path that is tile, chances are. You will also find tessellations in all manner of decorations for the home, like on wallpaper, curtains and carpets. When factories want to cut a shape out of a piece of metal, for example, they do it in tessellations in order to reduce waste. (For older students, you can make this project more challenging by having them repeat this step on an adjacent side of their card, as in the sample project above.)Ĥ. Tessellations also have lots of uses for people. If you include a corner in your cut, it makes it easier to line the shape up on the opposite side. Now, tape the shape so that it is exactly across from the spot you cut it from. (The lines on your index card will show you if you’ve flipped or turned it!)ģ. Next, cut a shape from one side of your 3″x3′ card, and slide it to the opposite side of the card, without flipping it over or turning it. Can you do it He was also considered the Father of modern tessellations. Try to figure out which way the people are walking. However, you can solve this by adding another shape between the circles (such as a curved-sided diamond) to make a tessellating pattern. Circles don’t tessellate, because there will always be gaps between them. An example of this can be seen in Relativity. For example, squares can be tessellated, because when you place them next to each other, there are no gaps between them. Image caption, Examples of tessellations. Escher was known for the 'impossible structures' shown in his art. Polygon – a shape with three or more sidesĢ. A tessellation is a pattern created with identical shapes which fit together with no gaps or overlaps. Tessellation – a pattern made with polygons that completely fills a space with no gaps, spaces or overlaps. ![]() Escher – a Dutch artist (1898-1972) who is best known for his mathematically inspired drawings and prints which displayed great realism, while at the same time showing impossible perspective, eye trickery and metamorphosis. ![]()
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