3/18/2024 0 Comments Example of a tessellation![]() ![]() This activity was inspired by the teaching resources: Exploring Tessellations, by the Exploratorium and Islamic Art and Geometric Design, by the Metropolitan Museum of Art.ĭownload a free Homes Handbook for further learning in the third app from the Explorer’s Library, Homes. Share your kids’ creations and discoveries on Facebook, Twitter, or Instagram and use the hashtag #tinybop - we love seeing what you’re up to. For example, equilateral triangles tessellate like this: Lets think about other triangles which tessellate: You can print off some square dotty paper, or some isometric dotty paper, and try drawing different triangles on it. Do the same shapes come together at every point?Įxtra credit question: do the interior angles of the shapes add up to 360 degrees at each point? Hint: the interior angles of regular shapes are: triangles = 60 degrees squares = 90 degrees hexagons = 120 degrees. We say that a shape tessellates if we can use lots of copies of it to cover a flat surface without leaving any gaps. What shapes come together at that point? Pick a few more points. If you continue to grow the pattern in all directions, will it keep repeating without gaps or spaces? Pick any point where shapes meet. Where did tessellations come from Tessellations were first used by the Sumerians at about 4,000 BC to build wall decorations in patterns of clay tiles. Find a special spot in your home to hang your tessellation.ĭouble-check your patterns to make sure they’re tessellations. Tessellation comes from the Latin word tessela, which is a piece of clay, stone or glass used to make a mosaic (a pattern laid out with these materials).Glue your favorite tessellation to a sheet of large paper.Select three shapes: make a repeating pattern using three shapes.The idea is that the design could be continued infinitely far to cover the whole plane (though of course we can only draw a small portion of it). Select two shapes: make a repeating pattern using two shapes. A tessellation is a design using one ore more geometric shapes with no overlaps and no gaps. ![]() Starting with a pattern of squares can produce a resulting tessellation with an order 4 rotation and symmetry group p4. The tightly-packed, scutoid-shaped epithelial cells that line skin, intestines, blood vessels, and organs are the cells in a three-dimensional Voronoi tessellation. Select one shape: make a repeating pattern using one shape. Other examples of Type III tessellations are Sketch 90 (Fish) and Sketch 93 (Fish), where in the latter the eyes and mouths of the fish destroy the rotation symmetry of the silhouette.(Use Homes activity #3 for traceable patterns.) Cut out lots of equilateral (all sides are the same length) triangles, squares, and hexagons in different colors.Homes activity #3: shape patterns ( print it!). ![]()
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