![]() The only regular polygons with this feature are equilateral triangles, squares, and regular hexagons. 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. 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. 1 Early Greek philosophers studied pattern, with Plato. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. These patterns recur in different contexts and can sometimes be modelled mathematically. ![]() What shapes come together at that point? Pick a few more points. Patterns in nature are visible regularities of form found in the natural world. If you continue to grow the pattern in all directions, will it keep repeating without gaps or spaces? Pick any point where shapes meet. Find a special spot in your home to hang your tessellation.ĭouble-check your patterns to make sure they’re tessellations.Select two shapes: make a repeating pattern using two shapes. There are only three types of regular tessellations, each made from one of the three geometric shapes mentioned above. (Use Homes activity 3 for traceable patterns.) Select one shape: make a repeating pattern using one shape. ![]() Glue your favorite tessellation to a sheet of large paper. Make tessellations: Cut out lots of equilateral (all sides are the same length) triangles, squares, and hexagons in different colors.Select three shapes: make a repeating pattern using three shapes.Select two shapes: make a repeating pattern using two shapes.The breaking up of self-intersecting polygons into simple polygons is also called tessellation (Woo et al. The name tessellation comes from the Greek word tesseres which translates to four. The forms themselves need not be identical, but the patterns should be repeated. Tessellations can be specified using a Schläfli symbol. Tessellations are regular patterns created by the repetition and seamless joining of flat forms. Hexagonal tessellation Each polygon is a non-overlapping regular hexagon. In other words, the three corners of a triangle together make up a straight line. At each point, there are six corners, consisting of two copies of each corner of the triangle three on one side of a line and three on the other side. Square tessellation Each polygon is a non-overlapping square. Six triangles fit around each point of the tessellation. ![]() Triangular tessellation Each polygon is a non-overlapping equilateral triangle.
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