You'll be amazed that the "conservation of shape" we are demonstrating also means that the shapes do continue to tessellate! Try it on a scrap of copy paper. Do we really have to match up those corners? Try it, trace it, and see what happens. Cut a square from one corner to an adjacent corner, pull it across and tape it down. Note that a true tessellation covers the entire plane. It's this trial and error that fuels STEAM education in art.įor example, the Translation method is the most common for tessellations. In a tessellation, you can perform a translation and the image looks exactly the same. Experimentation is something we can do more of in our classes. Most people work with just squares, but did you know many of the same techniques work just as well with rectangles? We have been told to "line up the corners," but in actuality, for many techniques, you don't have to. Can you make the tessellation by translating single tiles that are all of the same shape and design If so, show how. Spherical Geometry: Isometry Exploration Explore the properties of translations, rotations, relfections and glide reflections on the sphere. By expanding the techniques beyond the basic square and rudimentary techniques, life can be breathed back into the work and even offer opportunities for expression. In later examples, a cell can be transformed to make a bigger unit (which we may call a tile) before translating. Regular Spherical Tessellations Exploration Find the regular tessellations of the sphere. Though tessellations can be fun, with great connections to math and geometry, they can become tedious and mechanical. The process of covering a surface with non-overlapping geometric shapes is also known as tessellation.
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