Color in your basic shape to look like something - an animal? a flower? a colorful blob? Add color and design throughout the tessellation to transform it into your own Escher-like drawing. The shape will still tessellate, so go ahead and fill up your paper.Then move it the same way you moved the squiggle (translate or rotate) so that the squiggle fits in exactly where you cut it out. On a large piece of paper, trace around your tile. Tape the squiggle into its new location.It’s important that the cut-out lines up along the new edge in the same place that it appeared on its original edge.You can either translate it straight across or rotate it. Cut out the squiggle, and move it to another side of your shape.Draw a “squiggle” on one side of your basic tile.The first time you do this, it’s easiest to start with a simple shape that you know will tessellate, like an equilateral triangle, a square, or a regular hexagon. Here’s how you can create your own Escher-like drawings. Tessellations are often called tilings, and that’s what you should think about: If I had tiles made in this shape, could I use them to tile my kitchen floor? Or would it be impossible? The first two tessellations above were made with a single geometric shape (called a tile) designed so that they can fit together without gaps or overlaps. So we’ll focus on how to make symmetric tessellations. It’s actually much harder to come up with these “aperiodic” tessellations than to come up with ones that have translational symmetry. The Penrose tiling shown below does not have any translational symmetry. Many tessellations have translational symmetry, but it’s not strictly necessary. 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). You can find the invention tessellation resource here.\)Ī tessellation is a design using one ore more geometric shapes with no overlaps and no gaps. ![]() I had so much fun creating artistic tessellations with my kids that I created a simple “I” tessellation research project for inventions! A list of 50+ inventions is included that students can research and report on in a fun way. Reflection or Mirror Tessellation Use a Collaborative Tessellation for a Research Project There are some videos for making rotational and mirror tessellations on YouTube once your students have mastered the simpler translation tessellation: square piece of paper (a small sticky note works well).You can also create complex tessellations by combining multiple operations. Rotation tessellations are accomplished by (you guessed it!) rotating the tessellated shape. This is the type of tessellation you can make easily with a sticky note (as shown below). Translation can be thought of as sliding the shape along a plane. They can be made by positioning the same shape with one of these three operations: Tessellations are patterns resulting from arranging, or tiling, shapes without any gaps. Certain basic shapes can be easily tessellated:Ĭombination shapes, complicated shapes, and animals such as the ones found on these sites are also examples to print and color: Tessellations are a fun, hands-on way to explore STEAM, whether you are in art class, math class, or in a STEM or STEAM classroom.
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