Hexagonal and rhombic tessellations from Wikimedia Commons. Triangular tessellation from pixababy.If you want to try a more complicated version, cut two different squiggles out of two different sides, and move them both.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). Creating the template by hand and not a computer means it can be challenging to make a perfect angular heart.\)Ī tessellation is a design using one ore more geometric shapes with no overlaps and no gaps. If you are creating the template in a classroom, this is a good place to discuss how to create a perfectly symmetrical heart and how exact measurements are necessary to make perfect tessellations. Sorry 'bout that ( but you can see it in action in the video above.) (Somehow I forgot to take a photo of tracing the template. Our measurements were approximately 6 cm and 3 cm.Ĭut out the template on thin cardboard and trace a couple of practice tessellations to make sure your template is accurate. Be sure that the measurement of side of the heart is twice as long as one of the top "sides" or your tessellations will be off. We finally decided on an 80 degree angle, which we drew with our protractor. This took a bit of experimentation on our part to find the right angle for the bottom point of the heart. 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. Regular periodically tiling involves creating a repeating sampler from multilateral figures, each one encounter vertex to vertex (the point of intersection in three or more bordering tiles). Six triangles fit around each point of the tessellation. Art supplies such as colored pencils, markers, etc. And most common configurations are weekly tessellations and semi-regular tessellations.How to Make Heart Tessellations with a Template
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