![]() 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.A tessellation of -dimensional polytopes is called a honeycomb. There is also a 16-sided space-filler and a convex polyhedron known as the Schmitt-Conway biprism which fills space only aperiodically. 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. Examples include the cube, rhombic dodecahedron, and truncated octahedron. 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. Take a look around and you are sure to see a tessellation at some point. Specifically, according to the Miriam-Webster online dictionary, a tessellation is a covering of an infinite geometric plane without gaps or overlaps by congruent plane figures of one type or a few. ![]()
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