Easy tessellation pattern8/9/2023 Rotation is spinning the pattern around a point, rotating it. To reflect a shape across an axis is to plot a special corresponding point for every point in the original shape. If a reflection has been done correctly, you can draw an imaginary line right through the middle, and the two parts will be symmetrical "mirror" images. Most commonly flipped directly to the left or right (over a "y" axis) or flipped to the top or bottom (over an "x" axis), reflections can also be done at an angle. The translation shows the geometric shape in the same alignment as the original it does not turn or flip.Ī reflection is a shape that has been flipped. These were described by Escher.Ī translation is a shape that is simply translated, or slid, across the paper and drawn again in another place. There are 4 ways of moving a motif to another position in the pattern. He adopted a highly mathematical approach with a systematic study using a notation which he invented himself. There are 17 possible ways that a pattern can be used to tile a flat surface or 'wallpaper'.Įscher read Pólya's 1924 paper on plane symmetry groups.Escher understood the 17 plane symmetry groups described in the mathematician Pólya's paper, even though he didn't understand the abstract concept of the groups discussed in the paper.īetween 19 Escher produced 43 colored drawings with a wide variety of symmetry types while working on possible periodic tilings. One mathematical idea that can be emphasized through tessellations is symmetry. If you look at a completed tessellation, you will see the original motif repeats in a pattern. The term has become more specialised and is often used to refer to pictures or tiles, mostly in the form of animals and other life forms, which cover the surface of a plane in a symmetrical way without overlapping or leaving gaps. They were used to make up 'tessellata' - the mosaic pictures forming floors and tilings in Roman buildings The word 'tessera' in latin means a small stone cube. When you fit individual tiles together with no gaps or overlaps to fill a flat space like a ceiling, wall, or floor, you have a tiling. If your students are distance learning this Google Slides presentation is key! Plus you’ll get three blank tessellation coloring pages….A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.Īnother word for a tessellation is a tiling. The same information as the black and white book above is presented here in full color. I’ve created a Google Slides presentation as an easy way to introduce tessellations to your students. The last two pages are interactive puzzles that allow your students space to use the tessellation related vocabulary they’ve just learned! Google Slides tessellation presentation…. It discusses the definition of tessellations as well as where we might see tessellations and the different kinds of tessellations. This tessellation book prints in economical black and white for easy sharing with your students. This printable packet is perfect for when the internet is’t available or when you prefer to do the teaching yourself! Introduce tessellations with this printable tessellation book… I’ve put together an eight page, step by step printable lesson pack for teaching tessellations to your kids.Įach step is illustrated with full color photos and/or original illustrations. Printable how to draw a tessellation lesson pack… Save them to your device and share them with your students through the platform your district uses- like SeeSaw or Google Classroom. The best feature of these instructional drawing videos is that they are downloadable. Each lesson is prerecorded so you can access it anytime that works for you and your students! I broke the tessellation drawing process down into a five part video lesson. Video lessons teach how to draw a tessellation step by step… All you student needs is paper, pencil, and way to add color if they choose!
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