The only regular polygons with this feature are equilateral triangles, squares, and regular hexagons. Please note: As always, the links in this post are provided for your convenience only they are not affiliate links that pay me if you click on them.\). She has some beautiful examples of tessellated quilt patterns.įor those in the Greensboro MQG, I hope you will design some tessellations and bring them for show-and-share in April! See you there! This book goes into a lot of detail on how to make complex tessellations, but is easy to understand despite this. This one is practical and relatively easy to understand.ĭesigning Tessellations by Jinny Beyer. Introduction to Tessellations by Dale Seymour and Jill Britton. Escher), look at artist Juliana Kunstler’s website.Īnd here are a few of the many books available about tessellations: įor a detailed lesson on how to make more complex tessellations (more like M. At this point things become much more complex, and lead to the kind of tessellations that make almost anybody’s head spin! Luckily, there is an excellent step-by-step tutorial on how to do that at. It’s also possible to cut off a piece, move it to another location on the block, and then rotate it. It follows that there are only three distinct types of regular tessellations: those constructed from squares, equilateral triangles, and hexagons. We’ve all seen “puzzle block” quilts made like this. In this example, two squares were cut from each block and both moved directly across. The shapes still interlock just fine, but my head begins to spin at this point. Then I colored alternate squares differently so the pattern would be obvious I n this example, I have cut a square out, moved it to the other side, AND slid it down. I cut a triangle out of the left side of the square and added it to the right side. At zero, the square twist folds 'through' itself, then repeats the same folding process to unfold in the other direction. It ranges from to and determines all of the other crease angles. 'Dihedral angle' is the angle formed by a specific crease in the square twist. Here are some tessellations I have made to illustrate various possibilities. 'Size' is the number of square twists repeated in each direction. There are many variations on this, and I suggest you get some index cards and just go for it. The links above go to places that allow you to print various dot or triangle papers, but full disclosure: I haven’t tried them, since I have the book!Īnother common way to make tessellations is to start with a piece of paper, cut a hunk out of it, and move the hunk to another edge. If you check the internet, you can find places to print any of these, or there are samples in the back of the book for you to reproduce. Options include regular graph paper with squares, dot paper, and triangle paper, as well as paper pre-printed with hexagons. The take-home from this book is that tessellations are easier to design if you use graph paper of various kinds to guide your drawing. Tessellations: A tessellation is an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping. It’s an old book, but math doesn’t change much and it should be available second hand. The book I used most in learning about tessellations is Introduction to Tessellations by Dale Seymour and Jill Britton. With regard to the printed material, I have great luck finding used books to order online, mostly through AbeBooks. Rather, here are just a couple of examples and then some references you can use on the internet or get at a book store. Now that most of us have access to the internet, there’s a ton of good information out there about tessellations, so I’m not going to repeat it here.
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