For ease of folding, fold a 16 x 16 square grid and cut one strip each from two adjacent sides to make a 15 x 15 grid. Eric s first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning. Tessellation basics booklet now available free pdf. Gjerde e origami tessellations by vetervmae011 issuu. Anything thats made using origami techniques with repeating shapes is usually ok.
All of these are based on heres a crease pattern, fold along all the lines, and then collapse all the lines simultaneously. Using an equilateral triangle, draw a wavy line down one of the sides. This flower, designed by david martinez, is an exquisite example of using the principles of folded tessellations. I use the word origami to refer to both the crease pattern and the finished folded object. Origami tessellations are a very interesting and unique use of paper.
When one thinks about the art of folding paper origami, one typically might associate it with paper cranes, or perhaps other animal forms. An origami tessellation is a piecewise linear isometry ofr2 which is invariant. Pdf tessellating the cosmological darkmatter sheet. Pleating pieces, radial designs, and all that are quite welcome. Erics first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning. Download the pdf this document is just a small taste of the material from the book, put together from some of the draft work and preliminary writings. This one sheet of paper is folded such that it has a tessellated pattern. Aweinspiring geometric designs by eric gjerde, but i havent tried to fold anything from the book yet. So im posting it now in the same format that i used at the origami usa convention this summer. Eric gjerde this document is released under the creative commons attributionnoncommercialnoderivs 2. Origami tessellations pattern ron resch tessellation and curved version creativepaper origami for everyone from beginner to advanced diy fan just click the link to read more about origami tutorials find more information on origami designs creased paper barrel beautiful structural shape. Origami tessellations have visual similarities to the tessellations mentioned above. Eric gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. These tessellations each consist of a single, repeating shape.
The seven chapters look at which shapes will tessellate, why certain shapes. Lattice mechanics of origami tessellations arthur a. Although eric gjerde s book is fantastic, it does require good basic origami skills and perhaps a love for working out the details yourself. Origami tessellations aweinspiring geometric designs. Tess is a computer program that can make crease patterns for origami tessellations. Origami tessellations are really new, and hardly any information about them is available. This group has three different rotation centres of order three 120. Pdf tessellations are valuable both conceptually and for analysis in the study of.
In this paper, we use a recently discovered method for determining rigid foldability to identify existing flatfoldable rigidly foldable tessellations, which are also categorized. Geometric origami flowers appeal to our sense of beauty and offer an experience of meditative mathematical repetition. Three very common examples used in origami tessellations are the 3. If you like origami, youll probably also enjoy searching for paper. Documents similar to eric gjerde origami tesselation. Origami tessellations eric gjerde haftad 97815688145.
For starters, i presented some origami tessellations stepbystep. And apparently robert lang is publishing a third book next year. And this is actually one of the models thats described in here. It has reflections in the three sides of an equilateral triangle. Origami tessellations eric gjerde 200506 01 solid lines valley fold dotted lines mountain fold. Santangelo1 1 department of physics, umass amherst, amherst ma 01003, usa and 2 department of physics, cornell university, ithaca, ny 14853, usa origami based design holds promise for developing materials whose mechanical properties are. The diagram of the tessellation i folded was published in orison number 2 2010, the dutch origami magazine. Steve edwards web site shows an impressive collection of tessellations from egyptian tombs up to modern day patterns. You can find out more about wallpaper patterns at xahs wall paper patterns. Eric gjerde origami tessellations pdf free download as pdf file. Focus in on one of the more elementary types of tessellations and investigation of them through concepts basic to art, geometry, and design. Eric gjerde origami tessellations pdf origami printing materials.
In a previous post we talked about the different kinds of tessellations and a bit of the history behind them. Santangelo1 1 department of physics, umass amherst, amherst ma 01003, usa and 2 department of physics, cornell university, ithaca, ny 14853, usa origamibased design holds promise for developing materials whose mechanical properties are. Download a windows executable of the program version 1. Though this kind of origami is often called a tessellation, this is not really the right word. With stepbystep instructions, illustrated crease patterns, and howto photos, youll learn to create these wonderful designs yourself. Definitions, which, by definition, try to draw definite border lines, can only do injustice to this field. Basket weave tessellation, designed by joel cooper and folded by tom crain photo by evan. Some have a step by step way to get there, but for most you have to prepare all the folds in advance, and then collapse the model. Other pieces utilize three dimensions more fully, with repeated structures rising out of the flat page. In 1966, however, artist ronald resch patented several origami tessellation designs 6. Eric gjerde demonstrates 25 of his favorite tessellations and. Eric gjerde origami tesselation free download as pdf file.
There are corrugations, molecules, curved tessellations, and so many other subcategories. The best advice i can give is to start exploring yourself. There are three basic tessellation patterns, called regular tessellations which tile in. Origami tessellations by eric gjerde and alberlos youtube. Esher has popularized the concept of tessellations to the general public, and islamic tessellations may have influenced modern day origami tessellations. For most tessellations, this is the most time consuming phase. Aweinspiring geometric designs needed an alternative title, it might be. Origami tessellations are essentially patterns, folded with origami, that repeat. Some of his pieces fold nearly flat, forming layers that add just a hint of depth. Thirteen kawasaki roses, made from a single square of elephat hide twosided paper with a smooth, marblelike appearance.
These pieces look beautiful when lit from behind, due to the variations in brightness and color. The top is a modification of the spread hex tessellation, designed by eric gjerde. Of course origami has never been just for kids, but this book should convince you that you can create some great art using origami techniques. This is why i decided to make a bunch of instructional videos, which help a bit with those details. You might also consider the origami corrugation pool, if your work is along those lines as well. The less waves, the bettertoo many will make it very difficult to tessellate. See more ideas about origami, origami paper art and origami paper. Oct 03, 2014 in this video, im going to show you origami tessellations that i designed, and other ones by eric gjerde. You can look inside of the book and eric has included some impressive gallery pictures of tessellations that he has folded as well as others. Origami tessellations bygjerde paperback january 1, 2008 by gjerde author see all formats and editions hide other formats and editions. Mahadevan 1,3,4,5 origami describes rules for creating folded structures from patterns on a.
Although eric gjerdes book is fantastic, it does require good basic origami skills and perhaps a love for working out the details yourself. Reconstructing david huffmans origami tessellations. Lots of tessellations, including some to cut out and fold. Unlike traditional origami, tessellations are mostly based on precreases. An extensive gallery showcases tessellations folded by the worlds leading origami fine artistsinspiring you to experiment, innovate, and eventually create your own. This pattern has the symmetry group of the wallpaper pattern p4m also called 442. Precreasing one of the fundamental basics of origami tessellations is the concept of a precreased grid. Rigidly foldable origami allows for motion where all deflection occurs at the crease lines and facilitates the application of origami in materials other than paper.
Eric gjerde focuses on the geometric art of origami tessellations. Nov 28, 20 dont forget to like and favorite this video. I think the most basic molecule needs at least 4 creases, and usually much more. But theres a new kind of origami thats becoming quite. Technically, we can define an origami tessellation as follows. Origami tessellations aweinspiring geometric designs free download as pdf file.
These are instructions for making a certain origami tessellation pattern, pictured above. Coopers representational sculpture, and eric gjerdes book 7. This book explores a class of geometric patterns called tessellations, a pattern made up of one or more shapes which completely cover a surface without any gaps or overlaps. Tessellations are the new trend in the origami world. On the mathematics side, lang and bateman 8 recently characterized a general family of. This pool is specifically for origami tessellations. On the other hand, important designs of 3d origami tessellation patterns andor their structural applications have been investigated, e. Origami tessellations often follow one of these six tessellation geometries by employing. Or theres this really good book came out recently by eric gjerde, origami tessellations. This allows you to freely copy, distribute, display, and perform this work under the following conditions. Unlike traditional origami, theres no sequence of steps. The infinite possibilities of origami educator guide. By an origami tessellation, i mean a flat foldable repeating origami. Apr 03, 2010 this is the first tessallation i made.
Here, starting from the simplest periodic origami pattern that yields onedegreeoffreedom. This tessellation, designed and folded by origami tessellations guru eric gjerde, is an example of the p3m1 wallpaper group. Especially if you appreciate the mathematics and design behind them. An origami tessellation is not made of separate pieces of paper placed side by side.
He soon combined the techniques of origami tessellation with his background in sculpture to. In a previous post we talked about the different kinds of tessellations and a bit of the history behind them for this post were going to get right into the tessellations starting with this very neat looking brick wall. The folds that develop are called caustics, and they tessellate space into. Instructions for folding the spread hex tessellation can be found in eric gjerdes. Mar 31, 2010 you can buy it in many online shops, although not all will sell it in sizes larger than 15cm 6in. They ship worldwide, so that does make the world smaller. A screen shot of the perltk interface is shown below. Eric s first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. Origami historian david lister 4,5 attributes the origin of origami tessellations to shuzo fujimoto, a japanese schoolteacher of mathematics who selfpublished the. Sep 07, 2010 here is another link to eric gjerdes book origami tessellations. This hybrid technique allows for easier construction of certain shapes and forms which would otherwise be. There are presently two books i know of, origami tessellations by eric gjerde, and six simple twists by benjamin dileonardoparker. When asked by his parents what he wanted to be when he grew up, fiveyearold eric replied, a paperologist.
443 372 35 369 1091 1014 1082 1482 1238 187 561 832 745 1394 1416 939 662 799 439 98 521 569 1246 1123 962 750 274 968 322 459 118 375 601 127 1018 934 1231