A tessellation is a repeating pattern made out of geometric shapes. Here are 5 close-up photos of origami tessellations all folded from 1 piece of paper.
作品名稱 : Origami Tessellations 棋盤鑲嵌式摺紙 三角型基本篇 網友問 : 呵~~~摺上癮了 繁瑣之下，卻顯出簡單的美 看到都會發呆 不知大大是否考慮做基本的教學， 就是用正方形的紙如何摺出正三角形， 以及長方形如何摺出正三角形 ...
Origami tessellations are a technique which makes it possible to create complex, repeating patterns on a plane by folding a single sheet of paper. Tessellations can be folded as standalone models or be used as parts of more complex designs, for example as scales in a figurative model representing an animal or as decoration on origami boxes.
The basic tessellation works well as either a hemisphere or a petal. The X-pattern looks good but is not flexible enough to fold and stretch due to the twisted form. I’ll try the folding on d…
Origami tessellations are a technique which makes it possible to create complex, repeating patterns on a plane by folding a single sheet of paper. Tessellations can be folded as standalone models or be used as parts of more complex designs, for example as scales in a figurative model representing an animal or as decoration on origami boxes.
Square Weave Tessellation by Eric Gjerde, folded from a single sheet of paper — photos and description.
Explore mike.tanis' 838 photos on Flickr!
Here's a fun and straightforward origami tessellation that I knocked out fairly easily at work one day. Just a basic hex flower that r...
Single unit here: www.flickr.com/photos/spiritofcat/3602755774/ Completed fold here: www.flickr.com/photos/spiritofcat/3597680862/
Going through some old files, and I found this shot of the "extended version" of the waterbomb tessellation from my book. This was before I wetted it and pressed it underneath books to make it flat - prior to that it was curling up into a cylinder like this, completely uncontrollably... problematic! Sharing the photo because I haven't folded anything in a long while.
There are two major types of origami tessellations, classic tessellations and corrugations. This post features 25 great classic ones and corrugations.
Explore Andrea Russo Paper Art's 716 photos on Flickr!
My first tessellation from Eric Gjerde's book. On 20x20cm Lokta paper. About 3 hours including pre-creasing
When I first saw a tessellation artwork by M.C. Escher, I was amazed. 'How does he do it?' I thought. Then I was shown a simple way to create an Escher-style tessellation. This is a wonderful activity to do with children. Every child I have introduced to this artwork has been 'switched-on' to create. Mathematics meets Art, in a marvellously creative way. Below I have shared the steps I followed to create a fish tessellation. 1. Start with a simple geometric shape of card that will tessellate. (Fits together without gaps, to cover a flat surface.) For this fish, I used a square. 2. Draw a line from top to bottom to form the fish's face. Cut along this line. 3. Tape the two pieces together. 4. Cut a fin shape out of the bottom of the fish. 5. Flip and slide the fin to the top and tape it. This will form a fish template. 6. Trace around fish and repeat in a tessellating pattern. You will need to flip the fish for each new row. 7. Decorate and admire! This idea can be adapted to make other animals, monsters, birds, or even just an interesting shape. You don't have to start with a square, but I find it is the easiest. You can experiment with hexagons, triangles, rectangles, or any geometric shape that will tessellate. Happy Creating! See more of Sally's work at sallyfawcett.blogspot.com.au
One of the things I enjoy most about blogging is being able to revisit an artist I've featured in the past to see the latest in his/her ...
I have been asked by various people for help on van Kollem tessellations, hence this tutorial. Hope it is useful. The above shows a basic building block – a 4×4 molecule of a square. I h…
Square Weave Tessellation by Eric Gjerde, folded from a single sheet of paper — photos and description.
Paper Mold Origami Fabrics 3 - Complex: This is the third pattern of the project that features previous two patterns: the linear and V pleats. This pattern mirrors the V pleats into a "tessellation origami". If you are not familiar with the basic linear and V grid to start with the origam…
Once upon a time (in my first year of teaching), I taught a tessellation project to my 4th grade students. Just like any good fairy tale, at some point things took a turn for the worse. As great as some of the projects turned out, I was exhausted by the amount of hovering it required me to do as a teacher and left me yearning for a different project. But again, just like any good fairy tale, this story has a happy ending... After taking a 3 year break from tessellations, I have finally made my comeback with an awesome tessellation project for my 5th grade students. Yayyyy! I started this project by showing my students an awesome PowerPoint that I put together that explains exactly what a tessellation is, some famous examples from history, and then differentiates between the 3 major types of tessellations: translations, rotations, and reflections. After showing them the PowerPoint, I gave each of my tables a basket that contained a few 3"x3" pieces of tagboard, a written set of directions (in case students get confused), scissors, and tape. Then I showed them step-by-step how to create a translation tessellation piece using my document camera (see the directions to the left). **A trick that I used this time teaching was to have students draw their shape from one corner to the adjacent corner. That way they don't have to worry about lining up the cut-out piece directly across from the original cutout.. you just have to line it up on the side. (This sounds confusing.. just look at my visual below.) Once students finished creating their own pieces, I passed out large sheets of scrap paper and had them practice making tessellations with their piece. This was their opportunity to make sure that their piece was properly crafted and that it would work. This was also a great opportunity for me to be able to walk around and assist those that found that their piece wasn't working. Once they verified that their pattern piece would work, I asked them to turn their piece around and see if they could see something that they could make their shape into (some type of character or monster). Monsters are honestly the easiest to do because, as I explained to my students, you can take any type of blob shape and slap some eyes on it and call it a monster (just being real). :) Once my students knew what they were going to make their shape into, I gave them a sheet of 9"x9" white drawing paper to use for their final project. I advised my students to use the original edges of their tessellation piece to help them to line up their shape on their sheet of paper. Even though this cuts off part of the piece, it really does help to make sure that everything stays properly aligned. I also explained to them that just because you can't see the whole shape, doesn't mean that they shouldn't add the additional details they were planning to add for their character - they just need to add what they can see. Once their pencil drawing was done (including adding details), students were asked to outline everything with a sharpie marker, and then add color with either crayons or color sticks. Many of my students decided to take their tessellation patterns and make each shape into its own character in a series (instead of just repeating the same thing over and over). Doing that really helped to keep more of my kids engaged in finishing their project because it made it a little more creative and a little less repetitive. If you are interested in this lesson, I have an incredibly awesome package posted up in my store. Seriously.. it has EVERYTHING. Included in the package: 1. Tessellation PowerPoint: An introduction to what tessellations are, a brief history, M.C. Escher (with a link to a interview he did), his influences, his artwork, and the three main types of transformations used in making tessellations – translation, rotation, and reflections. This PowerPoint includes animated slides, which make it easier for students to visualize the shape’s movements. 2. Color Your Own Worksheets: Grid-filled pages that students can demonstrate how to draw translation, rotation, and reflection tessellations on. 3. Practicing Transformations Worksheet: Worksheet asks students to reflect specific shapes over horizontal and vertical axes, translate shapes, and rotate shapes. 4. Step-by-Step Direction Sheets: Three step-by-step instruction sheets with visuals showing how to create stencils for all three transformations. These instructions also match up with the included videos, which also demonstrate how to create them step-by-step. 5. Practice Tessellation Sheet: This page includes the base stencil for all three transformations shown in the videos and step-by-step sheets. 6. Transformation Videos: 3 videos demonstrating how to create a reflection tessellation, translation tessellation, and rotation tessellation (including how to do a graphite transfer or light table/window transfer for complex details). Also available in my Teachers Pay Teachers store.
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The first project that I decided to do with my 4th graders was a tessellation project. On day one we looked at a powerpoint I put together that looked at the Dutch artist M.C. Escher (no -- not M.C. Usher kids -- M.C. Escher) ;) We began by looking at a variety of his work including "Drawing Hands" and "Relativity" (they LOVED these pieces) as well as his tessellation art. We defined a "tessellation" as being "a pattern created with a repeating shape that does not overlap and could go on forever." Then we talked about how there any many different types of tessellations, but that we could categorize some of them by how the shape in the pattern moves. The first one we looked at was a 'translation', then a 'rotation', and then a 'reflection.' To help students remember the names and to differentiate them from one another.. I came up with a little dance called the 'Tessellation Boogie'. To begin with, I have students stand up out of their chairs and repeat after me "This is the tessellation boogie!" (with a tooonnnnnnn of attitude and shoulder bobbing). Then we say "translation!" and slide to the right, "rotation!" and spin in a circle, and "reflection!" and put our hands together and the jazz hands them apart in the air. THEY LOVE IT. LOVE IT. LOVE IT. Everyday they came in they would beg me to lead them in the tessellation boogie! And two of my classes even performed it for their teachers when they came to pick them up! :) Afterwards, we look at a youtube clip of a variety of tessellations and I have the kids call out whether they think it's a translation, rotation, or reflection. ( http://www.youtube.com/watch?v=h2AWKgU0cN4&feature=related ) Then I tell students that we are going to begin making our tessellation art using the translation (slide) method! We begin with a 3"x3" piece of tagboard. Students are instructed to draw a simple freeform shape along ONE side of their square. The shape should reach at least to the middle of the paper and should not touch either corner of the paper. Once I check their shape, they cut it out and slide it to the opposite side of the paper. Then using a piece of tape, they attach it (with NO overlapping). **THIS IS WHERE THIS PROJECT CAN GO HORRIBLY AWRY! For some reason, no matter how many times I said it and demo'ed it, students STILL ended up doing this step wrong. They would flip their shape, or tape it on overlapped, or any other number of things. It drove me insane! :P The only way I found to improve student outcomes on this step was to be ridiculously involved and hover over each child's shoulder. Basically it ended up taking far longer than it should have.. but if the tessellation shape is made improperly, the rest of the project falls to shambles. Once everyone had their piece made, we practiced drawing it a couple times on a piece of scratch paper. This is where students also were given the opportunity to make their tessellation pieces a little more interesting by making it into a character (or monster). They rotated their piece around until they could visualize their monster and then added more detail. Once their character was designed, they started their final project on a piece of 9"x9" white drawing paper. We talked about how because the original tessellation shape paper was 3"x3" and the final paper was 9"x9", we could fit our shape 9 total times (although the last shape may be cut off). Students traced their shapes, added their monster's details.. and then we talked about color. Students used colored pencils and were encouraged to use a complementary color scheme to create contrast in their work! After coloring, they used fiber pens to outline their shapes. Overall, I was really proud of what my students created.. although the process was definitely a long and sometimes frustrating one! If you are interested in a more throughly explained lesson plan with visuals, teacher and student directions, demo videos, and an awesome PowerPoint, please check out my store! If you are interested in this lesson, I have an incredibly awesome package posted up in my store. Seriously.. it has EVERYTHING. Included in the package: 1. Tessellation PowerPoint: An introduction to what tessellations are, a brief history, M.C. Escher (with a link to a interview he did), his influences, his artwork, and the three main types of transformations used in making tessellations – translation, rotation, and reflections. This PowerPoint includes animated slides, which make it easier for students to visualize the shape’s movements. 2. Color Your Own Worksheets: Grid-filled pages that students can demonstrate how to draw translation, rotation, and reflection tessellations on. 3. Practicing Transformations Worksheet: Worksheet asks students to reflect specific shapes over horizontal and vertical axes, translate shapes, and rotate shapes. 4. Step-by-Step Direction Sheets: Three step-by-step instruction sheets with visuals showing how to create stencils for all three transformations. These instructions also match up with the included videos, which also demonstrate how to create them step-by-step. 5. Practice Tessellation Sheet: This page includes the base stencil for all three transformations shown in the videos and step-by-step sheets. 6. Transformation Videos: 3 videos demonstrating how to create a reflection tessellation, translation tessellation, and rotation tessellation (including how to do a graphite transfer or light table/window transfer for complex details). Also available in my Teachers Pay Teachers store.
