Let the students know what it is they will be doing and learning today. The lesson can begin by introducing the Tessellation applet to introduce students to the. In pairs, let the children explore the tessellations on the Tessellation Town to create tessellations, using the Shodor Educational Foundation Tessellate!. Alternating Tessellations by Quipitory on deviantART Tessellation Patterns, Clay Stamps, Science Art, .. Let’s Draw ESCHER-STYLE Coloring Pages.

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As long as it is educational, and a gif, it is fine. But please read the rules before you post, in order to help the mod team moderate, while also making this a better place to post. You want this sub to have more content? No sound, videos or pictures.

The preferred sites for gifs to be hosted on are imgur or gyfcat. These lrts reliable sources and thus we would love if you hosted your gifs using these sites. Provide source if there letss one. We won’t go hunting you down, but at least be considerate of the creator. Your title must be informative of what is going on in the gif, instead of the good ole “Look at this gem” or “Just a wheel”.

They can be funny, but just consider this. Any tessekate that has been submitted in the past 3 months or is in the top of sodor time cannot be reposted and will be removed. Please report rule breaking posts. What is a tessellation? There used to be a program for Windows that would help you make tessellations.

You basically started off with a shape and it would do these transitions for you. Does anybody know what I’m talking about?

They had a mac version on the computers at school when I was in 4th grade. Then they upgraded the machines and I had to learn to talk to girls. But the new machines had Sim City and the girls had puberty so it all worked out. But yeah I know what you’re talking about. We used to play with Kid Pix on Macs when I was about that age, but I don’t remember it being able to do tessellations.

Maybe there was some other software that did just tessellations? It was either this or something like it: There’s nothing manic about Tesselations, however I now understand the name to be a pun, so that’s good. Yeah, it was definitely Tesselmania.

Interactivate: Tessellations: Geometry and Symmetry

I don’t know what time frame you guys are from but Oregon Trail was my shit when I was around that age. I remember the interface being a lot cooler 25 years ago What kind of fantasy school gives you sim city on their computers. We were stuck with stick figure pivot animator. I think there was a guy in the tech department who was on our side like, “yeah it’s a city planning simulator” and the higher ups were like “sounds boring, PERFECT. The program you need for speaking to girls is called Real World.


Somebody posted it above. The had these on Macs wayyyy back in the day when I was a young I’m sure it works differently and I know it can do incredibly more than tessellations, but my geometry teacher showed us the program geogebra for this. Hell, even if you try to craft a tinfoil hat the hat will likely be in the shape of a triangle! You’re over inflating it for the Triangle’s side. They pay the majority of delivery fees for Hexagon. Infinitely small, lest you have an n-sided polygon instead of a circle.

At which point they’re just lines. But I think it’s saying the fish are just either triangles hexagons or squares translated using the rules given.

There are 5 lattice types in 2D that are closed under translation. These are the Bravais lattices. A lattice is not a shape, but it is a repeating grid and on each point you can place a basis or image in this case. You can put what ever image you want on the lattice points.

If you look at the symmetry of the hole pattern there are only 17 distinct patterns in 2D. These patterns are called wallpaper groups in 2D and space groups in 3D and up I guess, mathematicians can do anything.

In 3D there are a little more possible structures You can find more here https: It was for a tessellation course I did at a school. I used the word ‘shapes’ instead of ‘regular polygons’ to make it easier for the younger children to understand. Although there are 17 wallpaper groups, tessellations can also be categorised by Heesch Tiles.

Escher also made his own categorisation system of course! You can reference all of them on this handy sheet http: What the other guy said includes all symmetry groups that tesselates, which is a different thing, and there are more of them. I wrote a full explanation at the top of this thread. You’re right, essentially this was designed for young children and not crystallographers so the language I have used won’t stand up in a court of law You don’t have to start with a basic shape, but you do have to conform your complex shape to the 3 rules.

The gif uses the basic shapes for demonstration purposes. You can certainly make hexagons that don’t tessellate. But regular hexagons are one of the basic shapes that do. You can always put two triangles of the same size and shape together to make a parallelogram, and a parallelogram is just a rectangle with a translation like in the gif.


You can come up with every shape you want, if you whodor the shldor on every lattice point of course. It’s like, I said that the sky is blue, and you said “Nuh uh, a rose is red”. One of my good friends is in Graphic Design.

Tessellations: Geometry and Symmetry

It looks easy but damn is it difficult. Good luck with everything! It’s not really THAT hard. It just takes a long time to know everything as far lers paper types, different types of printing, and fixing issues to work correctly, etc. Pretty much anything can be reduced to “not that hard” so long as you apply the rule “it just takes a long time”. Escher’s symmetry prints and transformation prints.

This video is a perfect example of how to not make a video. Information tesselste the video? Layout of the video? An Eternal Golden Braid” by Hofstadter.

Lete deeper than I realized, and highly recommended! Even without the book, seeing one of the prints in person and realising that they were made by carving wood and then staining it with ink is enough to impress.

The insane creativity and mathematical genius aside. It said something like Fish in the slide, bullshit. That’s an Escher copy with slightly different fish. Ltes the grand master always and forever. You can’t talk about these patterns without mentioning Escher.

Hey TheGreenBastard2 – I made the video. Escher is totally my inspiration. I made the original video with Escher examples and the Escher Company got in touch and made me remove them. So I used my own. All of the tessellations I make tesselte completely from scratch.

The fish is made from Heesch tile I don’t recall any Escher fish tessellations which use this symmetry, but would be interested to know if there were.

I guess I’m just a bit sour that it didn’t mention Escher. He’s a huge inspiration for me and when I see something so similar without a shout out it hit the wrong chord. It makes sense now that they asked you to remove his name.


Kinda lame on their behalf. But either way, the video is great to teach people about tessellation and that’s a good thing.

Apologies for shit talking. I took a teasellation and patterning class tesseoate college. It was my favorite, and counted as a math elective. One of the largest exhibitions of his work. It was absolutely incredible. Several of his woodblock tessellations were featured.

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