Tessellations

Exciting new development: Emily Grosvenor, author of a new children's book on tiling called Tessalation, is starting World Tessellation Day, June 17th Escher's birthday.

I have an old fashioned webpage with these tessellation resources, and I've decided that I'm still using them enough that I should keep them up to date - which means moving them over to the blog. If I was being really retro, I'd try to find one of those old-timey "Under Construction" gifs.

I like teaching tessellations at all levels of math, and have done so from 2nd grade up through graduate level math classes. Quasiperiodic tilings (aka Penrose tilings) were even a part of my thesis. While my interests are now more in math education, tilings still hold a deep fascination for me. For younger students it is a deep application of all four Euclidean motions, and for older students the richness provides many opportunities for analysis, problem solving and pattern creation/detection. The following resources are all ones that I have found useful in one way or another. Please don't hesitate to contact me with questions, suggested resources or any mistakes or bad links.

I have a few tessellation posts on this blog and more tessellations on the tumblr. My favorite GeoGebra tessellations I've made: Pythagorean tiling, Escherized Hexagon tiling, and Rotation of base kite tiles.  (More below in GeoGebra/Blogs section.) I have a separate Google doc of Islamic Tiling resources, a handout I give students when doing tile alterations a la Escher, and a memoir of making a tessellation.


History  
Arabic patterns:
M. C. Escher:

Lessons  
Elementary:
Middle:

High School and above:
Other  
Examples:
Regolo Bizzi: handmade tessellations in Escher style, geometric, Islamic patterns and more.
Theory  
GeoGebra/Blogs
 In reverse chronological order, mostly. This GeoGebraBook of tessellations collects many of these.
Stranger tessellations
Other People's GeoGebra
Apps/Interactives

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