Resources

A blog post about Miras (see-through plexiglas mirrors).

Robert Hasson's matrices site at the College of San Mateo. (No longer works for me, but try it.)

My vacation blog post and photos, mostly of wallpaper symmetry at the Alhambra in Spain.

Geometry Labs



Some of the symmetry work is from Section 5 of my book Geometry Labs. The book includes many more labs, plus answers and abundant teacher notes about all the labs. It is available for free download on my Web site.

Henri Picciotto’s Math Education Page


Some of the work will be based on material that is available elsewhere on my Web site. Relevant pages for additional materials and ideas:
On some of those topics, there are many more documents available on the site than you have in your handout. You'll also find teacher notes, some answers / solutions, and pedagogical / philosophical comments. 

More on Construction

Many teachers enthusiastically recommend this site: http://euclidthegame.org/Level1.html. It guides students step by step to more and more complicated constructions, and gradually gives them more and more tools. It is simultaneously an introduction to construction, and an introduction to GeoGebra. I have not used it.


Science vs. Magic (?) offers a fantastic Web applet to do pure compass and straightedge construction without the challenges of physical compasses and straightedges, and without having to learn GeoGebra. It provides specific construction goals, which are fun and challenging, but it can't be used to teach, as you have no control over what is given. The puzzles always start with two given points, and that's it. There is no way to create your own points, so even something as simple as "bisect an angle" is not possible. However it would be great for a math club.

Transformational Geometry 

by Richard G. Brown

Out of print, but probably findable on the Web. Solid introduction to the topic, based on pre-Common Core approaches.

Handbook of Regular Patterns

An Introduction to Symmetry in Two Dimensions
by Peter S. Stevens  

An amazing multicultural resource from MIT Press, with an accessible presentation of some of the math underlying symmetry and tiling, and hundreds of black and white images from all over the world.