Thursday, February 20, 2020

First laser print: Symmetry group tiling

by Evelyn Sander 

In a foray beyond 3D printing, here is my first test of laser cutting math, cut at the Mason MixLab at Innovation Hall, designed in http://math.hws.edu/eck/js/symmetry/wallpaper.html and prepared as an svg file for laser cutting in Inkscape.


This was inspired by the work shown below by students from last semester Savannah Crawford, who designed it, and Katherine McCabe, who transferred the design to laser format and cut it in acrylic.  This is in my office, and it will soon hang in the department not in my office.

Since it's hard to read the text, I have included it below the photo. 



Tiling the Plane
These laser cut objects are designed by Savannah Crawford and cut by Katherine McCabe, students in Math 401 Fall 2019. The class was taught by Dr. Evelyn Sander with the assistance of Chloe Ham and Colin Chung.
There are 17 distinct symmetry groups which periodically tile the plane 
This dragonfly tiling has symmetry group 4*2. It has one point of rotational symmetry of order 4, and one point of intersecting 2 mirror lines. 


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