### Tilings

#### Posted by John Baez

Merry Christmas! Here are some more presents. I hope these are a bit easier to appreciate than my new paper on infinite-dimensional representations of 2-groups. Again, they’re all about *symmetry*. But this time you don’t need a math degree to enoy them. You just need to *look* at ‘em!

They’re pretty pictures of tilings, suitable for use as computer wallpaper. Check ‘em out.

Here’s an example with 5-fold quasisymmetry. It was created by Greg Egan:

Here’s one with 7-fold quasisymmetry, also created by Egan:

You can create your own, too, by going to Egan’s applet webpage and following the instructions there. I did this and tweaked the results a bit to make some that are slightly more dim-hued and mellow, so I can still find the icons on my computer screen.