December 24, 2008
Here are some pretty pictures of tilings, suitable for computer
wallpaper — or just gawking at.
They were made by Eric Broug
and Greg Egan.
I reduced the brightness and saturation of their images,
because while bright and colorful pictures are beautiful, they can be
visually distracting as computer wallpaper: it becomes hard to spot
ones icons! So, some of the more drab, dull-looking patterns below may be
best as a background on your computer screen.
Here are two traditional Islamic tilings rendered
by Eric Broug,
and made freely available on his beautiful website,
though I no longer see them there.
You should use the "tiled" setting if you want to try
these as computer wallpaper.
This one makes a hexagonal pattern:
This one makes an octagonal pattern:
These are quasiperiodic tilings generated by Greg Egan's
These applets make beautiful movies of quasiperiodic
tilings. It's easy to do screenshots and create your own
wallpaper, so these are just a few samples of what's possible.
I used Irfanview to modify the images in various ways.
Here you'll see thumbnails; click on them to get bigger images.
You should use the "stretch" setting if you want to
try these as computer wallpaper. If your monitor has very different
proportions than mine, the result may not be pretty.
The following are made using the
applet unless otherwise specified.
Feel free to use them in your own art! Please, however, credit
Greg Egan if you do.
These have 5-fold quasisymmetry:
Here are two with 5-fold quasisymmetry made by Egan's
These have 7-fold quasisymmetry:
Here's one with 8-fold quasisymmetry:
Here's one with 8-fold quasisymmetry made by Egan's
These have 9-fold quasisymmetry:
Here's one with 14-fold quasisymmetry, made by Egan's
© 2008 John Baez