Almost a year ago, I wrote a Random Wallpaper Switcher for Gnome3. Given a directory filled with pictures, every once in a while it randomly chooses a new picture from the target directory and puts it up as Gnome3 desktop wallpaper. You can specify that "once in a while" means every XX seconds, or some random time between XX and YY seconds. And it cleans up after itself when you log off, meaning that the next time you log in you won't have multiple switchers running.
It works pretty well, IMHO, but it does have one small aesthetic flaw: If the picture doesn't fill the desktop, and most of mine don't, the color of the underlying background might be far off from the color of the picture, possibly creating a color clash. Annoying.
Then along came Penguin Pete, who showed me how to use ImageMagick to find the
average color of a picture as part of his script for a wallpaper randomizer for Fluxbox. Pete then went on to merge his background with the picture, but in Gnome3 you don't have to do that, as you can set the primary background color directly. A look at man gsettings shows that you can change the background color to, say, solid purple, with the command
$ gsettings set org.gnome.desktop.background primary-color "#FF00FF"
And the rest is easy.
The script is really too long to print here, so, as before, the entire script is available on my homegrown software page. If you don't like the background changing part, I've indicated the lines that need to be eliminated to make the code work without changing the background.