diff --git a/bin/build-wallpaper b/bin/build-wallpaper
index ec0f75f..5b0afc8 100755
--- a/bin/build-wallpaper
+++ b/bin/build-wallpaper
@@ -55,8 +55,10 @@ for base, _, files in os.walk(os.path.join(options.directory)):
                                                     '.jpeg',
                                                     '.png'):
             images.append(os.path.join(base, i))
-images = random.sample(images, len(screens))
+images = random.sample(images, len(screens) + 3)
 images = [Image.open(image) for image in images]
+images.sort(key=lambda im: -im.size[0]*im.size[1])
+images = images[:len(screens)]
 
 # If more than one screen and one image has the right aspect ratio,
 # use it.