Kaleidoskopes
Now we will work with three mirrors.
We consider triangular arrangements of three mirrors where every corner
angle is an integer divisor of 180°. There are only three possibilities for this, since the angle sum in a triangle must be 180°. They are
(60°, 60°, 60°),
(90°, 45°, 45°) and
(90°, 60°, 30°).
The Applets below demonstrate these kaleidoskopic patterns.
As usual, you can move Dr. Stickler.
(60°, 60°, 60°)
(90°, 45°, 45°)
(90°, 60°, 30°)
Here is how it appears in the real world: