Mirror systems
The interior of a kaleidoscope can consist of 2,3,4, or more mirrors that run the full-length of the inside of the scope. The angles of the mirrors will determine the number of reflections viewed. (Smaller angle = More reflections of object viewed.)

The number of reflections can be determined by the following equation:
No. of reflections = (360/angle between mirrors) - 1

Example (for a two-mirror system): A ten-degree angle, divided into 360 degrees (the number of degrees in a circle), gives you 35 reflections or an 18-point star (since 18 of the reflections will be reversed from the original. A 45-degree angle divided into 360 degrees gives you 7 reflections or a 4-point star.
2-Mirror System
3-Mirror System
4-Mirror System
Types of Kaleidoscopes
Making a Kaleidoscope
Kaleidoscope Images
Interesting trivia