Kaleidoscope by Angle

This kaleidoscope works by setting the mirrors to make a certain angle. The mirrors (reflecting lines) of the kaleidoscope are set on the edges of one piece and then the reflections make the other pieces.

Not all angles make a true kaleidoscope looking image. Which angles make a kaleidoscope? Why those angles?

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All the images in this sketch are made by reflections, but when it makes a kaleidoscope image, the image also has rotational symmetry. Why does that happen?

What makes a kaleidoscope image look good to you? Design an image that is cool to you. Describe what you like about it.

Posted at mathhombre.blogspot.com.

John Golden, Created with GeoGebra