Kaleidoscope Symmetry Physics

Many designs to choose from- all with precision aligned high quality front surface mirrors: 
From Etsy store Colorado Scopes : BUY NOW Precision Teleidoscopes 

Fine art kaleidoscopes avaibable here:
From Etsy: BUY NOW: Fine Art Kaleidoscopes

Get a Gyrobi here: 
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Gyrobi Kinetic Toy 

Kaleidoscope Symmetry Physics: Two adjacent mirrors form the repeating image of a kaleidoscope, but the shape of the image is determined by the angle between the mirrors. This principle is demonstrated with three different symmetrical patterns using this beautiful set of precision teleidoscopes- angles of 36° (blue tube), 30° (green tube), and 22.5° (red tube), creating mandala stars with 5, 6, and 8 points. The angle for any symmetric star pattern of n points is just 180°/n. A teleidoscope is a kaleidoscope but with a lens on the end, such that the kaleidoscopic image is formed by whatever is put in front of it. Here the complex motion of a Gyrobi toy is used as the observation object.