In a kaleidoscope, three plane mirrors are typically arranged in the shape of an equilateral triangle (60° angles). The MAIN REASON it produces such beautiful symmetric patterns is:
AThe tube has a light bulb inside
BThe mirrors curve the light
CThe coloured pieces inside are also triangular
DMultiple reflections in the three mirrors at 60° create many symmetric images of the loose coloured pieces, generating new patterns each time the tube is turned
Answer & Solution
Correct answer: D. Multiple reflections in the three mirrors at 60° create many symmetric images of the loose coloured pieces, generating new patterns each time the tube is turned
With three flat mirrors arranged at 60° to each other (equilateral cross-section), each small change in the position of the coloured pieces is multiply reflected, producing a six-fold symmetric pattern. Each twist of the tube re-arranges the pieces, so the pattern is always new — that's why designers of wallpapers and fabrics use kaleidoscope-like inspiration.
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