This is how you see with the teleidoscope:
This is the finished teleidoscope. You can see the lens here, a simple transparent glass ball.
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In addition, you will need a spare piece of mirror (depending on the size of the teleidoscope, around 15x10 cms).
Finally obtain the glass ball. It looks opaque when it is close to you, but at around 20 cms (1 foot) it converges light.
Glasscutter & lubricant (cooking oil)
Glass (three 15x2cm pieces)
Transparent glass ball
Paper or duct tape
In the picture, you can see more materials you may need, such as glue and cardboard tubes.
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If I ever make a larger one (I think our glass ball was 1" diameter), I'd like to try a hexagonal mirror pattern - I've seen a few around, and they look even more incredible.
When I was a child, I dit some kaleidoscopes, but never before I had heard about teleidoscopes.
Your cat is very beautiful, too.