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It is still a visual representation. It requires light to travel through the camera lens in order to reproduce the effect. The initial light bounces off the TV, it travels to the camera, through the lens, is processed and displayed on the TV, which then illuminates and travels to the camera lens.
Repeat about 1 billion times per second, depending on the distance of camera to TV.
Also, adjusting the circles to line up would not be a perfect alignment. Even with the most precise measurement tool ever invented.
Infinity is unknowable.
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