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Using experiments and computer simulations we show that video feedback with a pixel-based monitor can lead to self-similar stationary patterns. We found an astonishing variety of such patterns, which includes many 'classic fractals' such as the Sierpinski gasket and the von Koch snowflake. An important, previously unidentified parameter is the position of the centre of the camera zoom with respect to the individual pixels on the screen. This article is a detailed account of work recently published by the present authors.