The illusion of 3D: are we really existing in a 2D plane?

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The folds of my curtain suggest the nose and lips of a smiling face. The lines creating these suggestions straighten and continue up to the curtain rail. It occurred to me that it could be an analogy of an idea that we exist within 2D space but the illusion of light and shadow creates the suggestion of time and distance making us believe we exist in 3D space. And, if we do exist within a 2D plane, it might be like occupying space within a painting or a film. Images of something. Not quite real but almost.

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