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Doesn't the size of the spot from a pinhole camera depend on how far
away from the aperture you place the receiver? I would guess that the
clearest image would occur somewhere near the point where the
"umbral" rays cross. If you take the image size at that point to be
the diameter of the penumbra, it will necessarily be larger than the
aperture in the case where the rays are slightly converging, as they
are from the sun.