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article
The graphic below shows this another way,
(note ,,,this shows the area of illumination and has nothing to do with
a focused image)

But see what starts to happen if I try larger apertures.
The sides of my iris hexagon are now being slightly covered by the side
and top of the frame.
When we open the aperture all the way see how things look now with
respect to the corners.
This is not good at all.