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Dear Dan, I am also intrigued in pinhole sundials, and reflection ones too. I 
tried to find the ratio between the wall (or floor) distance and the diameter 
of the sun image on it. Assuming an average sun apparent diameter of 0,5° and a 
unitary pinhole the ratio is about 114.59. If the ratio is smaller than 114 
then fuzziness increases, at the point of loosing the round shape and taking 
the shape of the mirror. When the ratio is higher the image is sharper. Gianni 
Ferrari suggested a value for the wall distance of 300-400 times the pinhole 
diameter, if I remember well. With such numbers the pinhole shape is ininfluent 
on the image on the wall, which is always round. The general level of 
illumination of the wall is also important for the final contrast of the light 
spot. Cheers Francesco FERRO MILONE Turin

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