Frank,
May I have a second try at answering your quiz?
I'm still not doing it for a nickel, though.
My new suggestion would be much the same set-up as for my first
suggestion, but this time I feel sure the dial face can be entirely
within the noon gap area (that is, assuming the noon gap is defined as
the area on the poleward side of the gnomon, and we're talking about a
standard horizontal dial but with a very wide gnomon...
This time, I suggest that the "underside" of the gnomon should be a
plane mirror. The upper side of the gnomon is not involved, so can be
decorated as you like.
The left and right edges of the rectangular underside of the gnomon act
as styles for an underslung dial that services azimuths -90 to 90, and
also act as styles for a reflecting dial that services the remaining
azimuths. All the hour lines are in the area between the styles and are
on the polar side of the gnomon. Some lines serve double duty. At least,
I think so - I can't get it entirely clear in my head but as I visualize
them, the same lines are applicable to both the reflected and underslung
dials.
When the sun is on the polar side of the dial, it is read using the edge
of the bright reflected area. When it's on the equator side, the dial is
read using the edge of the shadow.
I've posted a crude representation of what I mean at
http://www.gnomoni.ca/temp/quiz.png (northern hemisphere)
Steve
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