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Horizontal
This is the type most people think of when they hear "sundial".
The dial plate is horizontal and the gnomon
projects upright from the dial plate.
Vertical
The vertical types, hung on walls, are commonly "direct south dials", meaning they face dew south. In a direct south dial the gnomon will be at an angle
equal to the co-latitude of the location, and the hour lines, if delineated for local time on location, will be symmetrical near the vertical noon line.
Equatorial sundials
This version has its the dial plate fixed in the plane
of the equator, with the gnomon perpendicular to the dial plate.
Polar discs
These have the dial plate fixed parallel with the earths axis.
The gnomon is parallel to the dial plate, typically the edge of a rectangular plate
fixed to the dial plate. The hour lines are parallel to the gnomon and thus to each other.
Analemmatic dials
This unusual type consists of a verticle gnomon and hours marked not by lines but by points falling on the circumference of an
ellipse. The gnomon has to be moved depending on the time of year so that the shadow falls on the correct point. The correct position of the gnomen for
any given month of the year is marked out along the north-south axis which crosses the center-point between the foci of the ellipse.
Reflected ceiling dials
A form of horizontal sundial, in which a mirror laid on a south-facing windowsill reflects the sun onto the ceiling.
The hour lines are drawn on the ceiling.
Plan for Spring!