Hello Roger,

You wrote :
> My suggestion to calculate the hour lines is to treat the cylinder like a
> polygon with a series of flat vertical faces. Calculate the lines for each
> face the usual way as a series of vertical declining dials. Lay out the
> design for each facet and draw a smooth curve through the mid points for
> each face to approximate the hour angles.

Because a cylinder can be described mathematically it is rather easy to
calculate all the wanted points for a dial on the outside of a cylinder.
The cylinder also can be unfolded to a flat plane so a drawing can be made.

It depends on the dimensions of the tower and the length of the gnomon what
the result will be.

In the picture you see such a dial on a vertical cylinder with radius 250
units with a perpendicular gnomon of 25 units, pointing south, for latitude
45 degrees, reading local suntime.
The hourlines are curves, not straight.

Best wishes, Fer.

Fer J. de Vries
[EMAIL PROTECTED]
http://www.iae.nl/users/ferdv/
Eindhoven, Netherlands
lat.  51:30 N      long.  5:30 E





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