I hope this is not off topic, but the discussion brought to mind a question 
that I have. 

Will a south facing vertical dial split into 15 degrees using a polar gnomon 
divide the day in the exact same way as an ancient Greek or roman sundial such 
as a haemuspherium with a vertical or horizontal gnomon?

If it does divide the day in the same fashion, as I think it does,  how great 
is the difference between the church dials that used a horizontal gnomon or if 
they would use a polar gnomon?

PS Does anyone know the formula for breaking up the day on such a sundial with 
a horizontal gnomon?

Thanks,
Noam
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