Dear Frank,
I love the solution that Maciej pointed out in the Troschel dial (MHS 70006) 
and want to add that I have seen on this also on polyhedral dials.  

In addition, Harvard has a double-string-gnomon inclining dial by Jacques Le 
Maire (CHSI 7416) 
(http://waywiser.fas.harvard.edu/objects/12220/inclining-doublestringgnomon-sundial?ctx=c7b5cc99-4010-4ef5-a0ef-a842c4c635e4&idx=53)
 which is like the Troschel but portable for multiple latitudes.

Happy New Year,
Sara

Sara J. Schechner
Altazimuth Arts
42°36'N   71° 22'W
West Newton, MA 02465
http://www.altazimutharts.com/

Sara J. Schechner, Ph.D. 
David P. Wheatland Curator of the Collection of Historical Scientific 
Instruments
Lecturer on the History of Science
Department of the History of Science, Harvard University
Science Center 251c, 1 Oxford Street, Cambridge, MA 02138
Tel: 617-496-9542   |   Fax: 617-495-3344 
sche...@fas.harvard.edu |@SaraSchechner
http://scholar.harvard.edu/saraschechner
http://chsi.harvard.edu/


-----Original Message-----
From: sundial <sundial-boun...@uni-koeln.de> On Behalf Of Frank King
Sent: Tuesday, January 01, 2019 10:42 AM
To: ml...@interia.pl; john.f...@keme.co.uk; steve.lelievre.can...@gmail.com
Cc: sundial@uni-koeln.de
Subject: Re: Gnomon Gap Puzzle

Dear Maciej, John and Steve

Congratulations on coming up with several ideas.  I should have asked your 
advice several months ago!

Although your ideas seem wildly different, they all share elements of the 
actual design which I shall reveal in due course.

Maciej: I am most grateful to you for drawing my attention to the Hans Troschel 
diptych dial.
I didn't know of this before and its design is certainly (almost) confined by 
the noon gap.
This is getting very close to my thoughts.

John: you ask...

> Could you be designing a vertical dial for an interior south facing 
> wall with a 'Velux'
> type window (or any rectangular glassed-in
> section) in the sloping ceiling above?

This is less like my design but, although on a different scale, it has features 
in common with the Hans Troschel dial so it, too, is on the right lines.

> Alternatively could one use an unsupported sloping porch roof as an 
> underslung gnomon...

That would certainly work but I suspect there would be a temptation to include 
markings outside the gnomon gap.

> But it would not be very weatherproof with no sides to the roof!

Well, let's call it a sloping sun-shade such as was once common on shop fronts 
in summer.
You could decorate the shop front with the dial markings.  In British latitudes 
the shade would be very steeply sloping.  The idea would be fine in 
sub-tropical latitudes which have more need of shade!

Steve: I must study your arrangement in more detail but, at first reading, you 
have a good scheme which again shares elements of the design I came up with!  
You will certainly be surprised when you see the space that I had to deal with 
:-)

I might just add that my design can be
implemented for a total outlay of no more than one US dime!  Not all sundials 
are mega-expensive!!

More in due course!

Frank

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