It seems to me that the indented dial-surface could serve a useful purpose,
by ensuring that the nodus's shadow falls on that dial-surface whenever the
Dyptich's flat horizontal surface has sunlight.
.
Maybe it's desired to make the indented dial-surface much larger than the
hemispherical indentation that could be accomodated by the thickness of the
horizontal plate of the Dyptich.
.
Of course not having the nodus at the center of the sphere would complicate
the marking of the lines on the indented spherical surface, explaining why
that isn't encountered more often.
.
It's related to stereographic lines, by having a projection-point not at
the center of the sphere.

It sounds like a great idea for a birdbath or bowl, but it might be too
distracting for a skateboard-park.
.
Michael Ossipoff
Aprilis 7th, 2020
16 Tu
Aries 19th


On Tue, Apr 7, 2020 at 7:07 AM Peter Mayer <[email protected]> wrote:

> Hi,
>   Dan-George Uza's recent post reminded me of a question I have. I was
> looking at Mark Lennox-Boyd's lovely *Sundials* the other day, especially
> photos of some of the beautiful Renaissance ivory diptychs, and realised
> that I didn't understand the principles behind the small scaphes on many
> dials. (Here's a Wikicommons photo of a Leonhard Miller dial).
> The Greek and Roman scaphes, like the one in Dan-George's photo, were
> hollow sections of either spheres or cones, with a gnomon at their centre.
> Their mode of operation seems quite straight-forward.
> But the scaphes in diptyches weren't like that. They appear to be tiny
> slices of much larger spheres. And the gnomons are, of course, far from the
> centre. The 'furniture' on several of them seems similar to stereographic
> projections. But, since instrument-makers then were well able to make
> astrolabes with stereographs, perhaps not.
> So: can someone point me to an article which discusses these small
> scaphes? Or, in the meantime, help me understand how and why they were
> used? Why don't we make them any more? Or: are there any contemporary
> examples, using, say, bowls, or bird-baths or skateboard parks?
> best wishes,
>
> Peter
>
> -----------
> Peter Mayer
> Department of Politics & International Relations (POLIR)
> School of Social Scienceshttp://www.arts.adelaide.edu.au/polis/
> The University of Adelaide, AUSTRALIA 5005
> Ph : +61 8 8313 5609
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