Or if yr tired of the eurocentrism, how about: https://m.youtube.com/watch?v=siFBqH-LaQQ https://m.youtube.com/watch?v=mOMLRMfIYf0 —Brad
On Apr 27, 2020, at 5:54 AM, Brad Klee <bradklee@gmail.com> wrote:
For example: https://www.zirckelvndrichtscheyt.com/e-n-g-l-i-s-h-1/geometricized-heads/
I think that less is known about the later Wenzel Jamnitzer (and possibly others):
https://upload.wikimedia.org/wikipedia/commons/a/ac/Schreibzeug_%28Jamnitzer... https://artsandculture.google.com/asset/jewelry-box-probably-from-the-worksh... (the golden rectangles are not golden rectangles, but the filigree therein looks similar to: https://www.theguardian.com/science/alexs-adventures-in-numberland/2015/jan/... )
Jewelry boxes are a good target for incorporating vanity, or if religion is a better selling point, possibly try looking at Catholic tabernacles.
I feel the same about the idea of searching art for golden ratio as I do about searching iNaturalist for population curves of one particular shape. Aspect ratio is an extracted parameter. If your data set is large enough, you will hit 1.6 a few times, maybe enough to get a publication. If the audience is gullible, maybe they will buy the conclusion that golden ratio is important, but this is sleight of hand where *a lot* of other proportions have been ignored... Possibly even a worse bias than ballet, though, probably not.
If you want to get to the mathematical truth of what the golden ratio is, I would start with the character table of icosahedral symmetry, and then develop the real space matrix representation. After that, it is interesting to consider the generalization of Penrose's tiling to Danzer ABCK, see also:
https://demonstrations.wolfram.com/TransformationOfIcosahedralSolidsInZ15/
Then there is still the problem of "well it's not art". So what? Look what they did at Institute for Advanced study: https://www.ias.edu/idea-tags/concinnitas .
IAS is the house of the grand leaders and the trend setters, well in this case, they aren't setting the bar very high. When I made correlated figure 12 and Table IV for the "prelude" to my dissertation, at least I put some color into it! (There is also an Icosidodecahedron in there, V.G.1 page 28 & 29: https://github.com/bradklee/Dissertation/blob/master/Prelude/Prelude.pdf, see also: https://oeis.org/A318495)
--Brad
On Apr 26, 2020, at 11:34 AM, Henry Baker <hbaker1@pipeline.com> wrote: Yes, this has been done many, many times before...