R. Sale > 09-02-2016, 09:16 PM
Not having much luck in opening this investigation to any new possibilities, rather the opposite. One of the few Google images mentioned Scottish heraldry, and the original Gorges family was not Scottish. So this would seem to be a second possible interpretation for a historical connection.
As it turns out here, in ancient Scottish heraldry:
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The reference is to the same Gorges family as above. There is no other historical example of gurges so far.
As to the differences between Gurges and Armille, they are obvious. Gurges is a whirlpool, that would typically in its early versions probably cover the entire shield - whether spiral or concentric. Armille is described as being based on arm rings or bracelets, and limited to two or three in a concentric arrangement. The use of little dashed line patterns outside the circles of the Dark Aries pattern is a clear sign that this pattern goes no further. Now to count the number of circles.
The unfinished appearance of the illustration over all introduces a significant degree of ambiguity here. A little bit of black coloration applied in the right places to the Dark Aries image would make a much closer match for the Albizi insignia. Is the illustration unfinished or is ambiguity the intended product? Just look at White Aries and the radial illusion.
The definition I found for the term 'armille' comes from a text on Florentine heraldry. And the term is not found in a more general reference like Parker's. So the armille terminology, pattern and Albizi example appear to have exclusively Florentine connections so far, but any additional, relevant info is rather sparse.