I'd really love to know if this has any (remote, or even indirect) connection to the very special & cool irrational (one might say 'magic') angles described in

I'd really love to know if this has any (remote, or even indirect) connection to the very special & cool irrational (one might say 'magic') angles described in this (Open Access, HTML!) paper: https://link.springer.com/article/10.1007/s00004-015-0285-1 https://link.springer.com/article/10.1007/s00004-015-0285-1 Vanderroost, Mike - Morphic Angles (2016) I wanna know this, among other reasons, because no other paper cites this one, nor does any other paper describe these angles, yet, when one plugs the closest IEEE single/double float numeric approximation of the absolute numeric value of these angles into Google Scholar (in quotes), one can find numerous, but not staggeringly numerous, occurrences of these in the mathematics, physics, & biology literature. All of these seem to so far have gone unidentified as linked to the rather generalized constructions from the above paper, because the obviousness of how to derive it seems somewhat unidirectional. I'd explain what I mean by that more specifically, but I actually struggle rather hard with finding the right words for it, so, for now I can only suggest trying it out yourself and seeing what you find! I'll give you the IEEE float approximations I have at hand, which only cover the 2D case derived from the golden ratio, and not the 3D case derived from the plastic number (personally, I'd prefer if we started calling it the radiant ratio, but I don't think that'll catch on). Note that I don't have have single and double float values for them at hand right now, and that if one wanted to thoroughly check the literature for unnoticed occurrences of this, one'd have to factor in: 1. the two possible representations of each type of float. I forgot the term, but, the 'short' version typically returned by most but not all software, and the 'long' version actually stored, which /some/ software actually outputs. Both get accepted as the same value, of course) 2. each form of float rounding behavior Anyway, here: golden morphic angles (see the paper for why there exist two, tl;dr: intervals): Circle, Ellipse: degrees: 76.34541 radians: 1.3324789 turns: 0.2120706 Ellipse, Parabola, Hyperbola: degrees: 126.869896 radians: 2.2142975 turns: 0.3524164 And just for completeness sake, the classic (not-generalizing-to-conic-sections) golden angle: degrees: 137.50777 radians: 2.3999631 turns: 0.38196602