Finally we can check the more evident relations of the construct with the golden circles' map, radii Φ^{0}, Φ^{1}, Φ^{2}, Φ^{3} (formerly named c1, c2, c3, c4), once again extraordinary.
new afterthought 2023
After having run through my new piday domain, to disclose a still buried π, then climbed some secrets of the golden spiral, up to recognize an even more unexpected meaning of the small golden triangle (the great one was already defined as such), I can't help but exalt with the best construction ever, the absolute relation of the pentagon with the golden ratio, representing it at the purest source of its geometric formation.
That's it, where the small triangle looks like a three sides synthesis of the golden rectangle, binding its two long sides by their arcs of circle, and projecting the [remaining] base twice through its arcs, up to cross the triangle sides, to draw a line through, and intersect the same at the two last pentagon vertices; not necessary though, arc intersections are sufficient!
