the Kepler's cite “division of a line into extreme and mean ratio” it was thus overcome,
as not only linear.
In deed a golden expansion map
is defined by a sequence of concentric waves, whose diameters are regulated by increase of the golden ratio j^{ power}
– tap the figure if HTML.

The next step discloses one still unknown
golden spiral, which works out through this plan, ie. crossing every
circle at the same [zero] degree.
Our Great Triangle handles all these and much more, like a gate between the plain formulas and the revolving energy!