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!