I have tried to use my Excel sheet to make calculation on various angles of the golden rectangle, which is 1 by phi. I have found out that by extending the shorter side from 1 to phi, a phi-by-phi square is formed, and the new diagonal line on the extended area (1/phi by phi) is SQRT(3) and forms tangent 2.61803399.. on the corner, as compared with tangent 1.61803399.. on the corner of the original rectangle.
As there seems to be no naming of this, I would like to call this Golden Square.
Excel Trigonometry
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