Finding a satisfactory format for a square canvas

You will recall my explanation of how the 'golden mean' is constructed

I intend to use this golden rectangle as the basis for the major composition elements in my painting. First I will extend the diagonal of the original square to meet the extended vertical of the right side of the rectangle as shown in Fig 5

From this point of intersection I draw a square that will encompass and center the original square (here shaded) as in Fig 6. Thus I have established the proportions of my smaller square within the larger.

Fig 7 what is the proportion of x to y? Realizing the shaded triangle is a right angled triangle whose hypotenuse is the square root of the sum of the other two sides then ...

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