What do I mean here with that? Well, drawing a pentagon may appear so simple but it becomes complex to follow a regular path; methods of any kind have been thought. In such a context, it is compulsory to apply the Golden ratio with only straightedge and compass, drawing a composed and complete figure which will express the above idea geometrically, developing the concave and convex pentagon at a time by a sequence like the following.Rather than beginning with a circle, as it looks to be the general practice, we shall continue from the square to obtain the line AD with lenght 1.618, as in the previous figure. 
Please, note that this spiral is just a worldly version of the golden spiral which I had to deepen after my essay on the true π three years later, developing the actual golden spiral[s] and
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