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.