About the Golden Ratio: The Golden Ratio can be illustrated within special dimensions of Sprials, Triangles and Rectangles where the ratio of the length of the short side to the long side is .618, was noted by ancient Greek architects as the most visually pleasing rectangle and its dimensions were used to construct buildings such as the Parthenon.:
Double pendulum comprising two rigid linkages of negligible mass with point masses attached to the ends of the linkages, confined to two dimensional rotational motion about their joints without any dissipation. Here the double pendulum is held at 90 degrees and then released. Initially the motion appears regular, but chaos soon sets in, with the end point of the pendulum eventually covering the whole space available to it for a given starting energy.
Dans une structure de 64 tétraèdres parfaitement imbriqués, il existe 2 octaves d’une géométrie en équilibre parfait nommée le cuboctaèdre, ce que Buckminster Fuller nomme vecteur à l'équilibre ou équilibre vectoriel (Cuboctaèdre) https://www.facebook.com/TheResonanceProject.FR