The solution is that the dodecahedron was not made public. The dodecahedron became thus the basis for obtaining all other bodies and was not without reason for Plato the symbol of the all all-embracing Universe. A is to B as B is to C To get a golden rectangle, you simply turn the larger segment of the line into a square.
The short answer to this accusation is that the pentagram is not mentioned in any Masonic ritual or lecture and is not contained within the lessons or teachings of Freemasonry. Below is a quote that is years old. The practical applications alone are worthy of the high esteem that Masonry affords it.
The ascending line finally connects back up with the Osirian line. Regardless, it is attributed to Pythagoras and two hundred years later Euclid compiled his "Elements of Mathematics" where this particular 47Th proposition is found in Book One.
It contains drawings made by Leonardo da Vinci of the 5 Platonic solids. This line is given the value of 3. These are of course the four Ancients. The drawing below illustrates this.
The ratio seems to be settling down to a particular value, which we call the golden ratio or the golden number. Due to the complexity of the subject to cover fully would take many hours of discussion. The pentagram, so easily seen in the rose, was the secret shibboleth of the Pythagoreans; and the Celtic Druids adorned their priestly robes with it.
The symbol was found accompanying signs relating to the foundation of written language. In this short talk I have tried to show the interrelationship that exists between freemasonry and geometry, the relationship of the Golden section, Golden mean, or Golden proportion to geometry and masonry.
The Fibonacci series is formed by adding the latest two numbers to get the next one, starting from 0 and 1 0 1 --the series starts like this.
The first degree tracing board lecture makes many references to geometry and the implements to practice geometry. Vitruvius, a proponent of the Sacred Geometry of Pythagoras, designed temples based on the proportions of the human body, believing them to be perfect.
The address to the Immediate Past Master and the depiction on his jewel refer to the 47Th proposition of Euclid. The 47th problem has been referred to as "the foundation of Freemasonry.Geometry and Masonry: Sacred Geometry by killarney10mile.com Harvey Lovewell - PS Review of Freemasonry.Download