Image Credit: Endre Balogh
(Reality Sandwich) At the very earliest appearance of human civilization we observe the presence and importance of geometry. It is clearly evident that geometry was comprehended and utilized by the ancient Master Builders, who, laboring at the dawn of civilization some four and one half millennia ago, bestowed upon the world such masterworks as the megalithic structures of ancient Europe, the Pyramids and temples of Pharaonic Egypt and the stepped Ziggurats of Sumeria. That geometry continued to be employed throughout the centuries from those earliest times until times historically recent is also clearly evident. That it was made use of by cultures far-flung about the globe is evident as well, finding expression in China, Central and South America, in pre-Columbian North America amongst Native Americans, in Africa, SE Asia and Indonesia, Rome and of course in classical Greece and in Europe, from the Megalithic era some 4000 years ago, as stated, and again some 3000 years later, magnificently expressed during the Gothic era of cathedral building.
Geometry is especially associated with Classical Greece and such illustrious figures as Pythagoras, Plato and Euclid, who wrote the first actual textbook on the subject, the aforementioned Elements. Geometry has also been held in particular reverence and high esteem by the ancient order of Freemasons, which, of course, hearkens back to the great Cathedral Building era of the 12th through the 14th centuries, from whom modern Masons derive their pedigree.
From the foregoing it should be obvious that geometry was, and is, closely associated with Architecture, that great manuscript of the human race, which provided the first and primary vehicle for the human employment of geometry. That it is closely associated with Art, Music and Handicraft is obvious as well to the student of the history of these subjects. Ultimately, it must be appreciated that it was apparent to archaic peoples, as it is becoming increasingly apparent to contemporary students of the subject, that geometry is intrinsic to the very order of Nature itself, both biological and cosmic, and, now, thanks to scientific inquiry, the realization dawns that geometry lies at the basis of the molecular and atomic levels of creation.