Topic: Euclid

Geometry is presented as a tool for purifying the "inner eye" because geometric objects are both abstract and concrete. Copenhaver explains that by internalizing the rules of Euclid, a practitioner can perform complex mental simulations. He references Albert Einstein’s "Gedanken Experimentum" (thought experiments), such as imagining riding a beam of light, as a form of high-level magical work that leads to physical scientific breakthroughs like the theory of relativity.

The number 47 is identified as a Masonic reference to the 47th Proposition of Euclid (the Pythagorean theorem), signifying solar rulership. This is seen in Star Wars: The Force Awakens, where the sun-powered Starkiller Base is located in "Precinct 47." The film is described as a Gnostic tale featuring "oppressive Christians" (The First Order) versus "Valentinian Gnostics" (the Rebels).

Freeman Fly decodes corporate logos as signs of allegiance to the "Brotherhood," citing the Starbucks siren and the "canted square" used by Dell and Enron. The canted square is identified as a symbol for the Masonic circumambulation of an altar and the Egyptian god Horus. These designs often incorporate the 47th proposition of Euclid and other mathematical principles to signal occult meanings to the initiated.