The square and compass are not abstract symbols — they were real working tools, used by operative stonemasons to build the cathedrals of medieval Europe. The square (an L-shaped instrument) was used to verify right angles — to ensure that stones were true, that corners met exactly at 90°, that the physical structure of a building conformed to the geometry of its design. The compass (the drafting instrument with two legs joined at a pivot) was used to draw circles and arcs, to measure distances and to maintain proportional relationships across a design. Together, they were the master tools — the instruments that ensured a building's geometry was sound.
When operative masonry gave way to speculative masonry — a fraternal and philosophical movement that adopted the tools and vocabulary of stonemasonry as metaphor — these physical instruments became symbolic. The question the speculative Mason asks is: what do these tools mean when applied not to stone but to the human being? What does it mean to square one's actions? What does it mean to compass one's desires? The physical tools became a language for describing the work of self-cultivation.
The letter G placed between the two instruments in the most common version of the symbol adds a third element whose meaning is deliberately multilayered. To the uninitiated, it represents Geometry — the master science on which architecture depends. To the initiate, it represents God — the Grand Architect of the Universe. To those who have gone deeper, it represents Gnosis — the direct experiential knowledge of divine reality that the Masonic degrees are designed to cultivate. All three readings are simultaneously correct; none is complete alone.