This could of course be incorrect, but I did a "G"oogle search on "G" and this particular site claims it stands for "G"eometry.
www.yorkrite.com...
"And like all symbols, they have a meaning.
The Square symbolizes things of the earth, and it also symbolizes honor, integrity, truthfulness, and the other ways we should relate to this world
and the people in it. The Compasses symbolize things of the spirit, and the importance of a well-developed spiritual life, and also the importance of
self-control -- of keeping ourselves within bounds. The G stands for Geometry, the science which the ancients believed most revealed the glory of God
and His works in the heavens, and it also stands for God, Who must be at the center of all our thoughts and of all our efforts.
The meanings of most of the other Masonic symbols are obvious. The gavel teaches the importance of self-control and self-discipline. The hourglass
teaches us that time is always passing, and we should not put off important decisions."
I don't know what this "Sacred Geometry" is that you are talking about, but people have always considered geometry to be sacred dating back to the
days of the Egyptians and the Greeks.
Many altruistic and paranormal effects have been attributed to geometric arrangements of patterns in our lives and the planets. Euclid first observed
the classic set of solid shapes and forms and pioneered Euclidian geometry.
Most of the modern symbols and geometric forms posted in the above diagrams are simply creative combinations of some of the more fundamental
geometrical shapes.
The Great Pyramids of Egypt are frequently used as a symbol, and even appear on our dollar bill. But this is not so much a conspiracy as it is simply
an artists rendition of a popular symbol. This symbol has been developed over time, and added to and modified, so that it takes on a mythical
context, the same way the Holy Grail does. Does the Holy Grail exist? Some think it does some do not.
The point of this is simply that of course there are various aspects of masonry, as there are in other areas of life, that are geometrical.
For some reason the Egyptian pyramids always seem to be a common thing ... but there are other cultures that also built pyramids. I would say from
the geometry of the pyramid on the US dollar, that it is more similar to the Mayan pyramids than it is to the Egyptian ones based on the width and
height ratio.
But that would not make sense because what you are claiming is that it perhaps pre-existed the formation of the US and therefore all masons are
controlling public policy by anonymously controlling our dollar bill artwork.
It's a funny thing, but I don't see any truth to it.
On the other hand, there are claims that certain cities and neighborhoods that are laid out with masonic symbolism in it, most notably Washington DC
and there is a town in Ohio whose name escapes me currently, but that was designed with the square and compass geometry in mind.
These again are not so much conspiracies as they are creative implementations by the architect.
An architect has a certain amount of artistic leeway in their craft. If the architect also happens to have interest in masonic symbolism, these
symbols might appear in their work either purposefully or accidentally. However, I still don't see any conspiracy in the geometry.