The triangle is a particularly interesting symbol, not only does it play an important role in occult symbolism it has several layers of meaning that are hidden within it.
The equilateral triangle has been used to symbolise the four elements and in another sense the four suits in the tarot. The triangles with their points facing up are masculine and the triangles with the points facing down are feminine.
In the above picture we see that air and fire are pointing up while earth and water and pointing down. The reason for this is that earth and water are earthbound. While fire and air are above the surface of the earth. The triangles for air and fire point to the sky, father sky, while earth and water triangles are pointing to the ground, mother earth. In John Marco Allegro’s The end of the road, he describes why we have father sky and mother earth and not mother sky and father earth. The reason being that the ancients saw the spermatozoa (sperm) in the form of rain that impregnated the earth who would bear the fruits that had been seeded from the sky. From this perspective we can understand why the triangles point as they do.
An incomplete triangle has only three sides, we get the equation of 2 divided by 3 = 0.666…
This is also called a chevron.
This could symbolise an incomplete initiation to a certain order, or most likely a mortal. As the trinity of the three sided equilateral triangle symbolises perfection, as it is believed to be the first geometrical shape created by God. It is also a powerful number as it can be used in rhetoric three examples are given, three has been widely thought to be a magical number.
Now let us apply this knowledge to the set square and compass symbol of freemasonry.
To analyse symbols within logos and architecture one must look for the simple shapes and lines that are within a symbol. If we look above we see two chevrons over each other. One masculine and one feminine There is a G placed in between them. There is funnily enough three main reasons what the G stands for, For the layman – Geometry, for the initiated – God, and for the select few – Generative. Simply put sex, as this is the ultimate act of creation, the male and female overlapping is a symbol of sex. Interestingly enough we can apply this knowledge of triangle symbolism to gain a hidden understanding of what is meant.
Once you begin to see logos in this light it makes things very interesting. For example the Scientology logo.
This appears to have some homosexual implications. Perhaps I overstepped my boundaries in interpreting these logos, but I can’t understand why they would use these triangles in the way they do.
The star of David is another interesting symbol.
It has 6 triangles around a hexagon. Each triangle has 3 angles each of 60 degrees.
An equatorial triangle has three angles,
60, 60, and 60.
The angles within the hexagon are 120, if you fold each triangle into the hexagon you will find they fit perfectly.
The sacred space inside the 6 triangles is the seventh space. This is highly significant as 7 means divinity. Seven is seen throughout the bible as a number of completeness which humans are short of divinity by a single digit. Notice that the hexagram has three triangles pointing up with three pointing down. I can only speculate but I imagine this has something to do with a ritual of some kind that is only symbolised through the use of the hexagram. Which is made of two larger triangles male and female in the act of creation, that creation being the seventh space. The hexagon which as it is at the centre of all of the space means that during the act of sex we take part in the act of creation, we become like gods.
Medieval Number Symbolism by Vincent Foster Hopper
The End of the Road by John M. Allegro