I have studied the pyramids for a long time.
In addition to being used to bury the pharaoh to ascend to the afterlife, numerous mastaba tombs were built near the pyramids to be used to bury royal family members and senior officials.
In late 2010, archaeologists announced the discovery of about 400 malnourished people, located near the Wall of the Crow.They date (using Carbon Dating) between 2,700 and 2,000 years ago, two millennia after the pyramids had been built, believed to be there because they had adesire to be near Giza.
The Golden Ratio is defined by the solution to (a + b)/ a = a/b , solving for b, where a is constant. For example, if a = 1, we get, b + 1 = 1/b, or b[SUP]2[/SUP] + b = 1 , so b = 1.618 approx. (solve by quad. Formula). The special number is referred to as "phi".
It can also be found from the Fibonacci Sequence: 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 ......
Go far out into the sequence and divide a number by its predecessor, such as 34/21 = 1.619. You'll get closer the farther you go.
A rectangle that obeys the Golden Ratio, such as the one above, is thought to have the most “pleasing” proportions, and this fact has been used down through the centuries in art, music, architecture, in horticulture, cosmology (golden spirals occur in galaxies) sea shells, and others too many to list.
If we were to measure the base of the pyramids, as shown above, we would find that half the base, multiplied by \/1.618¯¯ (sq. root of 1.618) would form a right triangle with hypotenuse of 1.618 times half the base. (as seen above)
It seems that the designers of the pyramids knew of the golden ratio and that it held religious significance. The Egyptians were aware that they were using the golden ratio, but they called it the "sacred ratio."
There is much about phi that is very interesting, but there is not enough space. Some believe that just as an artist leaves his initials on a painting, that God signed his “painting”, the earth, by leaving His signature in nature, perhaps using the golden ratio. I like to cherish the thought anyway.