The pyramids of Giza are perhaps the monument that has inspired more speculation than any other in history. Around the Great Pyramid, built for the pharaoh Khufu, whom the Greeks called Cheops, theories of every kind have flourished: hidden cosmic measurements, prophecies, lost technologies. Yet for anyone studying sacred geometry the most fruitful path is another: to start from what we know and ask what the form meant to those who built it.
A tomb and a symbol
The Great Pyramid belongs to the Fourth Dynasty and is generally dated to the twenty-sixth century BC. It was the king's tomb, but not only that: it was the heart of a funerary complex with temples, a processional causeway and smaller pyramids. Next to it stand the pyramids of his successors Khafre (Chephren) and Menkaure (Mycerinus).
For the Egyptians the pyramidal form had a precise religious value. It was linked to:
- the benben, the sacred pointed stone of Heliopolis, associated with the cult of the sun;
- the primordial mound, the first land to emerge from the waters of chaos at the beginning of the world, according to Egyptian creation myths;
- the rays of the sun descending to earth, to which the slope of the faces has often been compared.
The Pyramid Texts, inscribed in pyramids built a little later, describe the dead king ascending to the sky to join the sun and the stars. The pyramid was thus a ladder, or a ray turned to stone, between earth and heaven.
Alignment to the cardinal points
One of the most impressive facts about the Great Pyramid is the precision with which its sides are aligned to the four cardinal points: the error is a small fraction of a degree. We do not know for certain how the Egyptians achieved this. Scholars have proposed several methods:
- observing circumpolar stars rotating around the celestial pole;
- observing the rising and setting of a star and bisecting the angle;
- solar methods, based on the shadow of a gnomon.
Whatever the technique, the intention is clear: to align the king's eternal dwelling with the order of the sky. In this sense the pyramid is an extreme example of sacred orientation.
The seked: how the Egyptians measured slope
To understand the pyramid's geometry we must set aside angles in degrees, which the Egyptians did not use. The Rhind papyrus, an Egyptian mathematical text, shows that slope was expressed by the seked: how many palms one moves horizontally for every cubit of height. The royal cubit was divided into seven palms.
In the Great Pyramid the seked corresponds to about five and a half palms per cubit. Translated into our terms, the face has an inclination of about 52 degrees. This simple practical choice has a curious consequence, which has fuelled much speculation.
Pi and the golden ratio
One often reads that the Great Pyramid «contains» pi, because the ratio between the perimeter of the base and the height is very close to twice π. This is true, but the explanation is simpler than many believe.
| Element | Value with a seked of 5.5 palms |
|---|---|
| Half base | 5.5 parts |
| Height | 7 parts |
| Perimeter | 44 parts |
| Perimeter divided by height | 44/7, about 6.286 |
| Twice π | about 6.283 |
The ratio 44/7 equals twice 22/7, a very common approximation of π. The coincidence therefore arises from the use of simple whole numbers, not necessarily from a wish to encode π. Something similar holds for the golden ratio, which also appears approximately in some of the pyramid's ratios: slopes close to 52 degrees produce more than one numerical coincidence.
This takes nothing away from the greatness of the monument. It does show, however, that the true sacred geometry of the Egyptians was made of whole measures, simple ratios and great precision of execution.
Modern theories
In recent decades evocative hypotheses have spread, such as the idea that the three pyramids reproduce the belt of the constellation Orion. Egyptologists do not accept this theory, which rests on selective correspondences and finds no support in Egyptian texts. It is right to know it, but presenting it as fact would be incorrect.
Better founded is the fact that the Pyramid Texts often speak of the imperishable stars, the circumpolar ones that never set, as the destination of the royal soul. Some internal shafts of the Great Pyramid have been linked to this idea, but here too interpretations remain debated.
What the pyramid teaches
The pyramid joins the square of the base, linked to the earth and the four directions, with the point of the apex, reaching upwards. From the many to the one, from earth to heaven: it is a pattern found in many traditions. Studio Esoterico Cornelio suggests contemplating it in this way, as an image of ordered ascent, without needing to attribute to it secrets the monument does not declare.
In short
- The Great Pyramid was built for Khufu in the Fourth Dynasty, generally dated to the twenty-sixth century BC.
- Its form was linked to the benben, the primordial mound and the sun's ray.
- Its sides are aligned to the cardinal points with an error of a small fraction of a degree.
- Slope was expressed by the seked; a seked of about 5.5 palms explains the closeness to pi.
- The Orion correlation is a modern hypothesis not accepted by Egyptologists.
