Pyramid close up. Pyramid of Pharaoh Cheops and the history of the Egyptian pyramids. The largest pyramid

Age of the pyramid

Architect Great Pyramid believed to be Hemiun, vizier and nephew of Cheops. He also bore the title "Manager of all Pharaoh's construction projects." It is assumed that the construction, which lasted twenty years (during the reign of Cheops), ended around 2540 BC. e. .

Existing methods for dating the time when construction of the pyramid began are divided into historical, astronomical and radiocarbon. In Egypt, the date for the start of construction of the Cheops Pyramid was officially established (2009) and celebrated - August 23, 2560 BC. e. This date was obtained using the astronomical method of Kate Spence (University of Cambridge). However, this method and the dates obtained with it have been criticized by many Egyptologists. Dates according to other dating methods: 2720 BC. e. (Stephen Hack, University of Nebraska), 2577 BC. e. (Juan Antonio Belmonte, University of Astrophysics in Canaris) and 2708 BC. e. (Pollux, Bauman University). Radiocarbon dating gives a range from 2680 BC. e. to 2850 BC e. Therefore, there is no serious confirmation of the established “birthday” of the pyramid, since Egyptologists cannot agree on exactly what year construction began.

First mention of the pyramid

The complete absence of mention of the pyramid in Egyptian papyri remains a mystery. The first descriptions are found in the Greek historian Herodotus (5th century BC) and in ancient Arab legends [ ] . Herodotus reported (at least 2 millennia after the appearance of the Great Pyramid) that it was built under a despot pharaoh named Cheops (Greek: Cheops). Koufou), who ruled for 50 years, that 100 thousand people were employed in construction. for twenty years, and that the pyramid is in honor of Cheops, but not his grave. The real grave is a burial near the pyramid. Herodotus gave erroneous information about the size of the pyramid, and also mentioned about the middle pyramid of the Giza plateau that it was built by the daughter of Cheops, who sold herself, and that each building stone corresponded to the man to whom she was given. According to Herodotus, if “to lift the stone, a long winding path to the grave was revealed,” without specifying which pyramid he was talking about; however, the pyramids of the Giza plateau did not have “winding” paths to the tomb at the time Herodotus visited them; on the contrary, the Descending Passage of BP Cheops is distinguished by careful straightforwardness. At that time, no other premises were known in the BP.

Appearance

Surviving fragments of the pyramid's cladding and the remains of the pavement surrounding the building

The pyramid is called "Akhet-Khufu" - "Horizon of Khufu" (or more accurately "Related to the firmament - (it is) Khufu"). Consists of limestone and granite blocks. It was built on a natural limestone hill. After the pyramid has lost several layers of cladding, this hill is partially visible on the eastern, northern and southern sides of the pyramid. Despite the fact that the Cheops pyramid is the tallest and most voluminous of all Egyptian pyramids, yet Pharaoh Snofru built the pyramids in Meidum and Dakhshut (Broken Pyramid and Pink Pyramid), the total mass of which is estimated at 8.4 million tons.

Initially, the pyramid was lined with white limestone, which was harder than the main blocks. The top of the pyramid was crowned with a gilded stone - pyramidion (ancient Egyptian - “Benben”). The cladding shone in the sun with a peach color, like “a shining miracle to which the sun god Ra himself seemed to give all his rays.” In 1168, the Arabs sacked and burned Cairo. Residents of Cairo removed the cladding from the pyramid in order to build new houses.

Statistical data

Pyramid of Cheops in the 19th century

Map of the necropolis near the Cheops pyramid

Height (today): ≈ 136.5 m
Side angle (current): 51° 50"
Side rib length (original): 230.33 m (calculated) or about 440 royal cubits
Side fin length (current): approx. 225 m
The length of the sides of the base of the pyramid: south - 230.454 m; north - 230.253 m; west - 230.357 m; east - 230.394 m
Foundation area (initially): ≈ 53,000 m2 (5.3 ha)
Lateral surface area of the pyramid (initially): ≈ 85,500 m2
Base perimeter: 922 m
Total volume of the pyramid without deducting the cavities inside the pyramid (initially): ≈ 2.58 million m3
Total volume of the pyramid minus all known cavities (initially): 2.50 million m 3
Average volume of stone blocks: 1,147 m3
Average weight of stone blocks: 2.5 tons
The heaviest stone block: about 35 tons - is located above the entrance to the “King’s Chamber”.
The number of blocks of average volume does not exceed 1.65 million (2.50 million m³ - 0.6 million m³ of rock base inside the pyramid = 1.9 million m 3 /1.147 m 3 = 1.65 million blocks of the specified volume can physically fit in the pyramid , without taking into account the volume of mortar in interblock joints); referring to a 20-year construction period * 300 working days per year * 10 working hours per day * 60 minutes per hour leads to a speed of laying (and delivery to the construction site) of about a block of two minutes.
According to estimates, the total weight of the pyramid is about 4 million tons (1.65 million blocks x 2.5 tons)
The base of the pyramid rests on a natural rocky elevation about 12-14 m high in the center and, according to the latest data, occupies at least 23% of the original volume of the pyramid
The number of layers (tiers) of stone blocks is 210 (at the time of construction). Now there are 203 layers.

Concavity of the sides

Concavity of the sides of the Cheops pyramid

When the sun moves around the pyramid, you can notice the unevenness of the walls - the concavity of the central part of the walls. This may be due to erosion or damage from falling stone cladding. It is also possible that this was specially done during construction. As Vito Maragioglio and Celeste Rinaldi note, the pyramid of Mycerinus no longer has such concave sides. I.E.S. Edwards explains this feature by saying that the central part of each side simply pressed inward over time from large mass stone blocks. [ ]

As in the 18th century, when this phenomenon was discovered, today there is still no satisfactory explanation for this architectural feature.

Observation of the concavity of the sides in late XIX V., Description of Egypt

Tilt angle

It is not possible to accurately determine the original parameters of the pyramid, since its edges and surfaces are currently mostly dismantled and destroyed. This makes it difficult to calculate the exact angle of inclination. In addition, its symmetry itself is not ideal, so deviations in the numbers are observed with different measurements.

Geometric study of ventilation tunnels

A study of the geometry of the Great Pyramid does not provide a clear answer to the question of the original proportions of this structure. It is assumed that the Egyptians had an idea about the “Golden ratio" and the number pi, which were reflected in the proportions of the pyramid: thus, the ratio of height to base is 14/22 (height = 280 cubits, and base = 440 cubits, 280/440 = 14/ 22). For the first time in world history, these quantities were used in the construction of the pyramid at Meidum. However, for pyramids of later eras, these proportions were not used anywhere else, as, for example, some have height-to-base ratios, such as 6/5 (Pink Pyramid), 4/3 (Pyramid of Khafre) or 7/5 (Broken Pyramid).

Some of the theories consider the pyramid to be an astronomical observatory. It is argued that the corridors of the pyramid accurately point towards the “pole star” of that time - Thuban, the ventilation corridors on the south side point to the star Sirius, and on the north side to the star Alnitak.

Internal structure

Cross section of the Cheops pyramid:

The entrance to the pyramid is at an altitude of 15.63 meters on the north side. The entrance is formed by stone slabs laid in the form of an arch, but this is the structure that was inside the pyramid - the true entrance has not been preserved. The true entrance to the pyramid was most likely closed with a stone plug. A description of such a plug can be found in Strabo, and its appearance can also be imagined based on the preserved slab that covered the upper entrance to the Bent Pyramid of Snefru, the father of Cheops. Today, tourists get inside the pyramid through a 17-meter gap, which was made 10 meters lower by the Baghdad caliph Abdullah al-Mamun in 820. He hoped to find the pharaoh's countless treasures there, but found there only a layer of dust half a cubit thick.

Inside the Cheops pyramid there are three burial chambers, located one above the other.

Funeral "pit"

Underground Chamber Maps

A 105 m long descending corridor running at an inclination of 26° 26'46 leads to an 8.9 m long horizontal corridor leading to the chamber 5 . Situated below ground level in a limestone bedrock, it remained unfinished. The dimensions of the chamber are 14x8.1 m, it extends from east to west. The height reaches 3.5 m, the ceiling has a large crack. At the southern wall of the chamber there is a well about 3 m deep, from which a narrow manhole (0.7 × 0.7 m in cross-section) stretches in a southern direction for 16 m, ending in a dead end. At the beginning of the 19th century, engineers John Shae Perring and Richard William Howard Vyse cleared the floor of the chamber and dug a well 11.6 m deep, in which they hoped to discover a hidden burial chamber. They were based on the testimony of Herodotus, who claimed that the body of Cheops was on an island surrounded by a canal in a hidden underground chamber. Their excavations came to nothing. Later studies showed that the chamber was abandoned unfinished, and it was decided to build the burial chambers in the center of the pyramid itself.

Ascending Corridor and Queen's Chambers

From the first third of the descending passage (18 m from the main entrance), an ascending passage goes south at the same angle of 26.5° ( 6 ) about 40 m long, ending at the bottom of the Great Gallery ( 9 ).

At its beginning, the ascending passage contains 3 large cubic granite “plugs”, which from the outside, from the descending passage, were masked by a block of limestone that fell out during the work of al-Mamun. Thus, for the first 3000 years from the construction of the pyramid (including during the era of its active visits in Antiquity), it was believed that there were no other rooms in the Great Pyramid other than the descending passage and the underground chamber. Al-Mamun was unable to break through these plugs and simply hollowed out a bypass to the right of them in the softer limestone. This passage is still in use today. There are two main theories about the traffic jams, one of them is based on the fact that the ascending passage has traffic jams installed at the beginning of construction and thus this passage was sealed by them from the very beginning. The second argues that the current narrowing of the walls was caused by an earthquake, and the plugs were previously located within the Great Gallery and were used to seal the passage only after the funeral of the pharaoh.

An important mystery of this section of the ascending passage is that in the place where the traffic jams are now located, in the full-size, albeit shortened model of the pyramid passages - the so-called test corridors north of the Great Pyramid - there is a junction of not two, but three corridors at once, the third of which is a vertical tunnel. Since no one has yet been able to move the plugs, the question of whether there is a vertical hole above them remains open.

In the middle of the ascending passage, the design of the walls has a peculiarity: in three places the so-called “frame stones” are installed - that is, the passage, square along its entire length, pierces through three monoliths. The purpose of these stones is unknown. In the area of the frame stones, the walls of the passage have several small niches.

A horizontal corridor 35 m long and 1.75 m high leads to the second burial chamber from the lower part of the Great Gallery in a southerly direction. The walls of this horizontal corridor are made of very large limestone blocks, on which false “seams” are applied, imitating masonry from smaller blocks . Behind the western wall of the passage there are cavities filled with sand. The second chamber is traditionally called the “Queen’s Chamber,” although according to the ritual, the wives of the pharaohs were buried in separate small pyramids. The Queen's Chamber, lined with limestone, measures 5.74 meters from east to west and 5.23 meters from north to south; its maximum height is 6.22 meters. There is a high niche in the eastern wall of the chamber.

Drawing of the Queen's Chamber ( 7 )

Niche in the wall of the Queen's Chamber

Corridor at the entrance to the queen's hall (1910)

Entrance to the Queen's Chamber (1910)

Niche in the Queen's Chamber (1910)

Ventilation duct in the queen's chamber (1910)

Corridor to the ascending tunnel ( 12 )

Granite plug (1910)

Corridor to the ascending tunnel (on the left are closing blocks)

Grotto, Grand Gallery and Pharaoh's Chambers

Another branch from the lower part of the Great Gallery is a narrow, almost vertical shaft about 60 m high, leading to the lower part of the descending passage. There is an assumption that it was intended to evacuate workers or priests who were completing the “sealing” of the main passage to the “King’s Chamber.” Approximately in the middle of it there is a small, most likely natural extension - the “Grotto” (Grotto) of irregular shape, in which several people could fit at most. Grotto ( 12 ) is located at the “junction” of the masonry of the pyramid and a small, about 9 meters high, hill on the limestone plateau lying at the base of the Great Pyramid. The walls of the Grotto are partially reinforced by ancient masonry, and since some of its stones are too large, there is an assumption that the Grotto existed on the Giza plateau as an independent structure long before the construction of the pyramids, and the evacuation shaft itself was built taking into account the location of the Grotto. However, taking into account the fact that the shaft was hollowed out in the already laid masonry, and not laid out, as evidenced by its irregular circular cross-section, the question arises of how the builders managed to accurately reach the Grotto.

The large gallery continues the ascending passage. Its height is 8.53 m, it is rectangular in cross-section, with walls slightly tapering upward (the so-called “false vault”), a high inclined tunnel 46.6 m long. In the middle of the Great Gallery along almost the entire length there is a square recess with a regular cross-section measuring 1 meter wide and 60 cm deep, and on both side protrusions there are 27 pairs of recesses of unknown purpose. The recess ends with the so-called. “Big step” - a high horizontal ledge, a 1x2 meter platform at the end of the Great Gallery, immediately before the hole into the “hallway” - the Antechamber. The platform has a pair of ramp recesses similar to those in the corners near the wall (the 28th and last pair of BG recesses). Through the “hallway” a hole leads into the funeral “Tsar’s Chamber” lined with black granite, where an empty granite sarcophagus is located. The sarcophagus lid is missing. Ventilation shafts have mouths in the “King’s Chamber” on the southern and northern walls at a height of about a meter from the floor level. The mouth of the southern ventilation shaft is severely damaged, the northern one appears intact. The floor, ceiling, and walls of the chamber do not have any decorations or holes or fastening elements of anything dating back to the construction of the pyramid. The ceiling slabs have all burst along the southern wall and are not falling into the room only due to the pressure from the weight of the overlying blocks.

Above the “Tsar’s Chamber” there are five unloading cavities with a total height of 17 m discovered in the 19th century, between which lie monolithic granite slabs about 2 m thick, and above there is a gable roof made of limestone. It is believed that their purpose is to distribute the weight of the overlying layers of the pyramid (about a million tons) to protect the “King's Chamber” from pressure. In these voids, graffiti was discovered, probably left by workers.

Interior of the Grotto (1910)

Drawing of a Grotto (1910)

Drawing of the connection of the Grotto with the Great Gallery (1910)

Entrance to the Tunnel (1910)

View of the Great Gallery from the entrance to the room

Large gallery

Grand Gallery (1910)

Drawing of the Pharaoh's Chamber

Pharaoh's chamber

Pharaoh's Chamber (1910)

Interior of the vestibule in front of the Tsar's chamber (1910)

"Ventilation" channel at the southern wall of the king's room (1910)

Ventilation ducts

So-called “ventilation” channels 20-25 cm wide extend from the “Tsar’s Chamber” and “Queen’s Chamber” in the northern and southern directions (first horizontally, then obliquely upward). At the same time, the channels of the “Tsar’s Chamber,” known since the 17th century, through, they are open both below and above (on the edges of the pyramid), while the lower ends of the channels of the “Queen’s Chamber” are separated from the surface of the wall by about 13 cm; they were discovered by tapping in 1872. The upper ends of the Queen's Chamber shafts do not reach the surface by about 12 meters, and are closed by stone Gantenbrink Doors, each with two copper handles. The copper handles were sealed with plaster seals (not preserved, but traces remain). In the southern ventilation shaft, the “door” was discovered in 1993 with the help of the remote-controlled robot “Upout II”; the bend of the northern shaft did not allow Then detect the same “door” in it by this robot. In 2002, using a new modification of the robot, a hole was drilled in the southern “door,” but behind it a small cavity 18 centimeters long and another stone “door” were discovered. What lies next is still unknown. This robot confirmed the presence of a similar “door” at the end of the northern channel, but they did not drill it. In 2010, a new robot was able to insert a serpentine television camera into a drilled hole in the southern “door” and discovered that the copper “handles” on that side of the “door” were designed in the form of neat hinges, and individual red ocher icons were painted on the floor of the “ventilation” shaft. Currently, the most common version is that the purpose of the “ventilation” ducts was of a religious nature and is associated with the Egyptian ideas about the afterlife journey of the soul. And the “door” at the end of the channel is nothing more than a door to the afterlife. That is why it does not reach the surface of the pyramid. At the same time, the shafts of the upper burial chamber have through exits to the outside and inside the room; it is unclear whether this is due to some change in ritual; Since the outer few meters of the pyramid's lining have been destroyed, it is unclear whether there were "Gantenbrink Doors" in the upper shafts. (could have been in a place where the mine was not preserved). In the southern upper shaft there is a so-called “Cheops niches” are strange extensions and grooves that may have contained a “door”. There are no “niches” at all in the northern upper one.

Therefore, this article will present only the main general facts and figures relating to the Great Pyramid as a whole.

Date of construction and geometric dimensions

According to generally accepted opinion, the Great Pyramid was built in the 2560-2580s BC as a tomb for the reigning pharaoh of the IV dynasty Cheops (Khufu) at that time. Despite some difficulties in explaining the possibility of its construction in the required time frame using the technology available at that time, this version is nevertheless considered the main one and has quite numerous confirmations in the form of inscriptions discovered inside the Pyramid and the Pit of the Solar Boat with it.

The Pyramid of Cheops is the largest of the Egyptian pyramids.

Height (today): ≈ 138.75 m
Height (original): ≈ 146.5 m
Angle: 51° 50"
Side length (original): 230.33 m (calculated) or about 440 Royal cubits
Side length (currently): about 225 m
The length of the sides of the base of the pyramid: south - 230.454 m; north - 230.253 m; west - 230.357 m; east - 230.394 m.
Foundation area (initially): ≈ 53,000 m² (5.3 ha)
Area of the pyramid: (initially) ≈ 85,500 m²
Perimeter: 922 m.
Total volume of the pyramid without deducting the cavities inside the pyramid (initially): ≈ 2.58 million m³
Total volume of the pyramid, after subtracting all known cavities (initially): 2.50 million m³
The average size of the observed stone blocks of rough masonry: 1.27 m in width and depth, 71 cm in height (according to Petrie)
Average weight of rough masonry stone blocks: 2.5 t
The heaviest stone block of rough masonry: 15 t
Heaviest stone block (known; granite; above the entrance to the King's Chamber): 90 t
Number of blocks: about 2.5 million (provided that the pyramid is not a backfill type)
Estimated total weight of the pyramid: about 6.25 million tons (possibly about 6 million tons according to microgravimetry)
The base of the pyramid rests on a natural rocky elevation in the center (in the Grotto area) more than 9 m high.
Materials used in construction (from known ones): limestone from the Giza Plateau - rough masonry, Tour white limestone - internal walls, ventilation shafts and external cladding, Aswan granite - Antechamber, King's Chamber, unloading chambers (partially), plugs; Sinai - sarcophagus. Quartz sand was also found inside.
The pyramidion of the pyramid was not found, nor were its mounting stones.
The True Entrance is located traditionally, i.e., on the north side. He is the only one known.

Difference in thickness of pyramid masonry layers

Despite the fact that the pyramid is built in layers, the thickness of the layers is different and varies from 60 cm to one and a half meters.

The reasons for this are not exactly known, there are several hypotheses, the simplest one says that large blocks were laid in eras when there was an excess amount of labor for laying layers of rough masonry. Which may be connected, for example, with its release after the completion of a certain labor-intensive stage in the construction of some complex internal infrastructure or a season for the procurement of blocks, etc. The scheme requires careful analysis.

Current state of affairs and appearance after the disappearance of the cladding

The Great Pyramid now has edges concave inwards. This often gives rise to various theories and speculations, but it should be remembered that the structure has lost several meters of cladding on each side, and the nature of its looting for stone does not give reason to believe that the original faces were not flat.

Perhaps the observed picture is simply a consequence of the most profitable extraction of stone.

Question about using the pyramid for its intended purpose

Since ancient times, the question has been acutely raised: was the Cheops pyramid used for its intended purpose? There is still no clear answer to this question. On the one hand, there is almost complete confidence that the pyramid was completely completed by the builders. On the other hand, what we see inside it, for example, a sarcophagus in the King’s Chamber that is clearly not of the best quality, an unfinished floor in the Queen’s Chamber, or a picture of complete incompleteness in the Underground Chamber - everything suggests that the pharaoh in these famous premises could hardly have been buried at all. Herodotus also claimed that Cheops was buried in another place, on an island surrounded on all sides by water. On the third hand, traces of obvious hacking of the plugs and dampers of the Antechamber indicate that the pyramid was for some reason carefully sealed. The official point of view of science on this matter suggests that the burglars visited the pyramid no later than the first 500-600 years from the moment of its construction. But what they found, who they were and whether they found anything at all is completely unknown. In the volume of the Great Pyramid, the volume of all known and explored rooms is less than 1 percent, and it is already known that in addition to the explored ones, there are several unknown sealed rooms in it.

Blocks and Quarries

Egyptologists believe that the Pyramids of Giza were built from natural stone, which was quarried from three quarries. The actual construction of the pyramids is made of nummulitic limestone of the Mokattam formation. The quarries were located in close proximity to the pyramids. The lower parts of the pyramids of Khafre and Mikerin were lined with granite from the Aswan quarry, which is located in Southern Egypt at a distance of 934 kilometers along the Nile (700 kilometers in a straight line). Several rows of granite cladding have been preserved at the pyramid of Mikerin. The middle and upper parts of the two large pyramids were lined with limestone from the Tursky quarry, which is located on east coast Nile south of Cairo at a distance of 13-17 kilometers from the pyramids. The number of pyramid facing blocks (granite and limestone) that have reached us is relatively small. Therefore, we can simply agree that stone from the Tours and Aswan quarries was used in the construction of the pyramids. The opinion that the pyramids were built from nummulitic limestone does not fully correspond to reality. The lower rows of the pyramids are made of hard limestone of the Moqattam formation. Higher up, blocks of soft limestone, which do not contain nummulites, predominate. It is fundamentally. That is, when describing pyramid blocks in specialized literature, it seems to remain “behind the scenes” that most of them are carved out of soft limestone.

The bottom rows of the pyramids (approximately 1-7/10 rows) are made of blocks cut from solid limestone. The first row of the Cheops pyramid (thickness 1.5 m) is carved from a layer of strong limestone, which has the greatest thickness - 1.5 m. The upper rows of the pyramids are dominated by blocks cut from soft limestone (or cast blocks indistinguishable from them - this statement requires evidence, Supervisor 03:05, 22 May 2011 (UTC)). When developing the quarry, it was necessary to fulfill one condition: the time elapsed from the opening of soft limestones to the cutting of building blocks from them should be minimal. That is, soft limestones had to be cut into blocks before they hardened from contact with air. In addition, after cutting the soft limestone blocks, it took some time for them to harden and not crumble during transportation. The cyclical nature of quarry development meets these requirements. Its site was being developed, the area of which was approximately 1.5 times larger than the area of the row of blocks where the construction of the pyramid was stopped. The blocks were cut from layers of hard and soft limestone and stored “layer by layer,” that is, according to their vertical dimensions. After all the limestone had been removed from the area, its laying into the body of the pyramid began. The order of laying blocks of different thicknesses (and, accordingly, different weights) was determined by the ratio of labor costs for lifting them. This ensured that the rows of blocks were ranked according to their thickness.

Base of the pyramid

According to modern calculations, the rocky base of the Cheops pyramid occupies 23% of the volume of the pyramid, or about 600,000 cubic meters. The minimum figures were obtained by determining the height of the rock in terms of an average level of 12.5 meters. But the authors of the study do not exclude the possibility of using an average height of 20 meters. In any case new geological exploration work is required to clarify these data. A revision of most old works with calculations of the stone used during construction is also required. In addition, there are estimates of 10-12% of the volume of the pyramid, which is occupied by the mortar holding the blocks together.

The directions to the north of the side faces were kept so precisely that due to the sphericity of the Earth and the colossal size of the Pyramid, its northern side turned out to be 20 cm shorter than the southern one. (the exact dimensions of the pyramid are known from the preserved pits of the supporting corner stones)

Sources

[http://supernovum.ru/public/index.php?doc=171 | Mining and geological aspect of the technology of construction of the pyramids of Giza]

[http://hal.archives-ouvertes.fr/docs/00/31/95/86/PDF/PyramidsSR.pdf Geological and Geomorphological study of the original hill at the base of Fourth Dynasty Egyptian monuments.]

One of the greatest structures of the ancient world is located in Egypt. This structure, since its completion, has amazed us with its grandeur and impeccable geometry. It was not for nothing that the ancient Greeks included the Cheops pyramid in their list of seven wonders of the world. This is the only miracle that has survived to this day.

The Pyramid of Cheops has become a real masterpiece. Modern researchers are amazed at the rigor of proportions and accuracy of geometric dimensions, which the ancient Egyptians handled brilliantly. Some Egyptologists seriously believe that the builders of the 26th century BC could not have built such a structure in 22 years. They stick to the theory extraterrestrial origin pyramids

The point of view of these researchers has a right to exist, especially since the arguments they present sometimes baffle their opponents. The location of the pyramid and its proportions are so precise that to position it in accordance with the cardinal directions would require modern builders to use the most accurate geodetic instruments. If exact location The pyramids of Cheops on the cardinal points are an accident, then the accident is very happy.

The current proportions of the pyramid of Cheops, or Khufu, are not what they were originally. Scientists were able to determine that the maximum height of the pyramid in 2568 BC was 146.6 meters. The ratio of height and base is thus 3.14..., that is, the number “Pi” from geometry. The point is the accuracy in which the ratio repeats the number “Pi”. This precision is six decimal places. Archimedes did not know this meaning; he would have envied such accuracy, no doubt.

On the day of completion of construction, the Cheops pyramid was 146.6 meters high. However, now its height is much less than its original height. There are two reasons for this decrease. One of a natural nature is erosion. The second reason is artificial. Her name is human...

In 1301, Cairo experienced an earthquake. Most of the houses have turned into piles of rubbish. The same fate befell mosques with elaborate minarets. After the first shock, the Cairo authorities turned to a real treasure trove of building materials - the pagan pyramids. They were seduced by the polished limestone slabs that lined the pyramids. Following the path of least resistance, by reducing overhead costs, the Arabs began to remove the outer cladding of the pyramids. Now only part of the cladding on the upper tiers of the Pyramid of Khafre has been preserved. There is no outer cladding left on the Cheops pyramid.

As a result of barbaric dismantling, the height of the tallest pyramid in Egypt decreased by more than eight meters. Today's sources talking about the height of the Cheops pyramid do not shine with uniformity. The difference is 10-20 centimeters. On the one hand, such a discrepancy in data outrages pedants and lovers of accuracy. On the other hand, 10-20 centimeters do not determine anything now. After all, the original proportions are broken irrevocably and forever.

The Arabs who dismantled the pyramids did not ask themselves subtle scientific questions. They were not interested in the theories put forward by modern scientists. They were interested in immediate solutions to everyday problems. They did not hesitate to damage one of the seven wonders of the world. We can complain for a long time about the Arabs of the early 14th century. We can complain about inaccuracies in determining the real height of the pyramid. We can make hypotheses regarding the creators of the pyramids. But the pyramids don't care. They continue to exist and will outlive us with our emotions. They will continue to delight and awe visitors who will disturb their centuries-old peace.

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Books

Pyramid of Secrets
Pyramid of Secrets, Alan Alford. The Pyramid of Cheops has been the subject of endless debate for hundreds of years on three main questions: who built it, how and why. A book by the famous English writer Alan Alford...

Age of the pyramid

The architect of the Great Pyramid is considered to be Hemiun, the vizier and nephew of Cheops. He also bore the title "Manager of all Pharaoh's construction projects." It is assumed that the construction, which lasted twenty years (during the reign of Cheops), ended around 2540 BC. e. .

First mention of the pyramid

Video on the topic

Appearance

Surviving fragments of the pyramid's cladding and the remains of the pavement surrounding the building

The pyramid is called "Akhet-Khufu" - "Horizon of Khufu" (or more accurately "Related to the firmament - (it is) Khufu"). Consists of limestone and granite blocks. It was built on a natural limestone hill. After the pyramid has lost several layers of cladding, this hill is partially visible on the eastern, northern and southern sides of the pyramid. Despite the fact that the Cheops pyramid is the tallest and most voluminous of all the Egyptian pyramids, Pharaoh Sneferu built the pyramids in Meidum and Dakhshut (Broken Pyramid and Pink Pyramid), the total mass of which is estimated at 8.4 million tons.

Statistical data

Pyramid of Cheops in the 19th century

Map of the necropolis near the Cheops pyramid

Height (today): ≈ 136.5 m
Side angle (current): 51° 50"
Side rib length (original): 230.33 m (calculated) or about 440 royal cubits
Side fin length (current): approx. 225 m
The length of the sides of the base of the pyramid: south - 230.454 m; north - 230.253 m; west - 230.357 m; east - 230.394 m
Foundation area (initially): ≈ 53,000 m2 (5.3 ha)
Lateral surface area of the pyramid (initially): ≈ 85,500 m2
Base perimeter: 922 m
Total volume of the pyramid without deducting the cavities inside the pyramid (initially): ≈ 2.58 million m3
Total volume of the pyramid minus all known cavities (initially): 2.50 million m 3
Average volume of stone blocks: 1,147 m3
Average weight of stone blocks: 2.5 tons
The heaviest stone block: about 35 tons - is located above the entrance to the “King’s Chamber”.
The number of blocks of average volume does not exceed 1.65 million (2.50 million m³ - 0.6 million m³ of rock base inside the pyramid = 1.9 million m 3 /1.147 m 3 = 1.65 million blocks of the specified volume can physically fit in the pyramid , without taking into account the volume of mortar in interblock joints); referring to a 20-year construction period * 300 working days per year * 10 working hours per day * 60 minutes per hour leads to a speed of laying (and delivery to the construction site) of about a block of two minutes.
According to estimates, the total weight of the pyramid is about 4 million tons (1.65 million blocks x 2.5 tons)
The base of the pyramid rests on a natural rocky elevation about 12-14 m high in the center and, according to the latest data, occupies at least 23% of the original volume of the pyramid
The number of layers (tiers) of stone blocks is 210 (at the time of construction). Now there are 203 layers.

Concavity of the sides

Concavity of the sides of the Cheops pyramid

When the sun moves around the pyramid, you can notice the unevenness of the walls - the concavity of the central part of the walls. This may be due to erosion or damage from falling stone cladding. It is also possible that this was specially done during construction. As Vito Maragioglio and Celeste Rinaldi note, the pyramid of Mycerinus no longer has such concave sides. I.E.S. Edwards explains this feature by saying that the central part of each side was simply pressed inward over time by the large mass of stone blocks. [ ]

As in the 18th century, when this phenomenon was discovered, today there is still no satisfactory explanation for this architectural feature.

Observation of the concavity of the sides at the end of the 19th century, Description of Egypt

Tilt angle

Geometric study of ventilation tunnels

Internal structure

Cross section of the Cheops pyramid:

Inside the Cheops pyramid there are three burial chambers, located one above the other.

Funeral "pit"

Underground Chamber Maps

Ascending Corridor and Queen's Chambers

Drawing of the Queen's Chamber ( 7 )

Niche in the wall of the Queen's Chamber

Corridor at the entrance to the queen's hall (1910)

Entrance to the Queen's Chamber (1910)

Niche in the Queen's Chamber (1910)

Ventilation duct in the queen's chamber (1910)

Corridor to the ascending tunnel ( 12 )

Granite plug (1910)

Corridor to the ascending tunnel (on the left are closing blocks)

Grotto, Grand Gallery and Pharaoh's Chambers

Interior of the Grotto (1910)

Drawing of a Grotto (1910)

Drawing of the connection of the Grotto with the Great Gallery (1910)

Entrance to the Tunnel (1910)

View of the Great Gallery from the entrance to the room

Large gallery

Grand Gallery (1910)

Drawing of the Pharaoh's Chamber

Pharaoh's chamber

Pharaoh's Chamber (1910)

Interior of the vestibule in front of the Tsar's chamber (1910)

"Ventilation" channel at the southern wall of the king's room (1910)

Ventilation ducts

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