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The Great Pyramid of Giza (also called the Pyramid of
Khufu and the Pyramid of Cheops) is the oldest and largest of
the three pyramids in the Giza Necropolis bordering what is now
El Giza, Egypt. It is the oldest of the Seven Wonders of the
Ancient World, and the only one to remain largely intact. It is
believed the pyramid was built as a tomb for fourth dynasty
Egyptian Pharaoh Khufu (Cheops in Greek) and constructed over a
20-year period concluding around 2560 BC. The Great Pyramid was
the tallest man-made structure in the world for over 3,800
years. Originally the Great Pyramid was covered by casing stones
that formed a smooth outer surface; what is seen today is the
underlying core structure. Some of the casing stones that once
covered the structure can still be seen around the base. There
have been varying scientific and alternative theories about the
Great Pyramid's construction techniques. Most accepted
construction hypotheses are based on the idea that it was built
by moving huge stones from a quarry and dragging and lifting
them into place. There are three known chambers inside the Great
Pyramid. The lowest chamber is cut into the bedrock upon which
the pyramid was built and was unfinished. The so-called Queen's
Chamber and King's Chamber are higher up within the pyramid
structure. The Great Pyramid of Giza is the only pyramid in
Egypt known to contain both ascending and descending passages.
The main part of the Giza complex is a setting of buildings that
included two mortuary temples in honor of Khufu (one close to
the pyramid and one near the Nile), three smaller pyramids for
Khufu's wives, an even smaller "satellite" pyramid, a raised
causeway connecting the two temples, and small mastaba tombs
surrounding the pyramid for nobles
Building of the
Great Pyramid of Giza:
It is believed the pyramid was built as a tomb for Fourth
dynasty Egyptian pharaoh Khufu and constructed over a 14 to 20
year period. Khufu's vizier, Hemon, or Hemiunu, is believed by
some to be the architect of the Great Pyramid.It is thought
that, at construction, the Great Pyramid was originally 280
Egyptian cubits tall, 146.5 metres (480.6 ft) but with erosion
and absence of its pyramidion, its present height is
138.8 metres (455.4 ft). Each base side was 440 royal cubits,
230.4 metres (755.9 ft) long. A royal cubit measures
0.524 metres.The mass of the pyramid is estimated at 5.9 million
tonnes. The volume, including an internal hillock, is roughly
2,500,000 cubic meters. Based on these estimates, building this
in 20 years would involve installing approximately 800 tonnes of
stone every day. Alternatively looking at the construction from
another angle, since the Great Pyramid consists of an estimated
2.3 million blocks, completing the building in 20 years would
involve moving little more than 12 of the blocks in place each
hour, day and night, during the 20 year period. The first
precision measurements of the pyramid were done by Egyptologist
Sir Flinders Petrie in 1880–82 and published as The Pyramids and
Temples of Gizeh. Almost all reports are based on his
measurements. Many of the casing stones and inner chamber blocks
of the Great Pyramid were fit together with extremely high
precision. Based on measurements taken on the north eastern
casing stones, the mean opening of the joints are only 0.5
millimeters wide (1/50th of an inch). The pyramid
remained the tallest man-made structure in the world for over
3,800 years, unsurpassed until the 160-meter-tall spire of
Lincoln Cathedral was completed c. 1300. The accuracy of the
pyramid's workmanship is such that the four sides of the base
have an average error of only 58 millimeters long. The base is
horizontal and flat to within 21 mm. The sides of the square
base are closely aligned to the four cardinal compass points
(within 4 minutes of arc) based on true north, not magnetic
north, and the finished base was squared to a mean corner error
of only 12 . The completed design dimensions, as suggested by
Petrie's survey and subsequent studies, are estimated to have
originally been 280 cubits high by 440 cubits long at each of
the four sides of its base. The proportion 440/280 = 11/7 equate
to π/2 to an accuracy of better than 0.05% (corresponding to the
well-known approximation of π as 22/7). Some Egyptologists
consider this to have been the result of deliberate design
proportion. Verner wrote, "We can conclude that although the
ancient Egyptians could not precisely define the value of π, in
practice they used it". Petrie, author of Pyramids and Temples
of Gizeh, who was the first accurate surveyor of Giza and the
excavator and surveyor of the Pyramid of Meidum, concluded: "but
these relations of areas and of circular ratio are so systematic
that we should grant that they were in the builders design".
Earlier in the chapter he wrote more specifically, that: “We
conclude therefore that the approximation of 7 to 22 as the
ratio of diameter to circumference was recognised”. These
proportions equated to the four outer faces sloping by 51.843°
or 51° 50′ 34″, which would have been understood and expressed
by the Ancient Egyptians as a seked slope of 5½ palms
Materials:
The Great Pyramid consists of an estimated 2.3 million limestone
blocks with most believed to have been transported from nearby
quarries. The Tura limestone used for the casing was quarried
across the river. The largest granite stones in the pyramid,
found in the "King's" chamber, weigh 25 to 80 tonnes and were
transported more than 500 miles away from Aswan. Traditionally,
ancient Egyptians cut stone blocks by hammering wooden wedges
into the stone which were then soaked with water. As the water
was absorbed, the wedges expanded, causing the rock to crack.
Once they were cut, they were carried by boat either up or down
the Nile River to the pyramid.
Casing stones:
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At completion, the Great
Pyramid was surfaced by white 'casing stones' – slant-faced, but
flat-topped, blocks of highly polished white limestone. These
were carefully cut to what is approximately a face slope with a
seked of 5½ palms to give the required dimensions. Visibly, all
that remains is the underlying stepped core structure seen
today. In AD 1300, a massive earthquake loosened many of the
outer casing stones, which were then carted away by Bahri Sultan
An-Nasir Nasir-ad-Din al-Hasan in 1356 to build mosques and
fortresses in nearby Cairo. The stones can still be seen as parts of these structures to this day. Later
explorers reported massive piles of rubble at the base of the
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pyramids left over from the
continuing collapse of the casing stones, which were
subsequently cleared away during continuing excavations of the
site. Nevertheless, a few of the casing stones from the lowest
course can be seen to this day in situ around the base of the
Great Pyramid, and display the same workmanship and precision as
has been reported for centuries. Petrie also found a different
orientation in the core and in the casing measuring
193 centimeters ± 25 centimeters. He suggested a redetermination
of north was made after the construction of the core, but a
mistake was made, and the casing was built with a different
orientation.Petrie related the precision of the casing stones as
to being "equal to opticians' work of the present day, but on a
scale of acres." and "to place such stones in exact contact
would be careful work; but to do so with cement in the joints
seems almost impossible."
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Construction
theories:
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Many alternative, often contradictory, theories have been
proposed regarding the Pyramid's construction techniques. Not
all even agree that the blocks were quarried; Davidovits claims
that they were cast in situ using a "limestone concrete", a
theory which is rejected by other Egyptologists. The rest accept
that it was built by moving huge stones from a quarry, being
only unable to agree whether they were dragged, lifted or even
rolled into place. The Greeks believed that slave labour was
used, but modern Egyptologists accept that it was built by many
tens of thousands of skilled workers. They camped near the
pyramids and worked for a salary or as a form of paying taxes
until the construction was completed. Their cemeteries were
discovered in 1990 by archaeologists Zahi Hawass and Mark
Lehner. Verner posited that the labor was organized into a
hierarchy, consisting of two gangs of 100,000 men, divided into
five zaa or phyle of 20,000 men each, which may have been
further divided according to the skills of the workers. One
mystery of the pyramid's construction is its planning. John
Romer suggests that they used the same method that had been used
for earlier and later constructions, laying out parts of the
plan on the ground at a 1 to 1 scale. He writes that "such a
working diagram would also serve to generate the architecture of
the pyramid with precision unmatched by any other means." He
devotes a chapter of his book to the physical evidence that
there was such a plan. The 1925 Cole survey discovered as part
of some planning an actual Original Builder's Mark, engraved
into the pavement perpendicular to the N face.
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Interior:
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Diagram of
the interior structures of the Great Pyramid. The inner line
indicates the pyramid's present profile, the outer line
indicates the original profile. |
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The original entrance to the Great Pyramid is 17m (55’7”)
vertically above ground level and 7.29m (23'11”) east of the
center line of the pyramid. From this original entrance there is
a Descending Passage 0.96m (3'2") high and 1.04m (3'5") wide
which goes down at an angle of 26° 31'23" through the masonry of
the pyramid and then into the bedrock beneath it. After 105.23m
(345’3”) the passage becomes level and continues for an
additional 8.84m (29’) to the lower Chamber, which appears not
to have been finished. There is a continuation of the horizontal
passage in the south wall of the lower chamber; there is also a
pit dug in the floor of the chamber. Some Egyptologists suggest
this Lower Chamber was intended to be the original burial
chamber, but that King Khufu later changed his mind and wanted
it to be higher up in the pyramid. 28.2m (98’7”) from the
entrance is a square hole in the roof of the Descending Passage.
Originally concealed with a slab of stone, this is the beginning
of the Ascending Passage. The Ascending Passage is 39.3m (129')
long, as wide and high as the Descending Passage and slopes up
at almost precisely the same angle. The lower end the Ascending
Passage is closed by three huge blocks of granite, each about
1.5m (5') long. At the start of the Grand Gallery on the
right-hand side there is a hole cut in the wall (and now blocked
by chicken wire). This is the start of a vertical shaft which
follows an irregular path through the masonry of the pyramid to
join the Descending Passage. Also at the start of the Grand
Gallery there is a Horizontal Passage leading to the "Queen's
Chamber". The passage is 1.1m (3'8") high for most of its
length, but near the chamber there is a step in the floor, after
which the passage is 1.73m (5'8") high. The Queen's Chamber is
exactly half-way between the north and south faces of the
pyramid and measures 5.75m (18'10") north to south, 5.23m
(17'2") east to west and has a pointed roof with an apex 6.23m
(20'5") above the floor. At the eastern end of the chamber there
is a niche 4.67m (15'4") high. The original depth of the niche
was 1.04m (3'5"), but has since been deepened by treasure
hunters. In the north and south walls of the Queen's Chamber
there are shafts, which unlike those in the King's Chamber that
immediately slope upwards, are horizontal for around 2m (6')
before sloping upwards. The horizontal distance was cut in 1872
by a British engineer, Waynman Dixon, who believed on the
analogy of the King's Chamber that such shafts must exist. He
was proved right, but because the shafts are not connected to
the outer faces of the pyramid or the Queen's Chamber, their
purpose is unknown. At the end of one of his shafts, Dixon
discovered a ball of black diorite and a bronze implement of
unknown purpose. Both objects are currently in the British
Museum. The shafts in the Queen's Chamber were explored in 1992
by the German engineer Rudolf Gantenbrink using a crawler robot
of his own design which he called "Upuaut 2". He discovered that
one of the shafts was blocked by limestone "doors" with two
eroded copper "handles". Some years later the National
Geographic Society created a similar robot which drilled a small
hole in the southern door, only to find another larger door
behind it. The northern passage, which was difficult to navigate
because of twists and turns, was also found to be blocked by a
door. The Grand Gallery continues the slope of the Ascending
Passage, but is 8.6m (28') high and 46.68m (153') long. At the
base it is 2.06m (6'9") wide, but after 2.29m (7'6") the blocks
of stone in the walls are corbelled inwards by 7.6 cm (3") on
each side. There are seven of these steps, so at the top the
Grand Gallery is only 1.04m (3'5") wide. It is roofed by slabs
of stone laid at a slightly steeper angle than the floor of the
gallery, so that each stone fits into a slot cut in the top of
the gallery like the teeth of a ratchet. The purpose was to have
each block supported by the wall of the Gallery rather than
resting on the block beneath it, which would have resulted in an
unacceptable cumulative pressure at the lower end of the
Gallery. At the upper end of the Gallery on the right-hand side
there is a hole near the roof which opens into a short tunnel by
which access can be gained to the lowest of the Relieving
Chambers. The other Reliving Chambers were discovered in 1837/8
by Colonel Howard Vyse and J. S. Perring, who dug tunnels
upwards using blasting powder. The floor of the Grand Gallery
consists of a shelf or step on either side, 51 cm (1'8") wide,
leaving a lower ramp 1.04m (3'5") wide between them. In the
shelves there are 54 slots, 27 on each side matched by vertical
and horizontal slots in the walls of the Gallery. These form a
cross shape that rises out of the slot in the shelf. The purpose
of these slots is not known, but the central gutter in the floor
of the Gallery, which is the same width as the Ascending
Passage, has led to speculation that the blocking stones were
stored in the Grand Gallery and the slots held wooden beams to
restrain them from sliding down the passage. This, in turn, has
led to the proposal that originally many more than 3 blocking
stones were intended, to completely fill the Ascending Passage.
At the top of the Grand Gallery there is a step giving onto a
horizontal passage approximately 1.02m (3'4") long, in which can
be detected four slots, three of which were probably intended to
hold granite portcullises. Fragments of granite found by Petrie
in the Descending Passage may have come from these now vanished
doors. The King's Chamber is 10.47m (34'4") from east to west
and 5.234m (17'2") north to south. It has a flat roof 5.974m
(19'1") above the floor. 0.91m (3') above the floor there are
two narrow shafts in the north and south walls (one is now
filled by an extractor fan to try to circulate air in the
pyramid). The purpose of these shafts is not clear: they appear
to be aligned on stars or areas of the northern and southern
skies, but on the other hand one of them follows a dog-leg
course through the masonry so there was not intention to
directly sight stars through them. They did not appear to
contribute to air circulation, so the most likely explanation is
a ritual one associated with the ascension of the king’s spirit.
The King's Chamber is entirely faced with granite, the blocks of
stone being fitted with such precision that it is impossible to
insert a piece of paper between them. Above the roof, which is
formed of nine slabs of stone weighing in total about 400 tons,
are five compartments known as Relieving Chambers. The first
four, like the King's Chamber, have flat roofs formed by the
floor of the chamber above, but the final chamber has a pointed
roof. Vyse suspected the presence of upper chambers when he
found that he could push a long reed through a crack in the
ceiling of the first chamber. From lower to upper, the chambers
are known as "Davidson Chamber", "Wellington Chamber", "Lady
Arbuthnot's Chamber" and "Campbell's Chamber". It is believed
that the compartments were intended to safeguard the King's
Chamber from the possibility of a roof collapsing under the
weight of stone above the Chamber. As the chambers were not
intended to be seen, they were not finished in any way and a few
of the stones still retain mason's marks painted on them. One of
the stones in Campbell's Chamber bears a mark, apparently the
name of a work gang, which incorporates the only reference in
the pyramid to Pharaoh Khufu. The only object in the King's
Chamber is a rectangular granite "sarcophagus", one corner of
which is broken. The sarcophagus is slightly larger than the
Ascending Passage, which indicates that it must have been placed
in the Chamber before the roof was put in place. Unlike the fine
masonry of the walls of the Chamber, the sarcophagus is roughly
finished, with saw marks visible in several places. This is in
contrast with the finely finished and decorated sarcophagi found
in other pyramids of the same period. Petrie suggested that such
a sarcophagus was intended but was lost in the river on the way
north from Aswan and a hurriedly made replacement was used
instead. This ingenious theory does not explain why the
sarcophagus could not have been finished in situ.
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Entrance:
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Today tourists enter the Great Pyramid via the Robbers' Tunnel dug by workmen
employed by Caliph al-Ma'mun around AD 820. The tunnel is cut straight through
the masonry of the pyramid for approximately 27m (90'), then turns sharply left
to encounter the blocking stones in the Ascending Passage. Unable to remove
these stones, the workmen tunnelled up beside them through the softer limestone
of the Pyramid until they reached the Ascending Passage. It is possible to enter
the Descending Passage from this point, but access is usually forbidden. In recent years entrance to the pyramid has been restricted to groups of 100
morning and afternoon. As tickets are highly prized, those wishing to enter must
queue outside the right ticket office for an hour or more before it opens. Under
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Zahi Hawass, photography inside the pyramid is now strictly forbidden.
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King's Chamber
and the Golden Mean:
At the end of the lengthy series of entrance ways leading into
the interior is the structure's main chamber, the King's
Chamber. This granite room was originally 10 × 20 × 11.4 cubits,
or about 5.235 m × 10.47 m × 5.974 m, comprising a double 10 ×
10 cubit square floor, and a height equal to half the double
square's diagonal. Some believed that the height was consistent
with the geometric methods for determining the Golden Ratio φ
(phi) as the height is approximately phi times the width minus
½, while phi can be derived from other dimensions of the
pyramid, but evidence from Petrie’s surveys and later
conclusions drawn by others shows that the circular proportions
were deliberately incorporated into the internal and external
designs of the Great Pyramid by its architects and builders for
symbolic reasons. The so called golden ratio phi simply exists
in the proportions of the architecture as an inadvertent
by-product of the inclusion of the circular proportions. The
reason for the inadvertent inclusion is that phi, the golden
ratio, has a naturally occurring mathematical relation to the
circular ratio pi that is unrelated to the architecture or
geometry, and which was unknown to the pyramid's builders.
Petrie confirmed that the King’s Chamber was a triumph of
Egyptian geometry, the ratio of its length to the circuit of the
side wall being the same as the ratio of 1 to pi, and that the
exterior of the pyramid had been built to the same proportions
Pyramid complex:
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The Great Pyramid is surrounded by the usual complex of
buildings. The Pyramid Temple, which stood on the east side of
the pyramid and measured 52.2m (171') north to south and 40m
(132') east to west, has almost entirely disappeared apart from
the black basalt paving. There are only a few remnants of the
causeway which linked the pyramid with the valley and the
presumed Valley Temple which, if it exists, is buried beneath
the village of Kafr es-Samman. On the south side are the
subsidiary pyramids, popularly known as Queens' Pyramids. Three
remain standing to nearly full height but the fourth was so
ruined that its existence was not suspected until the recent
discovery of the first course of stones and the remains of the
capstone. Herodotus claims that Khufu was a tyrant who
prostituted his daughter to raise money to build the Great
Pyramid. She, however, requested a stone from each customer and
used them to build her smaller pyramid. There is no evidence to
support this tale (though it may reflect an arranged marriage
advantageous for Khufu) and the Queens' Pyramids may not have
housed members of the court. Some have suggested that they
corresponded to the later canopic jars for burial of the royal
viscera - heart, lungs, liver and entrails. Hidden beneath the
paving around the pyramid was the tomb of Queen Hetepheres,
sister-wife of Sneferu and mother of Khufu. Discovered by
accident by the Reisner expedition, the burial was intact,
though the carefully sealed coffin proved to be empty. Reisner
suggests that Hetepheres was originally buried near her
husband's pyramid but the tomb was robbed and the mummy
destroyed. Khufu transferred the burial to his own pyramid
complex, but the priests responsible for the burial did not dare
tell him that his mother's body was missing. There are three
boat-shaped pits around the pyramid, of a size and shape to have
held complete boats, though so shallow that any superstructure
must have been removed or disassembled. It is not clear how
these pits were sealed, as the span is too large for stone
slabs, which may be why they were found empty apart from ropes
and a few fragments of gilded wood found in one pit by Reisner.
However in May, 1954, the Egyptian archaeologist Kamal
el-Mallakh discovered a fourth pit, a long, narrow rectangle,
still covered with slabs of stone weighing up to 15 tons. Inside
were 1224 pieces of wood, the longest 23m (75') long, the
shortest 10 cm (4"). These were entrusted to a native boat
builder, Haj Ahmed Yusuf, who slowly and methodically worked out
how the pieces fit together. The entire process, including
conservation and straightening of the warped wood, took fourteen
years. The result is a spectacular cedar-wood boat 43.6m (143')
long, its timbers held together by ropes. It is not clear how
the boat was made water-tight. Early theories that soaking in
water caused the wood to swell and thus become water-tight did
not prove effective with the modern reconstruction "Horizon of
Min" based on boats found in the Wadi Gawasis excavation and the
reconstructers had recourse to traditional fibre caulking
reinforced by beeswax. There is no sign of such measures on the
Khufu boat, which may simply mean that the boat was never
floated. The name "Djedefre", Khufu's son and successor, is
found on some of the slabs of stone that sealed the pit,
indicating that the boat was put there by Khufu's son. The
reconstructed boat is housed in a special boat-shaped,
air-conditioned museum beside the pyramid. During construction
of this museum, which stands above the boat pit, a second sealed
boat pit was discovered. It was deliberately left unopened in
the hope that future excavation techniques will allow more
information to be recovered, however a hole was drilled in the
sealing stones and air extracted from the pit in the hope of
obtaining information about the ancient atmosphere. However as
the air was found to be identical to modern air it was concluded
that the pit is not hermetically sealed. The Gizeh pyramid
complex, which includes the pyramids of Khufu, Khafre and
Menkaure, is surrounded by a cyclopaean stone wall, outside
which Mark Lehner has discovered the town where the workers on
the pyramids were housed. Among the discoveries are communal
sleeping quarters, bakeries, breweries and kitchens (with
evidence showing that bread and fish were staples of the diet),
a hospital and a cemetery (where some of the skeletons were
found with signs of trauma associated with accidents on a
building site).
Looting:
Although succeeding pyramids were smaller, pyramid building
continued until the end of the Middle Kingdom. However, as
authors Briar and Hobbs claim, "all the pyramids were robbed" by
the New Kingdom, when the construction of royal tombs in a
desert valley, now known as the Valley of the Kings, began.
Joyce Tyldesley states that the Great Pyramid itself "is known
to have been opened and emptied by the Middle Kingdom", before
the Arab caliph Abdullah al-Mamun entered the pyramid around AD
820.
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