Egyptian pyramid construction techniques

There have been many hypotheses about the Egyptian pyramid construction techniques. These techniques seem to have developed over time; later pyramids were not built the same way as earlier ones. Most of the construction hypotheses are based on the idea that huge stones were carved with copper chisels from stone quarries, and these blocks were then dragged and lifted into position. Disagreements chiefly concern the methods used to move and place the stones.

In addition to the many unresolved arguments about the construction techniques, there have been disagreements as to the kind of workforce used. The Greeks, many years after the event, believed that the pyramids must have been built by slave labor. Archaeologists now believe that the Great Pyramid of Giza (at least) was built by tens of thousands of skilled workers who camped near the pyramids and worked for a salary or as a form of tax payment (levy) until the construction was completed, pointing to workers' cemeteries discovered in 1990 by archaeologists Zahi Hawass and Mark Lehner. For the Middle Kingdom Pyramid of Amenemhat II, there is evidence from the annal stone of the king that foreigners from Palestine were used.^[1]

Historical hypotheses

Third through Fifth Dynasties

During the earliest period, pyramids were constructed wholly of stone. Locally quarried limestone was the material of choice for the main body of these pyramids, while a higher quality of limestone quarried at Tura (near modern Cairo) was used as the outer casing. Granite, quarried near Aswan, was used to construct some architectural elements, including the portcullis (a type of gate) and the roofs and walls of the burial chamber. Occasionally, granite was used in the outer casing as well, such as in the Pyramid of Menkaure. In the early pyramids, the layers of stone (called courses) forming the pyramid body were laid sloping inwards; however, this configuration was found to be less stable than simply stacking the stones horizontally on top of each other. The Bent Pyramid at Dahshur seems to indicate acceptance of a newer technique at a transition between these two building techniques. Its lower section is built of sloping courses, while in its upper section the stones are laid horizontally.

Middle Kingdom and onward

During the Middle Kingdom, pyramid construction techniques changed again. Most pyramids built then were little more than mountains of mud brick encased in a veneer of polished limestone. In several cases, later pyramids were built on top of natural hills to further reduce the volume of material needed in their construction. The materials and methods of construction used in the earliest pyramids have ensured their survival in a generally much better state of preservation than for the pyramid monuments of the later pharaohs.

Construction method hypotheses

Building the pyramids from quarried stone blocks

One of the major problems faced by the early pyramid builders was the need to move huge quantities of stone. The Twelfth Dynasty tomb of Djehutihotep has an illustration of 172 men pulling an alabaster statue of him on a sledge. The statue is estimated to weigh 60 tons and Denys Stocks estimated that 45 workers would be required to start moving a 16,300 kg lubricated block, or eight workers to move a 2,750 kg block.^[2] Dr R H G Parry^[3] has suggested a method for rolling the stones, using a cradle-like machine that had been excavated in various new kingdom temples. Four of those objects could be fitted around a block so it could be rolled easily. Experiments done by the Obayashi Corporation, with concrete blocks 0.8 m square by 1.6 m long and weighing 2.5 tons, showed how 18 men could drag the block over a 1-in-4 incline ramp, at a rate of 18 meters per minute. This idea was previously described by John Bush in 1977,^[4] and is mentioned in the Closing Remarks section of Parry's book. Vitruvius in De architectura^[5] described a similar method for moving irregular weights. It is still not known whether the Egyptians used this method but the experiments indicate it could have worked using stones of this size. Egyptologists generally accept this for the 2.5 ton blocks mostly used but do not agree over the methods used for the 15+ ton and several 70 to 80 ton blocks.

As the stones forming the core of the pyramids were roughly cut, especially in the Great Pyramid, the material used to fill the gaps was another problem. Huge quantities of gypsum and rubble were needed.^[6][7] The filling has almost no binding properties, but it was necessary to stabilize the construction. To make the gypsum mortar, it had to be dehydrated by heating which requires large quantities of wood. According to Egyptologists, the findings of both the 1984 and 1995 David H. Koch Pyramids Radiocarbon Projects^[8][9] may suggest that Egypt had to strip its forest and scrap every bit of wood it had to build the pyramids of Giza and other even earlier 4th Dynasty pyramids. Carbon dating samples from core blocks and other materials revealed that dates from the 1984 study averaged 374 years earlier than currently accepted and the 1995 dating averaging 100–200 years. As suggested by team members, "We thought that it was unlikely that the pyramid builders consistently used centuries-old wood as fuel in preparing mortar. The 1984 results left us with too little data to conclude that the historical chronology of the Old Kingdom was wrong by nearly 400 years, but we considered this at least a possibility". To explain this discrepancy, Egyptologists proposed the "old wood" theory claiming the earlier dates were possibly derived from recycling large amounts of centuries old wood and other earlier materials.^[10]

There is good information concerning the location of the quarries, some of the tools used to cut stone in the quarries, transportation of the stone to the monument, leveling the foundation, and leveling the subsequent tiers of the developing superstructure. Workmen probably used copper chisels, drills, and saws to cut softer stone, such as most of the limestone. The harder stones, such as granite, granodiorite, syenite, and basalt, cannot be cut with copper tools alone; instead they were worked with time-consuming methods like pounding with dolerite, drilling, and sawing with the aid of an abrasive, such as quartz sand.^[11][12] Blocks were transported by sledge likely lubricated by water.^[13][14] Leveling the foundation may have been accomplished by use of water-filled trenches as suggested by Mark Lehner and I.E.S. Edwards or through the use of a crude square level and experienced surveyors.^[15][16]

Thales's method (intercept theorem) to determine the height of Cheops pyramid

The writings of Herodotus and Diodorus Siculus

The unknowns of pyramid construction chiefly center on the question of how the blocks were moved up the superstructure. There is no known accurate historical or archaeological evidence that definitively resolves the question. Therefore, most discussion on construction methods involves functional possibilities that are supported by limited historical and archaeological evidence.

Historical accounts for the construction of the Egyptian pyramids do little to point definitively to methods to lift the blocks; yet most Egyptologists refer to these accounts when discussing this portion of pyramid construction. Thales, according to the philosopher Hieronymus (3rd century BC)^[17] visited the Egyptian pyramids during the 7th century BC and by using the intercept theorem, also known as Thales's theorem, measured their height and thus their volume. The first historical accounts of the construction of these monuments came centuries after the era of pyramid construction, by Herodotus in the 5th century BC and Diodorus Siculus in the 1st century BC. Herodotus's account states:^[18]

This pyramid was made like stairs, which some call steps and others, tiers. When this, its first form, was completed, the workmen used short wooden logs as levers to raise the rest of the stones; they heaved up the blocks from the ground onto the first tier of steps; when the stone had been raised, it was set on another lever that stood on the first tier, and the lever again used to lift it from this tier to the next. It may be that there was a new lever on each tier of steps, or perhaps there was only one lever, quite portable, which they carried up to each tier in turn; I leave this uncertain, as both possibilities were mentioned. But this is certain, that the upper part of the pyramid was finished off first, then the next below it, and last of all the base and the lowest part.

Diodorus Siculus's account states:^[19]

And 'tis said the stone was transported a great distance from Arabia, and that the edifices were raised by means of earthen ramps, since machines for lifting had not yet been invented in those days; and most surprising it is, that although such large structures were raised in an area surrounded by sand, no trace remains of either ramps or the dressing of the stones, so that it seems not the result of the patient labor of men, but rather as if the whole complex were set down entire upon the surrounding sand by some god. Now Egyptians try to make a marvel of these things, alleging that the ramps were made of salt and natron and that, when the river was turned against them, it melted them clean away and obliterated their every trace without the use of human labor. But in truth, it most certainly was not done this way! Rather, the same multitude of workmen who raised the mounds returned the entire mass again to its original place; for they say that three hundred and sixty thousand men were constantly employed in the prosecution of their work, yet the entire edifice was hardly finished at the end of twenty years.

Diodorus Siculus's description of the shipment of the stone from Arabia is correct since the term "Arabia" those days implied the land between the Nile and the Red Sea^[20] where the limestone blocks have been transported from quarries across the river Nile. Both Herodotus's and Diodorus Siculus's writings are known to contain gross errors of fact, and Siculus is routinely accused of borrowing from Herodotus. Herodotus's description of slave labor is one of the most persistent myths of the construction process. Herodotus's accounts are known to be unreliable, it is impossible to select his technique from historical documents as correct. However, these documents do give credit to both the levering and ramp methods.

Different kinds of ramps

Example of a large straight ramp

From left to right: Zig-zagging ramp (Holscher), ramp utilizing the incomplete part of the superstructure (Dieter Arnold), and a spiraling ramp supported by the superstructure (Mark Lehner)

Most Egyptologists acknowledge that ramps are the most tenable of the methods to raise the blocks, yet they acknowledge that it is an incomplete method that must be supplemented by another device. Archaeological evidence for the use of ramps has been found at the Great Pyramid of Giza^[21] and other pyramids. The method most accepted for assisting ramps is levering ^[22] (Lehner 1997: 222). The archaeological record gives evidence of only small ramps and inclined causeways, not something that could have been used to construct even a majority of the monument. To add to the uncertainty, there is considerable evidence demonstrating that non-standardized or ad hoc construction methods were used in pyramid construction (Arnold 1991: 98,^[23] Lehner 1997: 223).

Therefore, there are many proposed ramps and there is a considerable amount of discrepancy regarding what type of ramp was used to build the pyramids.^[24] One of the widely discredited ramping methods is the large straight ramp, and it is routinely discredited on functional grounds for its massive size, lack of archaeological evidence, huge labor cost, and other problems (Arnold 1991: 99, Lehner 1997: 215, Isler 2001: 213^[25]).

Other ramps serve to correct these problems of ramp size, yet either run into critiques of functionality and limited archaeological evidence. There are zig-zagging ramps, straight ramps utilizing the incomplete part of the superstructure (Arnold 1991), spiraling ramps supported by the superstructure and spiraling ramps leaning on the monument as a large accretion are proposed. Mark Lehner speculated that a spiraling ramp, beginning in the stone quarry to the southeast and continuing around the exterior of the pyramid, may have been used. The stone blocks may have been drawn on sleds along the ramps lubricated by water or milk.^[26]

Levering methods are considered to be the most tenable solution to complement ramping methods, partially due to Herodotus's description; and partially to the Shadoof; an irrigation device first depicted in Egypt during the New Kingdom, and found concomitantly with the Old Kingdom in Mesopotamia. In Lehner's (1997: 222) point of view, levers should be employed to lift the top 3% of the material of the superstructure. It is important to note that the top 4% of this material comprises 1/3 of the total height of the monument. In other words, in Lehner's view, levers should be employed to lift a small amount of material and a great deal of vertical height of the monument.

In the milieu of levering methods, there are those that lift the block incrementally, as in repeatedly prying up alternating sides of the block and inserting a wooden or stone shims to gradually move the stone up one course; and there are other methods that use a larger lever to move the block up one course in one lifting procedure. Since the discussion of construction techniques to lift the blocks attempts to resolve a gap in the archaeological and historical record with a plausible functional explanation, the following examples by Isler, Keable, and Hussey-Pailos ^[27] list experimentally tested methods. Isler's method (1985, 1987) is an incremental method and, in the Nova experiment (1992), used wooden shims or cribbing. Isler ^[28] was able to lift a block up one tier in approximately one hour and 30 minutes. Peter Hodges’s and Julian Keable’s^[29] method is similar to Isler's method and instead used small manufactured concrete blocks as shims, wooden pallets, and a pit where their experimental tests were performed. Keable was able to perform his method in approximately 2 minutes. Scott Hussey-Pailos's (2005) method ^[27] uses a simple levering device to lift a block up a course in one movement. This method was tested with materials of less strength than historical analogs (tested with materials weaker than those available in ancient Egypt), a factor of safety of 2, and lifted a 2500-pound block up one course in under a minute. This method is presented as a levering device to work complementary with Mark Lehner's idea of a combined ramp and levering techniques.

Jean-Pierre Houdin's "internal ramp" hypothesis

Houdin's father was an architect who, in 1999, thought up a construction method that, it seemed to him, made more sense than any existing method proposed for the building of pyramids. To develop this hypothesis, Jean-Pierre Houdin, also an architect, gave up his job and set about drawing the first fully functional CAD architectural model of the Great Pyramid.^[30] His/their scheme involves the use of a regular external ramp to build the first 30% of the pyramid, with an "internal ramp" taking stones up beyond that height.^[31] The stones of the external ramp are re-cycled into the upper stories, thus explaining the otherwise puzzling lack of evidence for ramps.

After 4 years working alone, Houdin was joined by a team of engineers from the French 3D software company Dassault Systemes, who used the most modern computer-aided design technology available to further refine and test the hypothesis, making it (according to Houdin) the only one proven to be a viable technique.^[32] In 2006 Houdin announced it in a book: Khufu: The Secrets Behind the Building of the Great Pyramid,^[33] and in 2008 he and Egyptologist Bob Brier wrote a second one: The Secret of the Great Pyramid^[34]

In Houdin's method, each ramp inside the pyramid ended at an open space, a notch temporarily left open in the edge of the construction.(see diagram) This 10-square-meter clear space housed a crane that lifted and rotated each 2.5-ton block, to ready it for eight men to drag up the next internal ramp. There is a notch of sorts in one of the right places, and in 2008 Houdin's co-author Bob Brier, with a National Geographic film crew, entered a previously unremarked chamber that could be the start of one of these internal ramps.^[35] In 1986 a member of the French team (see below) saw a desert fox at this notch, rather as if it had ascended internally.

Houdin's thesis remains unproven and as late as 2007, UCL Egyptologist David Jeffreys described the internal spiral hypothesis as "far-fetched and horribly complicated", while Oxford University's John Baines, declared he was "suspicious of any theory that seeks to explain only how the Great Pyramid was built".^[36] However, one piece of evidence for it has surfaced. In 1986 a French survey team did a micro-gravimetric analysis of the structure. Not included in their final report, but clearly visible in some unpublished plottings, is a spiral feature in the right place.^[37] Houdin believes his theory will soon be proved or disproved by one of a number of well-understood techniques, even infrared photography of the pyramid cooling in the evening.^[38]

Houdin has another hypothesis developed from his architectural model, one that could finally explain the internal "Grand Gallery" chamber that otherwise appears to have little purpose. He believes the gallery acted as a trolley chute/guide for counterbalance weights. It enabled the raising of the five 60-ton granite beams that roof the King's Chamber. Some observers claim to be able to see wear-marks in the right places, and Houdin postulates that other puzzling features are actually fixings for wear-strips. Houdin and Brier and the Dassault team are already credited with proving for the first time that cracks in beams appeared during construction, were examined and tested at the time and declared relatively harmless.

Limestone concrete hypothesis

Materials scientist Joseph Davidovits has claimed that the blocks of the pyramid are not carved stone, but mostly a form of limestone concrete and that they were "cast" as with modern concrete.^[39] According to this hypothesis, soft limestone with a high kaolinite content was quarried in the wadi on the south of the Giza Plateau. The limestone was then dissolved in large, Nile-fed pools until it became a watery slurry. Lime (found in the ash of cooking fires) and natron (also used by the Egyptians in mummification) were mixed in. The pools were then left to evaporate, leaving behind a moist, clay-like mixture. This wet "concrete" would be carried to the construction site where it would be packed into reusable wooden moulds and in a few days would undergo a chemical reaction similar to the curing of concrete. New blocks, he suggests, could be cast in place, on top of and pressed against the old blocks. Proof-of-concept tests using similar compounds were carried out at a geopolymer institute in northern France and it was found that a crew of five to ten, working with simple hand tools, could agglomerate a structure of five, 1.3 to 4.5 ton blocks in a couple of weeks.^[40] He also claims that the Famine Stele, along with other hieroglyphic texts, describe the technology of stone agglomeration.

Davidovits's method is not accepted by the academic mainstream. His method does not explain the granite stones, weighing well over 10 tons, above the King's Chamber, which he agrees were carved. Geologists have carefully scrutinized Davidovits's suggested technique and concluded his concrete came from natural limestone quarried in the Mokattam Formation.^[41] However, Davidovits alleges that the bulk of the soft limestone came from the same natural Mokkatam Formation quarries found by geologists, and insists that ancient Egyptians used the soft marly layer instead of the hard layer to re-agglomerate stones.

Davidovits's hypothesis recently gained support from Michel Barsoum, a materials science researcher.^[42] Michel Barsoum and his colleagues at Drexel University published their findings supporting Davidovits's hypothesis in the Journal of the American Ceramic Society in 2006. Utilizing scanning electron microscopy, they discovered in samples of the limestone pyramid blocks mineral compounds and air bubbles that do not occur in natural limestone.^[43]

Dipayan Jana, a petrographer, made a presentation to the ICMA (International Cement Microscopy Association) in 2007^[44] and gave a paper^[45] in which he discusses Davidovits's and Barsoum's work and concludes "we are far from accepting even as a remote possibility a 'man-made' origin of pyramid stones."

NOVA pyramid building experiment

In 1997 Mark Lehner and Roger Hopkins, a stonemason from Sudbury, Massachusetts, teamed up to conduct a pyramid-building experiment for a NOVA television episode. They built a pyramid 6 metres (20 ft) high by 9 metres (30 ft) wide, consisting of a total of 162 cubic metres (5,700 cu ft), or about 405 tons, it was made out of 186 stones weighing an average of 2.2 tons each. They had a total of just over 3 weeks to build it, due to their filming schedule. 12 quarrymen carved 186 stones in 22 days. They were able to erect it using 44 men. They used iron hammers, chisels and levers (this is a modern short-cut, the ancient Egyptians were limited to using copper and later bronze and wood).^[46] But they did experiments with copper tools, noting that they were adequate for the job in hand, only provided that additional manpower was available to constantly re-sharpen the ancient tools. They estimated they would have needed around 20 extra men for this maintenance. Another short-cut taken was the use of a front end loader or fork lift truck. However, modern machinery was not and could not be used to finish the construction. They used levers to lift the capstone to a height of 20 feet (6.1 m). Four or five men were able to use levers on stones less than 1 ton to flip them over and transport them by rolling them. For the larger stones, they had to tow them. They found that by putting the stones on wooden sledges and sliding the sledges on wooden tracks, they were able to tow a 2-ton stone with 12 to 20 men. The wood for these sledges and tracks would have to have been imported from Lebanon at great cost since there was little, if any, wood in ancient Egypt. While the builders failed to duplicate the precise jointing created by the ancient Egyptians, Hopkins was confident this could have been achieved with more practice.^[47][48]

Great Pyramid

Some research suggests alternate estimates to the accepted workforce size. For instance, mathematician Kurt Mendelssohn calculated that the workforce may have been 50,000 men at most, while Ludwig Borchardt and Louis Croon placed the number at 36,000. According to Miroslav Verner, a workforce of no more than 30,000 was needed in the Great Pyramid's construction. Evidence suggests that around 5,000 were permanent workers on salaries with the balance working three- or four-month shifts in lieu of taxes while receiving subsistence "wages" of ten loaves of bread and a jug of beer per day. Zahi Hawass believes that the majority of workers may have been volunteers. It is estimated that only 4,000 of the total workforce were labourers who quarried the stone, hauled blocks to the pyramid and set the blocks in place. The vast majority of the workforce provided support services such as scribes, toolmakers and other backup services. The tombs of supervisors contain inscriptions regarding the organisation of the workforce. There were two crews of approximately 2,000 workers sub-divided into named gangs of 1,000. The gangs were divided into five phyles of 200 which were in turn split into groups of around 20 workers grouped according to their skills, with each group having their own project leader and a specific task.^[49][50]

A construction management study (testing) carried out by the firm Daniel, Mann, Johnson, & Mendenhall in association with Mark Lehner, and other Egyptologists, estimates that the total project required an average workforce of 14,567 people and a peak workforce of 40,000. Without the use of pulleys, wheels, or iron tools, they used critical path analysis to suggest the Great Pyramid was completed from start to finish in approximately 10 years.^[51] Their study estimates that the number of blocks used in construction was between 2 and 2.8 million (an average of 2.4 million), but settles on a reduced finished total of 2 million after subtracting the estimated volume of the hollow spaces of the chambers and galleries.^[51] Most sources agree on this number of blocks somewhere above 2.3 million.^[52] Their calculations suggest the workforce could have sustained a rate of 180 blocks per hour (3 blocks/minute) with ten-hour work days for putting each individual block in place. They derived these estimates from modern third-world construction projects that did not use modern machinery, but conclude it is still unknown exactly how the Great Pyramid was built.^[51] As Dr. Craig Smith of the team points out:

The logistics of construction at the Giza site are staggering when you think that the ancient Egyptians had no pulleys, no wheels, and no iron tools. Yet, the dimensions of the pyramid are extremely accurate and the site was leveled within a fraction of an inch over the entire 13.1-acre base. This is comparable to the accuracy possible with modern construction methods and laser leveling. That's astounding. With their 'rudimentary tools,' the pyramid builders of ancient Egypt were about as accurate as we are today with 20th-century technology.^[53]

Average core blocks of the Great Pyramid weigh about 1.5 tons each, and the granite blocks used to roof the burial chambers are estimated to weigh up to 80 tons each.

The entire Giza Plateau is believed to have been constructed over the reign of five pharaohs in less than a hundred years, which generally includes: the Great Pyramid, Khafre and Menkuare's pyramids, the Great Sphinx, the Sphinx and Valley Temples, 35 boat pits cut out of solid bedrock, and several causeways, as well as paving nearly the entire plateau with large stones. This does not include Khafre's son Djedefre's northern pyramid, Abu Rawash, which would have also been built during this time frame of 100 years. In the hundred years prior to Giza—beginning with Djoser, who ruled from 2687–2667 BC, and amongst dozens of other temples, smaller pyramids, and general construction projects—four other massive pyramids were built: the Step pyramid of Saqqara (believed to be the first Egyptian pyramid), the pyramid of Meidum, the Bent Pyramid, and the Red Pyramid. Also during this period (between 2686 and 2498 BC) the Sadd el-Kafara dam, which used an estimated 100,000 cubic meters of rock and rubble, was built.^[54]

See also

• List of megalithic sites
• Theories about Stonehenge
• Seven wonders of the world
• The Herodotus Machine

References

External links

• How to Build a Pyramid, Archaeology Magazine, May/June 2007
• Engineering the Pyramids - Materials Science and Engineering @ Drexel University
• Rope pull hypothesis - alternative hypothesis by Heribert Illig and Franz Löhner
• Collection of alternative construction essays
• Did the Great Pyramid Have an Elevator? The Structural Engineer, April 2009
• The main problems / drawbacks of all ramp systems
• 3D Unveils Great Pyramid's Mystery - illustrates hypothesis of Houdin and Brier.

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