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Synthesis about Cheops pyramid building

The aim of this article is to complete and summarize previous written articles dealing with Cheops pyramid building

Version 1.7 - Academia 1 Synthesis about Cheops pyramid building (November 2017) First A. Author, Yves MANEGLIA Index Terms—Cheops, pyramid, building, massive T I. INTRODUCTION he aim of this article is to complete and summarize previous articles dealing with Cheops pyramid building. Regarding actual knowledge we should only take or emit hypothesizes and retain the most likely or the simplest one. II. THE MASSIVE It has been deduced from previous observations that before obtaining a smooth faced pyramid, a step pyramid has been built [1]. We first estimated from Flinders Petrie measurements that for Cheops pyramid, this step pyramid was made of massive measuring about 18.2m in height each [2]. The massive being made of blocks measuring about 60cm in height (less than one Ton) and filled with rubble or less squared blocks [3]. But a look after [7] shows that there could have been twice massive: roughly 9,1m in height which may seems more reasonable and in agreement with the observations made on the step pyramid of Djoser. III. MASSIVE ERECTION In less imposing buildings such as temples, remains of brick ramps have been found (frontal [Flinders Petrie] or lateral [Uvo Hölscher]), giving birth to the theories of ramps, external for the most part. No trace of such ramps for the Giza Pyramids, then if ramps were used, because of their large volume, they must be non-removable. The internal ramps of J.P. Houdin [10] cannot be explained from EDF micro-gravimetric measurements [2], nevertheless, its theory of internal or tunnel ramps remains with M. Michel theory [8], one of the most credible because these ramps are part of the building. That said, ramps of J.P. Houdin are in gentle slope (8°) whereas it has been demonstrated that one must favor steep slopes with lateral staircases [4] (approximately 26° as the great gallery which could have been used for the passage of counterweight or beams and rafters of the king's chamber). Remaining in the logic of the ramps, in another article [5], we have rehabilitated the system of Uvo Hölscher's lateral ramps by imagining lateral or opposite ramps that do not exceed the angle of the slope of the Cheops pyramid, that is, no more temporary and in bricks, but stones embedded in the massive (except on the surface). Figure.1 is a new illustration of these ramps, in zigzag this time. That said, to erect the pyramid massive, it has been shown that with a good distribution of workers it is more efficient to lift the blocks rather than pull them along a slope [4]. Evidently Egyptians knew how to erect high walls, most likely using wooden scaffolding [3], goats, or semi-open wells [4]. IV. PETER C. SUNDT THEORY This theory discussed in [6], makes a compromise between ramps theories and lifting theories. Concerning this aspect, I share same conclusion: use only ramps at lower levels (for the first 45-54m) and lift at upper levels. However, Peter C. Sundt considers only one central elevator which is not enough, because there can’t be more than one load per elevator in contrary to ramps! V. MASSIVE TRANSFORMATION This paragraph completes the article [3] which states that the stones covering the massive and forming the bleachers (from 1 to 3T or more) are passed along the massive but without having specified where? The phenomenon of apothem observed on the Cheops pyramid as well as the laser measurements of Neubeuer [9] show a deficit in stones in the central axis of the faces of the great pyramid [2]. If we conclude to a passage of blocks along walls then we can imagine that stones have passed through the center of the faces and perhaps the corners of the massive, as shown in Figure.2. Stones could also be stored on the bleachers before being put in the deficit parts. Concerning the final coating, whatever its nature (stone or limestone cement [Davidovits]), it would have been set from top to bottom massive for obvious reasons of accessibility. VI. CONCLUSION Cheops pyramid has been built on a hill. It was first built by a superposition of massive, measuring roughly 9,1m in height and probably filled with rubble or stones of one ton maximum. Non removable steep ramps, made of stones, part of the pyramid and not exceeding the angle of the slope could have been used for the first 54m only. For upper levels it is better to lift than pull stones. Retain the most basic mechanical systems that could have been used 4500 years ago: sledges or scaffolds equipped with simple pulleys to pull or lift the blocks along stacked massive or mastabas, use of levers and wedges or goat to arrange the stones of the bleachers. Stones of the bleachers are coming from 2 distinct quarries, and facing stones are put at the end of the process from upper to lower levels. Version 1.7 - Academia I. 2 REFERENCES (Y. MANEGLIA, ACADEMIA) [1] Internal structure of smooth faced pyramids [2] Study of Cheops pyramid degrees [3] Final transformation of Cheops pyramid [4] Soft, normal, strong ramps [5] Uvo Hölscher system renovated [6] Study of Peter C. Sundt 2007 theory [7] Study of Cheops bloc size measurements II. III. OTHER REFERENCES [8] Michel Michel : Une nouvelle hypothèse de construction des pyramides à faces lisses de l'ancien empire, Academia [9] W. Neubauer et al: CIPA 2005 symposium: Combined high-resolution laser scanning and photogrammetrical documentation of the pyramids at Giza [10] Jean-Pierre Houdin, Khufu: The Secrets Behind the Building of the Great Pyramid par, Farid Atiya Press, 2006 ILLUSTRATIONS Figure.1: Uvo Hölscher system, zigzag ramps {1} Figure.3: Mobile tower as wooden scaffolding for raising blocs {2} Figure.2: Bleacher building with ~18,2m massive height Figure.4: Case of 15 massive with ~9,1m height each {1} note: zigzag ramps could have been used for the first 54m height at max, that is first 3 massive, for carrying heaviest blocks. {2} note: The mobile tower is inspired from representation of warfare tower found in Ka-em-heset tomb (IV-V dynasty) and general Antef (XI dynasty) Version 1.7 - Academia Yves MANEGLIA received the M.S. degree from the University of Grenoble in 1995, and the Ph.D. degree from Grenoble INP in 1998, both in microelectronics field. His thesis subject was about the study of electronic defects of MOS gates transistors using the charge pumping technique. After that he did his one-year military service as officer in protection defense. Then he became contractor in microelectronics, working more than 15 years for companies such as IBM, NXP, E2V, STM and CEA. 3