PYRAMID OF CHEOPS: SIZES AND PROPORTIONS
Abstract
The paper presents a comparison of the most widespread hypotheses describing the principles of formation of the Pyramid of Cheops. A scientific guess based on a golden ratio is investigated in this paper. Herodotus's text about the fact that the lateral side of the Pyramid is equal to its height square, unambiguously proves the statement that the golden ratio is present in the Pyramid geometry. However, the existence of irrational golden ratio proportion raises doubts in relation to the level of development of mathematics in Ancient Egypt. The paper gives the different interpretation of Herodotus's text based on the use of the perfect square. Also, a new metrological interpretation of the Pyramid dimensions is suggested that gives the possibility of modifying its formation principles.
About the Authors
ANDREI V. Radzyukevich
Novosibirsk State Academy of Architecture and Fine Arts
Russian Federation
Russian Federation
YURII G. Marchenko
Novosibirsk State Academy of Architecture and Fine Arts
Russian Federation
Russian Federation
References
1. Stratanovskii G.A. Gerodot. Istoriya [Herodotus, History]. In 9 books. Leningrad : Nauka Publ., 1972. 600 p. (transl. from Gr.)
2. Mordukhai-Boltovskii D.D. Nachala Evklida [Euclid's Elements]. In 3 vol. Moscow : GTTI Publ., 1949. 50 p. (transl. from Gr.)
3. Shchetnikov A.I. Zolotoe sechenie, kvadratnye korni i proportsii piramid v Gize [Golden ratio, square roots and proportions of pyramids in Giza]. Available at : http://www.nsu.ru/classics/pythagoras/Pyramis.pdf (rus)
4. Siliotti A. Egipet. Piramidy (Atlas chudes sveta) [Guide to the Pyramids of Egypt]. Moscow. 1999. 166 p. (transl. from It.)
5. Stecchini L.C. A History of Measures. The Dimensions of the Great Pyramid. Available at : http://www.metrum.org/measures/dimensions.htm
6. Bolotin N.I. Formirovanie i razvitie mer, ikh naznachenie dlya issledovaniya pamyatnikov material'noi kul'tury [Formation and development of measures, their purpose in study of cultural heritage. PhD thesis]. Novosibirsk. 1975. 354 p. (rus)
7. Nepomnyashchii N.N. Po sledam velikanov [In the footsteps of giants]. Moscow : AST Publ., 1998. 512 p. (rus)
8. Vitruvius M. Desyat' knig ob arkhitekture [Ten Books on Architecture]. Moscow : 2003. 205 p. (transl. from Lat.)
9. Thomson J.O. Istoriya drevnei geografii [History of Ancient Geography]. Moscow : 1953. 590 p. (transl. from Engl.)
10. Corinna R. Architecture and mathematics in Ancient Egypt. Cambridge university press. 2003. 280 p.
11. Polyakov E.N. Obraz vselennoi v kul'tovom zodchestve drevnego mira [Image of the Universe in cult architecture of the ancient world]. TSUAB Publ., 2009. 434 p. (rus)
12. Belyanin V.S. Vladel li Platon kodom zolotoi proportsii? Analiz mifa [Had Plato the code of the golden ratio? Analysis of the myth]. Available at : http://www.a3d.ru/archi/stat/no_mif.php (rus)
13. Radzyukevich A.V. Zolotoi blesk modulei Parfenona [Gold gloss of Parthenon's modules]. Arkhitektura, prilozhenie k Stroitel'noi gazete. 1989. No. 14. 195 p. (rus)
14. Herz-Fischler R. A mathematical history of the golden number. Mineola, NY, 1998. 180 p.
15. Scamozzi V. Architettura universale. Venezia. 1694. 287 p.
16. Radzyukevich A.V. Kriticheskii analiz issledovaniya Adol'fa Tseizinga – osnovopolozhnika gipotezy ‘zolotogo secheniya’ [The critical analysis of research by Adolf Zeising – the founder of golden ratio hypothesis]. AMIT 4. 2014. Available at : http://marhi.ru/AMIT/2014/4kvart14/radzukevich/radzukevich.pdf (rus)
17. Radzyukevich A.V. K voprosu o nauchnom izuchenii proportsii v arkhitekture i iskusstve [Scientific study of proportions in architecture and art]. Polzunovskii Vestnik. No. 1. 2014. Pp. 159–164. Available at : http://elib.altstu.ru/elib/books/Files/pv2014_01/pdf/159radzukevich.pdf (rus)
Review
For citations:
Radzyukevich A.V., Marchenko Yu.G. PYRAMID OF CHEOPS: SIZES AND PROPORTIONS. Vestnik of Tomsk state university of architecture and building. 2015;(1):9-22. (In Russ.)
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