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| Paper: |
Beyond the Cosmological: Numerical Scenarios underneath Ancient Annular Architectural Structures |
| Volume: |
409, Cosmology Across Cultures |
| Page: |
380 |
| Authors: |
Ranieri, M |
| Abstract: |
“Cecí est la regle du carré et du cercle. Pour toutes choses, la circonférence (tcheou) est en usage, et les figures circulaire et carrée sont employées. L’officier dit ta-tsiang (grand charpentier, titre du Tcheou-li) prend ses mesures. Le compass et le régle sont apprêtés. Tantot on rompt le carré et on fait un cercle. Tantot on brise le cercle et on fait un carré. Au milieu d’un carré, quand on fait un cercle, on appelle cette figure cercle-carré. Au milieu d’un cercle, quand on fait un carré, on appelle cette figure carré-cercle.” (Tcheou-Pei-Souan-King, book one, trad. E.Biot, Journal Asiatique, Juin 1841 p. 614)
Circles and squares, as geometrical representations of the cosmos, are frequent in ancient cultures, mainly with the earth represented by the square and the sky by the circle. Quite many are the circular or circle-and-square architectures of the past that are to be interpreted as related to the cosmologies of the cultures to which they belong. In this paper we focus on those relevant annular geometries (CQC) where the square inscribable into the external circumference in turn perfectly circumscribes the internal one. Beyond the possible cosmological significances, a CQC geometry bears underneath a strict numerical structure that can be put in relation to the length-units used by the builders. Results are presented of CAD (Computer Aided Drawing) analyses performed on the plans of ancient structures where the CQC geometry was suspected to exist. A large repertory of such structures has been found, from Nuragic Sardinia to Mesoamerica including Minoans, Greeks, Romans and others. In many cases the found length-units coincide with known ancient units. The large variety presented at CAC 2000 cannot be shown in this paper for reasons of space and only a smaller but significant selection is presented. |
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