EVOLUTION OF TEMPLE ELEVATIONAL FORM WITH SQUARE CIRCLE METHOD: LAKSHMAN TEMPLE IN SIRPUR

Mamta Dewangan, Vandana Agrawal

Abstract


One of the fundamental methods for shaping the constructional geometry of any building is the use of basic shapes: circles and squares. The circle represents vitality or energy, while the square represents strength. In world history, the concept of geometry traces its origins to construction in Egypt and Babylonia, where proportional systems were described through mathematical equations. They later became known as the Pythagorean Theorem, named after Pythagoras. In Ancient India, the concept of geometry starts with the construction of altars for Vedic sacrifices, as per the instructions of the Śulbasūtras. This involved creating circles and squares, converting squares to circles and vice versa, resulting in altars of various shapes and proportionate systems. The intersection of these basic shapes, the square and the circle, is the key to constructional building geometry. For instance, Vesica Piscis is a geometrical element derived from the circle-circle intersection. It has been applied by researchers to examine the geometry of both ancient and modern buildings. Similarly, the Square-Circle Sequence (SCS) is a method derived from the square-circle intersection. Gandotra (2011) used it to study the constructional geometry of the Hindu temples in North India (Nāgara temples). Meister (1985) also applied the square-circle intersection geometric constructional method to define the proportionate system of the Hindu temples in India. Finally, this study attempts to correlate these types of constructional geometry in the evolution of elevational form of Nāgara temples through Lakshman temple in Sirpur. It determines that the building’s elevational form may be derived from the basic shapes of the circle and the square.

Keywords


Elevational form, Śulbasūtras, Vesica Piscis, square-circle sequence, circle-circle intersection, square-circle intersection, Lakshman Temple in Sirpur.

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References


Acharya, P. K. (1994). Architecture of Mansara. New Delhi: Munshiram Manoharlal Publishers Pvt Ltd. Pp. 23–32.

Barrallo, J., González-Quintial, F., and Sánchez-Beitia, S. (2015). An introduction to the Vesica Piscis, the Reuleaux Triangle and related geometric constructions in modern architecture. Nexus Network Journal, Vol. 17, Issue 2, pp. 671–684. DOI: 10.1007/s00004-015-0253-9.

Cunningham, A. (1884). Report of a tour in the Central Provinces and lower Gangetic Doab in 1881-82 (Vol. 17). Calcutta: Office of the Superintendent of Government printing, 160 p.

Dagens, B. (1985). Mayamata: An Indian treatise on housing architecture and iconography. New Delhi: Sitaram Bhartia Institute of Scientific Research, 389 p.

Fletcher, R. (2004). Musings on the Vesica Piscis. Nexus Network Journal, Vol. 6, Issue 2, pp. 95–110. DOI: 10.1007/s00004-004-0021-8.

Gandotra, A. (2011). Indian temple architecture: Analysis of plans, elevations and roof forms. Vol. 1. Gurgaon: Shubhi Publications, 58 p.

Gandotra, A. (2011). Indian temple architecture: Analysis of plans, elevations and roof forms. Vol. 2. Gurgaon: Shubhi Publications, 75 p.

Gandotra, A. (2011). Indian temple architecture: Analysis of plans, elevations and roof forms. Vol. 3. Gurgaon: Shubhi Publications, 145 p.

Harding, P. E. (2004). The proportions of sacred space: South Asian temple geometry and the Durga Temple of Aihole. MSc Thesis in Arts. Ohio State University.

Henderson, D. W. (2000). Square roots in the Sulbasutra. In: Gorini, C. A. (ed.) Geometry at work, Papers in Applied Geometry, MAA NOTES. Washington, DC: Mathematical Association of America, No. 53, pp. 39–45.

Joseph, G. G. (1997). What is a square root? A study of geometrical representation in different mathematical traditions. Mathematics in School, Vol. 26, No. 3, pp. 4–9.

Meister, M. W. (1981–1982). Analysis of temple plans: Indor. Artibus Asiae, Vol. 43, No. 4, pp. 302–320. DOI: 10.2307/3249846. Meister, M. W. (1985). Measurement and proportion in Hindu temple architecture. InterdisciplinaryScience Reviews, Vol. 10, Issue 3, pp. 248–258. DOI: 10.1179/isr.1985.10.3.248.

Price, J. F. (2000). Applied Geometry of the Sulba Sutras. In: Gorini, C. A. (ed.) Geometry at work, Papers in Applied Geometry, MAA NOTES. Washington, DC: Mathematical Association of America, No. 53, 46–55.

Rian, I. M., Park, J.-H., Ahn, H. U., and Chang, D. (2007). Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho. Building and Environment, Vol. 42, Issue 12, pp. 4093–4107. DOI: 10.1016/j.buildenv.2007.01.028.

Seidenberg, A. (1961). The ritual origin of geometry. Archive for History of Exact Sciences, Vol. 1, Issue 5. pp. 488–527. DOI: 10.1007/BF00327767.

Sen, S. N. and Bag, A. K. (1983). The Sulbasutras of Baudhayana, Apastamba, Katyayana and Manava. New Delhi: Indian National Science Academy, 293 p.

Sinha, S., Yadav, N., Vahia, M. N. (2011). In Square Circle: geometric knowledge of the Indus civilization. In: Sujatha, R., Ramaswamy, H. N., and Yogananda, C. S. (eds.) Math Unlimited: Essays in Mathematics. Boca Raton: CRC Press, pp. 451–462. DOI: 10.48550/arXiv.1112.6232.

Sparavigna, A. C. and Baldi, M. M. (2016). A mathematical study of a symbol: the Vesica Piscis of sacred geometry. PHILICA, Article 560.

Srinivasan, U. (2010). Approaches to the use of geometry in architecture: A study of the works of Andrea Palladio, Frank Lloyd Wright, and Frank Gehry. MSc Thesis in Architecture. Texas A&M University.


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