Hidden Inscriptions in the Laurentian Library

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Reference

Paul L. Rosin and Ralph R. Martin: Hidden Inscriptions in the Laurentian Library. In: Bridges 2003. Pages 37–44

DOI

Abstract

Following the discovery of a series of geometric designs on the floor of the Biblioteca Laurenziana in Florence we analyse the "Medici panel", which consists of a circular rosette containing a set of inscribed elliptical disks, with a view to regenerating the pattern. The geometry is shown to be surprisingly complex. We were able to determine a numerical solution for synthesising the pattern. Alternatively we found analytic solutions for simpler patterns such as inscribed circles or polygonal rosettes.

Extended Abstract

Bibtex

Used References

[1] J.S. Ackerman. The Architecture of Michelangelo. Zwemmer, 1961.

[2] C. Bajaj, T. Garrity, and J. Warren. On the applications of multi-equational resultants. Technical Report CSD-TR-826, Computer Sciences Department, Purdue University, 1988.

[3] B. Buchberger. Grobner bases: An algorithmic method in polynomial ideal theory. In N. K. Bose and D. Reidel, editors, Recent 7'rends in Multidimensional Systems. Dordrecht: Reidel, 1983.

[4] A. Diirer. The Painter's Manual- A Manual of Measurement of Lines, Areas and Solids by Means of Compass and Ruler. Edited and translated by W. L. Strauss, Abaris Books, 1977.

[5] L. Goldscheider. Michelangelo: Paintings, Sculptures, Architecture. Phaidon, 1962.

[6] O. Jones. The Gmmmar of Ornament. Day and Son, 1856.

[7] J. Kappraff. The hidden pavements of Michelangelo's Laurentian Library. Mathematical Intelli- gencer, 21(3):24-29, 1999.

[8] B. Nicholson. Under foot and between the boards in the Laurentian Library. In Thinking the Unthinkable House. (CD ROM), 1997.

[9] B. Nicholson and J. Kappraff. The hidden pavement designs ofthe Laurentian Library. In Nexus II: Architecture and Mathematics, pages 87-98. Edizioni dell'Erba, 1998.

[10] G. Phillips. Rudiments of Curvilinear Design. London, 1839.

[11] K. Williams. Spirals and rosettes in architectural ornament. Nexus Network Journal, 1(1):129-138, 1999.

[12] R. Wittkower. Michelangelo's Biblioteca Laurenziana. In Idea and Image: Studies in the Italian Renaissance, pages 11-71. Thames and Hudson, 1978.


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