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The Fibonacci Sequence and the Palazzo della Signoria Palazzo della Signoria (Florence) in Florence

In: Architecture and Mathematics from Antiquity to the Future

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  • Maria Teresa Bartoli

    (Università degli studi di Firenze, Dipartimento di Architettura)

Abstract

The Fibonacci sequence provided precise rules for the design of the plan of one of the most important buildings of Gothic architecture: the Palazzo della Signoria in Florence, later widened and transformed into Palazzo Vecchio. The Fibonacci sequence (a sequence of numbers, each of which is the sum of the two preceding numbers) and the Lucas sequence that follows it give couples of numbers that can describe Fibonacci rectangles. Such rectangles can be divided into two parts: a square and a new Fibonacci rectangle; moreover, by adding a square to its longest side, it can generate another rectangle. These generative features are consistent with the requirements of a medieval city hall: on the ground floor, to have a spatious room for a large number of people; on upper floors, to divide the large room into smaller rooms with the same ratios. In Palazzo della Signoria, plan dimensions and proportions are taken exactly from numbers of the sequence. Further examples are found in the tower and in the courtyard.

Suggested Citation

  • Maria Teresa Bartoli, 2015. "The Fibonacci Sequence and the Palazzo della Signoria Palazzo della Signoria (Florence) in Florence," Springer Books, in: Kim Williams & Michael J. Ostwald (ed.), Architecture and Mathematics from Antiquity to the Future, edition 127, chapter 0, pages 497-507, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-00137-1_34
    DOI: 10.1007/978-3-319-00137-1_34
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