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The Development of the Geometric Concept of Relief Perspective

Abstract

The aim of this paper is to give an overview of the history of relief perspective from its origins in Palladio’s century so as to position the mathematical concept of relief perspective and its development in the context of intellectual history and the philosophy of science. While this concept emerged in art as bas-reliefs and in scenography, its mathematical formulation occurred only in the nineteenth century. Sixteenth-century scenographical perspective, in particular, planted an important seed for the later mathematical concept: here the example is Vicenza’s Teatro Olimpico by Andrea Palladio—a project that was actually built and is extant today. The main stages of the development of relief perspective are analyzed herein via the reconstruction of approaches taken by notable authors such as Breysig, Poudra, Staudigl, and Burmester. Studying this concept historically offers us a deeper comprehension of the intellectual history of projective geometry and its connection to scenography and architecture.

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Acknowledgements

My first encounter with relief perspective occurred during my studies at the University of Stuttgart with geometry professor Hermann Schaal. Much later, after experiments with our architecture students at the Technische Universität Kaiserslautern, beginning with the All School Charrette “Stirling Hoch3” (Leopold 2014a) in 2013, deeper research and wider applications could be undertaken during my visiting professorship at IUAV in Venice on the invitation of Professor Agostino De Rosa. My thanks to Amyrose McCue Gill of TextFormations for her editorial assistance.

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Leopold, C. The Development of the Geometric Concept of Relief Perspective. Nexus Netw J 21, 227–252 (2019). https://doi.org/10.1007/s00004-019-00448-1

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Keywords

  • Perspective
  • Scenography
  • Projective geometry
  • Representation of space
  • Relief perspective