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Daniele Barbaro and the University of PadovaNon-Uniform Polyhedra Described by Daniele Barbaro

Daniele Barbaro and the University of Padova: Non-Uniform Polyhedra Described by Daniele Barbaro [In La Terza Parte of the treatise La pratica della perspettiva, published in 1568, Daniele Barbaro describes 39 solid bodies between Chapters I and XXXIV through edge unfolding, orthographic projections and/or perspective drawings, some of these in positions that are not the easiest to draw. Barbaro begins with a triangular pyramid and the Platonic Solids before describing the irregular bodies that are born from the regular bodies that he obtains from successive truncations of other bodies. Besides eleven Archimedeans, Barbaro obtains nine convex non-uniform polyhedra most of which are found nowhere before La pratica della perspettiva and are currently identifiable as symmetrohedra, near-miss Johnson Solids and even a Goldberg polyhedra, between others. We will analyse how these and other non-uniform polyhedra were conceived and illustrate them to unveil what Barbaro had in mind and the depth of Barbaro’s research. In spite of the imprecisions recognizable in some of the results, the originality and complexity of Barbaro’s systematic studies on solid geometry deserve our reanalysis, not only because they are intriguingly accurate for his time but because there is still much to learn from his scientific creativity.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Daniele Barbaro and the University of PadovaNon-Uniform Polyhedra Described by Daniele Barbaro

Part of the Trends in the History of Science Book Series
Editors: Monteleone, Cosimo; Williams, Kim
Viana, Vera
Daniele Barbaro and the University of Padova — May 31, 2023
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Publisher
Springer Nature Switzerland
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
ISBN
978-3-031-29482-2
Pages
109 –137
DOI
10.1007/978-3-031-29483-9_6
Publisher site
See Chapter on Publisher Site

Abstract

[In La Terza Parte of the treatise La pratica della perspettiva, published in 1568, Daniele Barbaro describes 39 solid bodies between Chapters I and XXXIV through edge unfolding, orthographic projections and/or perspective drawings, some of these in positions that are not the easiest to draw. Barbaro begins with a triangular pyramid and the Platonic Solids before describing the irregular bodies that are born from the regular bodies that he obtains from successive truncations of other bodies. Besides eleven Archimedeans, Barbaro obtains nine convex non-uniform polyhedra most of which are found nowhere before La pratica della perspettiva and are currently identifiable as symmetrohedra, near-miss Johnson Solids and even a Goldberg polyhedra, between others. We will analyse how these and other non-uniform polyhedra were conceived and illustrate them to unveil what Barbaro had in mind and the depth of Barbaro’s research. In spite of the imprecisions recognizable in some of the results, the originality and complexity of Barbaro’s systematic studies on solid geometry deserve our reanalysis, not only because they are intriguingly accurate for his time but because there is still much to learn from his scientific creativity.]

Published: May 31, 2023

Keywords: Daniele Barbaro; Polyhedral geometry; History of Polyhedra; Non-uniform Polyhedra

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