Overview
Unprecedented and complete cover of the topic of polycentric ovals written in a highly readable style for a broad audience
Presents more than 30 constructions and corresponding links to animation videos
Contains a breakthrough study of the geometry of the dome of the church of San Carlo alle Quattro Fontane in Rome
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This is the second edition of the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction, representation and calculation tools. More than 30 basic construction problems are solved, with references to Geogebra animation videos, plus the solution to the Frame Problem and solutions to the Stadium Problem.
A chapter (co-written with Margherita Caputo) is dedicated to totally new hypotheses on the project of Borromini’s oval dome of the church of San Carlo alle Quattro Fontane in Rome. Another one presents the case study of the Colosseum as an example of ovals with eight centres as well as the case study of Perronet’s Neuilly bridge, a half oval with eleven centres.
The primary audience is: architects, graphic designers, industrial designers, architecture historians, civil engineers; moreover, the systematic way in which the book is organised could make it a companion to a textbook on descriptive geometry or on CAD.
Added features in the 2nd edition include: the revised hypothesis on Borromini’s project for the dome of the church of San Carlo alle Quattro Fontane in Rome, an insight into the problem of finding a single equation to represent a four-centre oval, a suggestion for a representation of a four-centre oval using Geogebra, formulas for parameters of ovals with more than 4 centres and the case study of the eleven-centre half-oval arch used to build the XVIII century Neuilly bridge in Paris.
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Authors and Affiliations
About the author
MA in Mathematics and PhD in Operations Research, Angelo A. Mazzotti has been a high school teacher for more than 20 years. In 2011 he went back to research studying Polycentric Curves and Ovals in particular, and started working as a freelance mathematician. Angelo is also a game inventor and a jazz singer.
Bibliographic Information
Book Title: All Sides to an Oval
Book Subtitle: Properties, Parameters and Borromini's Mysterious Construction
Authors: Angelo Alessandro Mazzotti
DOI: https://doi.org/10.1007/978-3-030-28810-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-28809-9Published: 21 November 2019
eBook ISBN: 978-3-030-28810-5Published: 10 November 2019
Edition Number: 2
Number of Pages: XIII, 190
Number of Illustrations: 5 b/w illustrations, 149 illustrations in colour