All Sides to an Oval: Properties, Parameters, and Borromini's Mysterious Construction
Autor Angelo Alessandro Mazzottien Limba Engleză Paperback – 17 iul 2018
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.
The book is unique and new in its kind: original contributions add up to about 60% of the whole book, the rest being taken from published literature (and mostly from other work by the same author).
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.
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 204.30 lei 3-5 săpt. | |
Springer International Publishing – 17 iul 2018 | 204.30 lei 3-5 săpt. | |
Hardback (1) | 348.88 lei 39-44 zile | |
Springer International Publishing – 21 noi 2019 | 348.88 lei 39-44 zile |
Preț: 204.30 lei
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Specificații
ISBN-13: 9783319818795
ISBN-10: 3319818791
Pagini: 160
Ilustrații: X, 160 p. 129 illus., 126 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.25 kg
Ediția:Softcover reprint of the original 1st ed. 2017
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
ISBN-10: 3319818791
Pagini: 160
Ilustrații: X, 160 p. 129 illus., 126 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.25 kg
Ediția:Softcover reprint of the original 1st ed. 2017
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
Cuprins
Introduction.- Properties of a polycentric oval.-F .- Ruler/Compass constructions of simple ovals.- Ovals with given symmetry axis lines.- Ovals with unknown axis lines.-Inscribing and circumscribing ovals – The frame problem.- The stadium problem and the running track.- Parameter formulas for simple ovals and applications.- Parameter formulas for simple ovals.- Limitations for the frame problem.- Measuring a four-centre oval.- Optimisation problems for ovals.- Ovals with 4n centres.- Remarkable four-centre ovals .-Appendix.-References.-Acknowledgements.
Recenzii
“The work is complete and articulate, placing the most exquisitely mathematical and geometric aspects—which identify the construction of the ovals in relation to the parameters that define them—alongside aesthetic and architectural ones. … We think that the reader, whatever his or her academic background, will enjoy the logical sequence of the reasoning, the drawings, and the clarity of language in this book.” (Roberta Spallone and Marco Vitali, The Mathematical Intelligencer, Vol. 41, 2019)
“The book contains a comprehensive collection of geometrical constructions and mathematical equations on the properties of ovals, the main parameters for managing them, and two case studies of actual built oval forms. … Angelo Mazzotti’s All Sides to an Oval is a fundamental book for anyone working with oval forms from the point of view of the geometric control of the shapes.” (Ana Lo´pez-Mozo, Nexus Network Journal, Vol. 20 (1), April, 2018)
“This interesting book deals with surprising properties of polycentric ovals and applications. … The text and the figures are very readable. The historical remarks and the fields of applications are interesting. The book is enjoyable not only for mathematicians.” (Agota H. Temesvári, zbMATH 1370.51001, 2017)
Notă biografică
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.
Textul de pe ultima copertă
This is 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 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.
The book is unique and new in its kind: original contributions add up to about 60% of the whole book, the rest being taken from published literature (and mostly from other work by the same author).
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.
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.
The book is unique and new in its kind: original contributions add up to about 60% of the whole book, the rest being taken from published literature (and mostly from other work by the same author).
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.
Caracteristici
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 Includes supplementary material: sn.pub/extras