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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Williams, Kim. Architecture and Mathematics from Antiquity to the Future : Volume II: The 1500s to the Future. Cham : Springer International Publishing, ©2015 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Kim Williams; Michael J Ostwald |

ISBN: | 9783319001432 3319001434 |

OCLC Number: | 908091609 |

Notes: | Setting an Acceptable Margin of Error. |

Description: | 1 online resource (680 pages) |

Contents: | Preface to Architecture and Mathematics from Antiquity to the Future; Contents for Volume I; Contents for Volume II; Contributors to Volume II; Chapter 48: The Revolutionary, The Reactionary and The Revivalist: Architecture and Mathematics After 1500; Premise; Tracing Trajectories; This Present Work in Context; Part VII: Theories of Representation; Part VIII: Architecture from 1500ad to 1800ad; Part IX: Architecture from 1800 to 2000; Part X: Contemporary Approaches to Design and Analysis; Part XI: Theories and Applications of Computing in Architecture; Conclusion; References. Part VII: Theories of RepresentationChapter 49: Architecture, Mathematics and Theology in Raphaelś Paintings; Introduction; La Dolce Prospettiva; Lo Sposalizio; Theology in Lo Sposalizio; References; Chapter 50: Raphael and the Pantheonś Interior: A Pivotal Moment in Architectural Representation; Appendix: Was Uffizi 164 A.r. the Primary Drawing? A Summary of the Arguments and Another Suggested Resolution; References; Chapter 51: Design and Perspective Construction: Why Is the Chalice the Shape It Is?; Introduction; The Subject Matter of the Drawing; Physical Aspects of the Drawing. Building the DrawingThe Perspective Construction: the Layout; The Perspective Construction in Detail; The Design: the Plan and the Elevation; The Practicalities of Creating the Drawing; Thoughts on Its Attribution; The Drawing in Context; References; Chapter 52: Perspective in António Rodriguesś Tratado de Arquitectura; Introduction; The Tratado de Arquitecture and Perspective in Sixteenth-Century Portugal; Rodriguesś First Rule of Perspective; Rodriguesś Liuro de Perspectiva in Context; Rodriguesś Rule of Perspective and Centrally-Planned Architecture; References. Part VIII: 1500 a.d.-1900 a.d. Chapter 53: Ottoman Architecture: Relationships between Architectural Design and Mathematics in Sinanś Works; Introduction; The Classical Period of Ottoman Architecture; Proportional Relationships in the Classical Period of Ottoman Architecture; The Rustem Pasha Mosque; The Süleymaniye Mosque; Conclusion; References; Chapter 54: The Mathematics of Palladioś Villas; Introduction; Geometry; Proportion; Symmetry; Conclusion; References; Chapter 55: Golden Proportions in a Great House: Palladioś Villa Emo; Introduction; Natural Harmony; Harmony in Number. Symmetry and ProportionIncommensurable Proportions; The Golden Section; Golden Proportions at Villa Emo; Total Harmony; References; Chapter 56: The Hidden Pavement Designs of the Laurentian Library; Introduction; The Laurentian Library; Interpreting the Pavement; The Medici Panel; The Mask Panel; Conclusion; References; Chapter 57: Measuring up to Michelangelo: A Methodology; Introduction; Description of the Surveying Method; Façade Equations; The Setup in the Library; Uncertainty in Coordinates; Uncertainty in Dimensions; Key Dimensions; Uncertainty in Ratios. |

### Abstract:

Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines a.

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