Details

Autor(en) / Beteiligte

• Williams, Kim[Herausgeber]

Titel

Nexus Network Journal 14,2 [electronic resource]

Auflage

1st ed. 2012

Ort / Verlag

Basel : Springer Basel

Erscheinungsjahr

2012

Link zum Volltext

• SpringerLink Books - AutoHoldings

Beschreibungen/Notizen

• Description based upon print version of record.
• Includes bibliographical references at the end of each chapters.
• Cover; Title Page; Table of Contents; Letter from the Editor; Persian Architecture and Mathematics; About the author; Letter from the Guest Editor; Persian Architecture and Mathematics: An Overview; 1 Persian architecture and mathematics: an overview; 2 Mathematics: an intellectual and practical vehicle; 3 The scope of this issue; 4 Glossary; About the guest editor; Persian Architt:et:ure and Mathematics; Touring Persia with a Guide Named ... Hermann Weyl; Introduction; From harmony to symmetry; Perfect symmetry or not?; Translations and rotations; Polygonal symmetries
• Rotation without reflectionOrnamental symmetries; Scale changes; From geometry to abstract groups; Conclusion; Appendix: About groups; A (very) brief history of (the birth of) groups; What is a (symmetry) group?; Building Cayley's tables: the square group; Building Cayley's tables: the rectangle group; Polygonal symmetries and associated groups; Acknowledgments; References; Internet references; About the author; A Study of Practical Geometry in Sassanid Stucco Ornament in Ancient Persia; 1 Introduction; 2 Methods; 3 Sassanid architecture and ornament; 4 Geometrical analysis of Sassanid stucco
• 4.1 Frieze groups4.2 Wallpaper Groups; 5 Results; 6 Discussion; 7 Conclusion; Notes; References; About the author; The Decagonal Tomb Tower at Maragha and Its Architectural Context: Lines of Mathematical Thought; Introduction: Decagonal intentionality; Dating of Gonbad-e Qabud and its cultural environment; Enumeration of the Gonbad-e Qabud, its inscriptions and its decoration; Expressions of geometry in Iran in the eleventh and twelfth centuries; Cultural significance of funerary architecture in Iran; Geometric forms of expression and contemporary mathematical thinking; Conclusion
• AcknowledgmentsNotes; References; About the author; Significance of Conical and Polyhedral Domes in Persia and Surrounding Areas: Morphology, Typologies and Geometric Characteristics; 1 Introduction; 2 Conical and polyhedral domes; 2.1 Terminology; 2. 2 Origins and types; 3 Common morphological features of the conical and polyhedral domes; 4 Common typological styles of the conical and polyhedral domes; 5 Conclusion; Acknowledgments; References; About the authors; Revisiting the Squinch: From Squaring the Circle to Circling the Square; Introduction
• The Friday Mosque of Isfahan: A millennium of squaring the circleFrom Chamber to Vault; Horizontal plan: interlocking geometrical patterns; Vertical elevation: the arch, the beginning of architecture; The transition to three dimensions; The squinch, from sensible reality to intellectual ideality; Notes; References; About the author; From Sultaniyeh to Tashkent Scrolls: Euclidean Constructions of Two Nine and Twelve-Pointed Interlocking Star Polygon Designs; Introduction; Creating geometric Islamic patterns
• Constructing star polygon designs inscribed within regular (or approximately regular) polygons
• This volulme features eight original papers dedicated to the theme “Persian Architecture and Mathematics,” guest edited by Reza Sarhangi. All papers were approved through a rigorous process of blind peer review and edited by an interdisciplinary scientific editorial committee. Topics range from symmetry in ancient Persian architecture to the elaborate geometric patterns and complex three-dimensional structures of standing monuments of historical periods, from the expression of mathematical ideas to architectonic structures, and from decorative ornament to the representation of modern group theory and quasi-crystalline patterns. The articles discuss unique monuments Persia, including domed structures and two-dimensional patterns, which have received significant scholarly attention in recent years. This book is a unique contribution to studies of Persian architecture in relation to mathematics.
• English