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All ages and each tradition has trusted the incorporation of arithmetic of their works of structure to imbue the equipped setting with that means and order. arithmetic can be important to the creation of structure, to its equipment of size, fabrication and research. This two-volume edited assortment provides an in depth portrait of the ways that probably diverse disciplines are interconnected. Over nearly a hundred chapters it illustrates and examines the connection among structure and mathematics...

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Additional info for Architecture and Mathematics from Antiquity to the Future, Volume 1: Antiquity to the 1500s

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For the next 300 years developments in Early English and Muscovite architecture occurred in parallel with more advanced Gothic brick and stone structures until, around the beginning of the fifteenth century, the first Renaissance buildings began to be completed. Part IV of the present volume covers this 300-year period, which broadly coincides with the rise and fall of the Gothic. However, of the 11 chapters in Part IV only four are about Gothic architecture and only five are set in central Europe.

While examples of muqarnas vaulting have been traced to the tenth century, it was during the fifteenth century that some of the most complex were produced, and, not coincidentally, when the mathematician Ghiyath al-Din al Kashi developed a technique for measuring their surface area. In ‘Muqarnas, Construction and Reconstruction’ (Chap. 47), Yvonne Dold-Samplonius and Silvia Harmsen describe their development of a database of muqarnas dimensions and constructions to allow for the mapping of styles, regions and timeframes using subtle developments that occurred in the geometry and form of the vault.

41), Marco Frascari and Livio Volpi Ghirardini argue that the presence and importance of the golden mean in historic architecture has been much exaggerated. They propose that such is the allure and simplicity of the golden mean that it has been uncritically adopted to explain a growing number of forms which neither closely conform to its geometry nor have any theoretical affinity with it. By considering the way architecture was 1 Relationships Between Architecture and Mathematics 17 historically constructed, Frascari and Volpi Ghirardini demonstrate the potential fallacy at the heart of many interpretations of historic buildings.

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