TY - GEN A1 - Schmitt, Rebecca Erika A1 - Wendland, David ED - Mascarenhas-Mateus, João ED - Paula Pires, Ana T1 - The geometric design of the “Guarinesque” vaults in Banz and Vierzehnheiligen in relation to the treatises of stereotomy T2 - History of construction cultures : proceedings of the 7th International Congress on Construction History (7ICCH 2021), July 12-16, 2021, Lisbon, Portugal. Volume 2 N2 - Johann Dientzenhofer’s Banz Abbey Church (1710-1718) and Balthasar Neumann’s church of Vierzehnheiligen (1743-1772), both located in Upper Franconia (Germany), are characterised by their masonry vaults, sequences of oval domes separated by double-curved arches. This Late Baroque architecture has been called “Guarinesque”; however, the conceptual connection between the vaults and Guarino Guarini’s architecture remains to be thoroughly investigated. This paper resumes the discussion about the geometric definitions of these vaults using the modern methods of geometric analysis and reverse geometrical engineering, based on 3D laser scanning. The analysis of these scans reveals a design process based on plane circle segments and ovals, while more complex geometric procedures are not necessary to describe the vaults. Further, the relationship between these designs and the procedures of geometric design described in the treatises of stereotomy since the 16th century can be shown. On this background, the relation to Guarini’s Architettura Civile (1737) is discussed. KW - geometric design KW - vault KW - vaulting KW - Banz KW - Vierzehnheiligen KW - Balthasar Neumann KW - Johann Dientzenhofer KW - 3D laser scan KW - reverse engineering KW - geometric analysis KW - stereotomy KW - Guarino Guarini KW - guarinesque KW - architettura civile Y1 - 2021 SN - 978-1-00-317343-4 SN - 978-1-032-00203-3 U6 - https://doi.org/10.1201/9781003173434-160 SP - 371 EP - 378 PB - CRC Press CY - Boca Raton ER - TY - GEN A1 - Lengenfeld, Jonas ED - Mascarenhas-Mateus, João ED - Paula Pires, Ana T1 - Simply complex: Case studies on complex stone constructions of High Medieval courtly chimneys T2 - History of construction cultures : proceedings of the 7th International Congress on Construction History (7ICCH 2021), July 12-16, 2021, Lisbon, Portugal. Volume 2 Y1 - 2021 SN - 978-1-00-317343-4 SN - 978-1-032-00203-3 U6 - https://doi.org/10.1201/9781003173434-119 SP - 55 EP - 62 PB - CRC Press CY - Boca Raton ER - TY - GEN A1 - Bücherl, Heike ED - Mascarenhas-Mateus, João ED - Paula Pires, Ana T1 - Incomplete: The discontinued building project of a Greek temple of the Classical period T2 - History of construction cultures : proceedings of the 7th International Congress on Construction History (7ICCH 2021), July 12-16, 2021, Lisbon, Portugal. Volume 2 Y1 - 2021 SN - 978-1-003-17343-4 SN - 978-1-032-00203-3 U6 - https://doi.org/10.1201/9781003173434-114 SP - 17 EP - 23 PB - CRC Press CY - Boca Raton ER - TY - GEN A1 - Wendland, David A1 - Gielen, Mark A1 - Korensky, Vladimir ED - Mascarenhas-Mateus, João ED - Paula Pires, Ana T1 - The construction and Stereotomy of the medieval vaults in Notre-Dame: Planning, stone-cutting and building of the double-curved shells T2 - History of construction cultures : proceedings of the 7th International Congress on Construction History (7ICCH 2021), July 12-16, 2021, Lisbon, Portugal. Volume 2 Y1 - 2021 SN - 978-1-00-317343-4 SN - 978-1-032-00203-3 U6 - https://doi.org/10.1201/9781003173434-155 SP - 333 EP - 340 PB - CRC Press CY - Boca Raton ER - TY - GEN A1 - Nazari, Soheil ED - Mascarenhas-Mateus, João ED - Paula Pires, Ana T1 - The practical geometry of Persian ribbed vaults: A study of the rehabilitation of the Kolahduzan Dome in the Tabriz historic bazaar T2 - History of construction cultures : proceedings of the 7th International Congress on Construction History (7ICCH 2021), July 12-16, 2021, Lisbon, Portugal. Volume 2 Y1 - 2021 SN - 978-1-00-317343-4 SN - 978-1-032-00203-3 U6 - https://doi.org/10.1201/9781003173434-169 SP - 439 EP - 446 PB - CRC Press CY - Boca Raton ER -