{"7ad61d12d9570b74db7ae210cf93bc5cpetraheim":{"DOI":"","ISBN":"","ISSN":"","URL":"","abstract":"This  paper  revisits  the  determination  of  reciprocal  structural  arrangements  for  constructing tridimensional  surfaces  using  exclusively  straight  members.  It  introduces  a  novelty  geometric convergence method for finding reciprocal arrangements on doubly curved  reference surfaces which include an adaptable length of members, demonstrating that existing methods — typically focused on generating reciprocal arrangements from predefined geometric rotations — represent only a subset of the broader design space  for this typology.  The proposed Adaptive Reciprocal  Framing Tessellation method is applicable to both synclastic and anticlastic surfaces and allows for a strategic placement of support conditions of the anisotropic timber system, although some boundary conditions are needed to guarantee convergence of the structural arrangement. A structural performance evaluation  of a set of generated  patterns is  given by  assessing  displacements and  stress checks  of  members  according to Eurocode 5 in an integrated computational engineering design workflow","annote":"","author":[{"family":"Prandini","given":"Renan"},{"family":"Knippers","given":"Jan"}],"citation-label":"prandini2025adaptive","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Proceedings of the IASS Annual Symposium 2025, “The living past as a source of innovation”","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2025"]],"literal":"2025"},"event-place":"","id":"7ad61d12d9570b74db7ae210cf93bc5cpetraheim","interhash":"0c6ead4d248a2b5871aa99fb772d9ccb","intrahash":"7ad61d12d9570b74db7ae210cf93bc5c","issue":"","issued":{"date-parts":[["2025"]],"literal":"2025"},"keyword":"2025 adaptive anisothropic computer-aided curved engineering form frames free itke knippers prandini reciprocal shells surface tesselation timber","misc":{"venue":"México City, México","language":"eng","eventdate":"27-31 October, 2025","eventtitle":"IASS Annual Symposium 2025, “The living past as a source of innovation”"},"note":"","number":"","page":"","page-first":"","publisher":"","publisher-place":"","status":"","title":"Adaptive Reciprocally Framed Tessellation for doubly curved surfaces","type":"book","username":"petraheim","version":"","volume":""},"7ad61d12d9570b74db7ae210cf93bc5citke":{"DOI":"","ISBN":"","ISSN":"","URL":"","abstract":"This  paper  revisits  the  determination  of  reciprocal  structural  arrangements  for  constructing tridimensional  surfaces  using  exclusively  straight  members.  It  introduces  a  novelty  geometric convergence method for finding reciprocal arrangements on doubly curved  reference surfaces which include an adaptable length of members, demonstrating that existing methods — typically focused on generating reciprocal arrangements from predefined geometric rotations — represent only a subset of the broader design space  for this typology.  The proposed Adaptive Reciprocal  Framing Tessellation method is applicable to both synclastic and anticlastic surfaces and allows for a strategic placement of support conditions of the anisotropic timber system, although some boundary conditions are needed to guarantee convergence of the structural arrangement. A structural performance evaluation  of a set of generated  patterns is  given by  assessing  displacements and  stress checks  of  members  according to Eurocode 5 in an integrated computational engineering design workflow","annote":"","author":[{"family":"Prandini","given":"Renan"},{"family":"Knippers","given":"Jan"}],"citation-label":"prandini2025adaptive","collection-editor":[],"collection-title":"","container-author":[],"container-title":"Proceedings of the IASS Annual Symposium 2025, “The living past as a source of innovation”","documents":[],"edition":"","editor":[],"event-date":{"date-parts":[["2025"]],"literal":"2025"},"event-place":"","id":"7ad61d12d9570b74db7ae210cf93bc5citke","interhash":"0c6ead4d248a2b5871aa99fb772d9ccb","intrahash":"7ad61d12d9570b74db7ae210cf93bc5c","issue":"","issued":{"date-parts":[["2025"]],"literal":"2025"},"keyword":"computer-aided curved prandini shells surface frames knippers reciprocal engineering tesselation adaptive form itke 2025 anisothropic timber free","misc":{"venue":"México City, México","language":"eng","eventdate":"27-31 October, 2025","eventtitle":"IASS Annual Symposium 2025, “The living past as a source of innovation”"},"note":"","number":"","page":"","page-first":"","publisher":"","publisher-place":"","status":"","title":"Adaptive Reciprocally Framed Tessellation for doubly curved surfaces","type":"book","username":"itke","version":"","volume":""}}