%0 Generic %A Mao, Mengdi %A Colletti, Marjan %A Lee, Guan %C Nicosia, Cyprus %D 2024 %E Kontovourkis, Odysseas %E Phocas, Marios C %E Wurzer, Gabriel %F discovery:10199440 %I eCAADe %K Masonry Architecture, Topological Interlocking Assembly, Penrose Tiling, Mortarless Structure, Aperiodic Tiling, Double-curved Surface. %P 255-264 %T Towards New Materiality and Structures: Generating 3D topological interlocking assemblies from 2D Penrose tiling using interactive geometric software %U https://discovery.ucl.ac.uk/id/eprint/10199440/ %V 1 %X The term Topological Interlocking Assembly (TIA), proposed by A.V. Dyskin et al., refers to an assembly system whose internal elements are both translationally and rotationally locked. Such systems allow masonry construction to form stable assemblies more sustainably, relying not on mortar or special connectors but by the geometric arrangement of bespoke blocks. Prior studies in TIA focused mainly on platonic geometries, and a few have considered curved structures, derived primarily from regular 2D tessellations. In contrast to existing methods, this paper explored nonplatonic mortarless vaults with TIA generated from aperiodic Penrose tiling for both structural function and aperiodic aesthetic in architecture. The patterns formed by Penrose tiles, invented by Sir Roger Penrose in the 1970s, are aperiodic, i.e. they do not repeat regularly. This research used Rhino Grasshopper to enable real-time control and visualization of design parameters and variations in 2D tiles and 3D aggregation methods. Using geometric software as an interface enables architectural form-finding through material behavior and structural principles. The TIA approach considered is shown to offer ample design space for nonplatonic geometries and breaks masonry architecture’s dependence on conventional construction methods. This computer-aided design outcome allows us to formulate new understandings of materiality and structures. %Z This version is the author-accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.