曲面的建築方案在設計和製造上提出了重大挑戰，需要深入的專業知識，以進行鑲嵌和將幾何形狀分解為合理可建造的元素，使用能夠處理大量計算的先進硬件和軟件，以及特定機械以成功實現建築物體。積層製造是一種提供更大製造靈活性的技術。近年來，建築師和建造者積極在原型設計和建造過程中實施3D列印。本研究提出了一種設計和製造方法論，建立創新的塊體系統與3D列印相結合，以促進此類結構的構想。本論文建基於當前拓撲相互鎖定和積層製造方法，並進一步發展提出整合的設計系統。
直紋界面塊體系統（RIBS）旨在通過三種主要策略優化具有非平面界面的拓撲相互鎖定塊體的生成過程：引入低計算量之幾何元素進行塊體造型運算、基於控制點位置調整幾何形狀，以及使用網格表面進行鑲嵌過程和塊體的幾何表示。不對稱和不規則的彎曲結構鑲嵌會導致具有非重複形式的塊體，而3D列印技術解決了在這些情景中實施RIBS所需的靈活性。本研究建議的塊體系統與此技術能夠良好整合，因為這兩個概念都允許克服個別限制以實現過程中更大的靈活性。
研究最後通過實際設計案例運用這兩種概念，分析和評估兩種方法論在建造建築元素需要顯著靈活性的情境中的表現。

The proposal of curved architectural forms implies significant challenges in design and manufacturing, requiring in-depth specialized knowledge for tessellation and decomposition of the geometry into reasonably constructible elements, the use of advanced hardware and software capable of handling extensive calculations, as well as specific machinery to materialize the architectural object successfully. Additive manufacturing is a technology designed to provide greater flexibility in fabrication. In recent years, architects and builders have actively implemented 3D printing in the prototyping and construction process. This research proposes a design and manufacturing methodology that combines an innovative block system with 3D printing to facilitate the conception of such structures. This proposal is based on the study of the current development of topological interlocking and additive manufacturing methods focused on construction.
The Ruled Interface Block System (RIBS) aims to optimize the generation process of topological interlocking blocks with a non-flat interface for curved assemblies through three main strategies: the introduction of geometric elements with low computation for block formation, control of the resulting geometry based on point positions, and the use of mesh surfaces for the tessellation process and geometric representation of the blocks. Certainly, asymmetric and irregular curved structures tessellation results in blocks with non-repetitive forms. The flexibility necessary for the implementation of the RIBS in these scenarios is addressed by 3D printing technology. The proposed block system synergizes well with this technology, as both concepts allow overcoming individual limits to achieve greater flexibility in the process.
The research concludes with a practical exercise employing both concepts to analyze and evaluate the performance of both methodologies in a scenario where significant flexibility in the manufacturing of an architectural element is required.

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