The vault's design has a direct influence on its architectural embellishments. Various ornamental styles, including , , , and , are commonly seen in Iranian architecture. However, Kaseh-Sazi, an independent ornamentation technique, has been largely overlooked in previous studies. Architectural records, such as the Mirza Akbar scroll, feature 2D depictions of different Kaseh-Sazi patterns. This research aims to create 3D models of these 2D patterns, reproducing the mathematical and geometric principles behind . The 's scroll, renowned as a significant architectural document, unveils the geometric motifs of . The study reveals the structure incorporates intricate mathematical and geometric connections. Factors such as the architectural plan, client and manager perspectives, and the architect's expertise all influence the construction of ; and sometimes, architects may simplify the intricate structural and geometric elements of to facilitate the construction process.

中文翻译：

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从卷轴到屏幕：模拟和解码 Mirza Akbar 建筑装饰卷轴 Kaseh-Sazi 绘图的新颖视角

拱顶的设计对其建筑装饰有直接影响。伊朗建筑中常见各种装饰风格，包括 、 、 、 和 。然而，Kaseh-Sazi这种独立的装饰技术在以往的研究中很大程度上被忽视了。 Mirza Akbar 卷轴等建筑记录以不同 Kaseh-Sazi 图案的 2D 描绘为特色。这项研究旨在创建这些 2D 图案的 3D 模型，重现背后的数学和几何原理。的卷轴作为重要的建筑文献而闻名，揭示了 的几何图案。研究揭示了该结构融合了复杂的数学和几何联系。建筑计划、客户和经理的观点以及建筑师的专业知识等因素都会影响建筑；有时，建筑师可能会简化复杂的结构和几何元素以促进施工过程。