After studying the unpublished sketches of the Spanish artist Pablo Palazuelo, this essay proposes the existence of geometric patterns that order his designs. To illustrate the proposal, this paper selects three representative projects by Palazuelo that attempt to demonstrate the presence of a working process related to a mathematical substrate. Specifically, the use of an irregular tiling is proposed for the creation of the following architectural elements: the scenery for a composition by Kandinsky (1950–1954), and the plan for a hotel on Princesa Street, Madrid, (1961). This study also examines the use of regular tessellations in the design of the ceilings of the Huarte Residence in Madrid, (1965). The treatises by Bourgoin and Ghyka have been selected from the library of Palazuelo as the primary theoretical bases of this study. This methodology constitutes a line of further research to analyze different architectural projects.

中文翻译：

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Pablo Palazuelo 建筑中的镶嵌

在研究了西班牙艺术家 Pablo Palazuelo 未发表的草图后，这篇文章提出了他的设计中存在的几何图案。为了说明该建议，本文选择了 Palazuelo 的三个代表性项目，试图证明与数学基础相关的工作过程的存在。具体而言，建议使用不规则的瓷砖来创建以下建筑元素：康定斯基（1950-1954）构图的风景，以及马德里公主街酒店的计划（1961）。本研究还考察了常规镶嵌在马德里 Huarte 住宅天花板设计中的使用，（1965 年）。Bourgoin 和 Ghyka 的论文选自 Palazuelo 图书馆，作为本研究的主要理论基础。