Mathematical beauty and Palladian architecture:Measuring and comparing visual complexity and diversity

作     者：Ju Hyun Lee Michael J.Ostwald 

作者机构：School of Built EnvironmentFaculty of ArtsDesign&ArchitectureThe University of New South WalesSydneyNSW 2052Australia 

出 版 物：《Frontiers of Architectural Research》 (建筑学研究前沿（英文版）)

年 卷 期：2024年第13卷第4期

页      面：729-740页

核心收录：

学科分类：08[工学] 0813[工学-建筑学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the ARC(DP220101598) UNSW Scientia program 

主　　题：Palladian architecture Complexity Diversity Mathematical beauty Perplexity Fac¸ade design 

摘      要：Palladio’s design principles,including proportion and harmony,have often been associated with mathematical definitions of ***,the geometric and semantic properties of his fac¸ades have rarely been analysed in a holistic *** is little evidence of how mathematical beauty may be embodied in his *** research investigates complexity(fractal dimension or D)and diversity(perplexity or PP)as aesthetic indices,aiming to capture distinct characteristics of Palladian *** D and PP values of 22 Palladian villa fac¸ades are measured and analysed,before being compared with those of three Renaissance facades by Sebastiano *** combination of D and PP captures the geometric and semantic aesthetic qualities of architectural ***,the developed scatter plot of D and PP results supports the identification of four distinct aesthetic types of Palladian fac¸ade *** novel combination of D and PP measures contributes to a better understanding of one definition of the mathematical beauty of architecture,wherein“the whole is other than the sum of the partsin compositional terms(a famous Gestalt principle).Specifically,this research provides new mathematical insights into the visual character of Palladian architecture and compares two important measures thereof.