Palladio’s design principles,including proportion and harmony,have often been associated with mathematical definitions of beauty.However,the geometric and semantic properties of his fac¸ades have rarely been ana...Palladio’s design principles,including proportion and harmony,have often been associated with mathematical definitions of beauty.However,the geometric and semantic properties of his fac¸ades have rarely been analysed in a holistic manner.There is little evidence of how mathematical beauty may be embodied in his architecture.This research investigates complexity(fractal dimension or D)and diversity(perplexity or PP)as aesthetic indices,aiming to capture distinct characteristics of Palladian architecture.The 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 Serlio.The combination of D and PP captures the geometric and semantic aesthetic qualities of architectural compositions.Importantly,the developed scatter plot of D and PP results supports the identification of four distinct aesthetic types of Palladian fac¸ade designs.The 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 parts”in 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.展开更多
Shape grammars are well-known tools to explore abstract systems of shapes and their relationships. Although there has been much research on the use of shape grammars in the field of architectural styles, there has bee...Shape grammars are well-known tools to explore abstract systems of shapes and their relationships. Although there has been much research on the use of shape grammars in the field of architectural styles, there has been little investigation into the concept of circulation using shape grammars. Circulation is a tool used in architecture and interior design and is formed by connecting the points left by the movement of human beings through indoor or outdoor spaces. This study shows that shape grammars are also helpful in this particular field by presenting how a parametric shape grammar is applied to generate circulation designs, and the system automatically generates four basic types of complex circulations. According to the specific conditions and requirements of each commercial space, different forms of circulation can be specified and generated.展开更多
Andrea Palladio’s Renaissance villas are amongst the most famous and widely studied examples of domestic architecture ever produced.The majority of past research about Palladio’s architecture employed historical,mat...Andrea Palladio’s Renaissance villas are amongst the most famous and widely studied examples of domestic architecture ever produced.The majority of past research about Palladio’s architecture employed historical,mathematical and computational methods to analyse their complex proportional systems and rules.In contrast,this paper examines three of Palladio’s arguments about his villas plans which relate to their spatial properties and topological connections.Specifically,this paper uses a computational method e the justified plan graph(JPG)e to test two arguments about the location and significance of the primary salon on the plan,and a third about the extent to which the rooms in Palladio’s plans are,as he claims,flexible enough to contain alternative functions.Using ten of Palladio’s piano nobile(main floor)plans from I Quattro Libri Dell’Architettura as cases,this paper develops mathematical data to test three hypotheses framed around Palladio’s plans and theories.展开更多
16世纪威尼斯的精英阶层热衷于将财富投资于内陆地区(意大利语:terraferma)的别墅庄园。别墅庄园是集建筑、景观和花园于一体的农业单元。这些别墅庄园的建造对内陆的环境产生了重要影响,将原本非生产性的、不健康的场地转变为收益颇丰...16世纪威尼斯的精英阶层热衷于将财富投资于内陆地区(意大利语:terraferma)的别墅庄园。别墅庄园是集建筑、景观和花园于一体的农业单元。这些别墅庄园的建造对内陆的环境产生了重要影响,将原本非生产性的、不健康的场地转变为收益颇丰且令人愉悦的休养场所。威尼斯建筑师安德烈亚·帕拉第奥(Andrea Palladio,1508—1580)因别墅设计而闻名,其1570年出版的著作《建筑四书》(Four Books of Architecture)更是广为人知。通过历史梳理和空间分析,探讨帕拉第奥在埃莫别墅和圆厅别墅中通过构建健康环境为庄园主创造健康福祉的设计思想。然而,从呼吸不平等的视角剖析上述两栋别墅时,发现精英阶层的健康状况在一定程度上是通过剥夺其他人的同等机会而实现的。在16世纪的威尼斯内陆地区,精英们通过控制并剥夺其他人享有水、空气和土地的平等权利,来保持自身健康。认为这种获取健康的方式会引发空间正义问题。因此,部分群体在谋取自身利益时必须要考虑对其他群体的影响。虽然研究重点是例证帕拉第奥惯用之设计手法的两座著名别墅,但也试图分析帕拉第奥的其他作品和以帕氏建筑为模板的作品中存在的结构性不平等。展开更多
基金supported by the ARC(DP220101598)UNSW Scientia program.
文摘Palladio’s design principles,including proportion and harmony,have often been associated with mathematical definitions of beauty.However,the geometric and semantic properties of his fac¸ades have rarely been analysed in a holistic manner.There is little evidence of how mathematical beauty may be embodied in his architecture.This research investigates complexity(fractal dimension or D)and diversity(perplexity or PP)as aesthetic indices,aiming to capture distinct characteristics of Palladian architecture.The 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 Serlio.The combination of D and PP captures the geometric and semantic aesthetic qualities of architectural compositions.Importantly,the developed scatter plot of D and PP results supports the identification of four distinct aesthetic types of Palladian fac¸ade designs.The 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 parts”in 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.
文摘Shape grammars are well-known tools to explore abstract systems of shapes and their relationships. Although there has been much research on the use of shape grammars in the field of architectural styles, there has been little investigation into the concept of circulation using shape grammars. Circulation is a tool used in architecture and interior design and is formed by connecting the points left by the movement of human beings through indoor or outdoor spaces. This study shows that shape grammars are also helpful in this particular field by presenting how a parametric shape grammar is applied to generate circulation designs, and the system automatically generates four basic types of complex circulations. According to the specific conditions and requirements of each commercial space, different forms of circulation can be specified and generated.
基金Financial support for this research was provided by UNSW Scientia Program.
文摘Andrea Palladio’s Renaissance villas are amongst the most famous and widely studied examples of domestic architecture ever produced.The majority of past research about Palladio’s architecture employed historical,mathematical and computational methods to analyse their complex proportional systems and rules.In contrast,this paper examines three of Palladio’s arguments about his villas plans which relate to their spatial properties and topological connections.Specifically,this paper uses a computational method e the justified plan graph(JPG)e to test two arguments about the location and significance of the primary salon on the plan,and a third about the extent to which the rooms in Palladio’s plans are,as he claims,flexible enough to contain alternative functions.Using ten of Palladio’s piano nobile(main floor)plans from I Quattro Libri Dell’Architettura as cases,this paper develops mathematical data to test three hypotheses framed around Palladio’s plans and theories.
文摘16世纪威尼斯的精英阶层热衷于将财富投资于内陆地区(意大利语:terraferma)的别墅庄园。别墅庄园是集建筑、景观和花园于一体的农业单元。这些别墅庄园的建造对内陆的环境产生了重要影响,将原本非生产性的、不健康的场地转变为收益颇丰且令人愉悦的休养场所。威尼斯建筑师安德烈亚·帕拉第奥(Andrea Palladio,1508—1580)因别墅设计而闻名,其1570年出版的著作《建筑四书》(Four Books of Architecture)更是广为人知。通过历史梳理和空间分析,探讨帕拉第奥在埃莫别墅和圆厅别墅中通过构建健康环境为庄园主创造健康福祉的设计思想。然而,从呼吸不平等的视角剖析上述两栋别墅时,发现精英阶层的健康状况在一定程度上是通过剥夺其他人的同等机会而实现的。在16世纪的威尼斯内陆地区,精英们通过控制并剥夺其他人享有水、空气和土地的平等权利,来保持自身健康。认为这种获取健康的方式会引发空间正义问题。因此,部分群体在谋取自身利益时必须要考虑对其他群体的影响。虽然研究重点是例证帕拉第奥惯用之设计手法的两座著名别墅,但也试图分析帕拉第奥的其他作品和以帕氏建筑为模板的作品中存在的结构性不平等。
