{"title":"空间构型的语法和数学度量","authors":"","doi":"10.4018/978-1-7998-1698-0.ch005","DOIUrl":null,"url":null,"abstract":"This chapter presents a detailed explanation of the construction and analysis of a justified plan graph (JPG) of a building plan. It introduces the classic syntactical and mathematical measures derived from a JPG and discusses their interpretation in terms of the original architectural plan the results are derived from. Thereafter, an alternative weighted and directed JPG is introduced which uses four measures: centrality, degree centrality, centrality closeness, and betweenness. The mathematical measures introduced in this chapter are applied in Section 3 of this book to examine two syntactical and grammatical applications. Throughout the present chapter, three “Palladian” villas—Villa Saraceno, Villa Sepulveda, and Villa Poiana—are used as examples to explain and demonstrate the concepts.","PeriodicalId":173264,"journal":{"name":"Advances in Systems Analysis, Software Engineering, and High Performance Computing","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Syntactical and Mathematical Measures of Spatial Configuration\",\"authors\":\"\",\"doi\":\"10.4018/978-1-7998-1698-0.ch005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This chapter presents a detailed explanation of the construction and analysis of a justified plan graph (JPG) of a building plan. It introduces the classic syntactical and mathematical measures derived from a JPG and discusses their interpretation in terms of the original architectural plan the results are derived from. Thereafter, an alternative weighted and directed JPG is introduced which uses four measures: centrality, degree centrality, centrality closeness, and betweenness. The mathematical measures introduced in this chapter are applied in Section 3 of this book to examine two syntactical and grammatical applications. Throughout the present chapter, three “Palladian” villas—Villa Saraceno, Villa Sepulveda, and Villa Poiana—are used as examples to explain and demonstrate the concepts.\",\"PeriodicalId\":173264,\"journal\":{\"name\":\"Advances in Systems Analysis, Software Engineering, and High Performance Computing\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Systems Analysis, Software Engineering, and High Performance Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4018/978-1-7998-1698-0.ch005\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Systems Analysis, Software Engineering, and High Performance Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4018/978-1-7998-1698-0.ch005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Syntactical and Mathematical Measures of Spatial Configuration
This chapter presents a detailed explanation of the construction and analysis of a justified plan graph (JPG) of a building plan. It introduces the classic syntactical and mathematical measures derived from a JPG and discusses their interpretation in terms of the original architectural plan the results are derived from. Thereafter, an alternative weighted and directed JPG is introduced which uses four measures: centrality, degree centrality, centrality closeness, and betweenness. The mathematical measures introduced in this chapter are applied in Section 3 of this book to examine two syntactical and grammatical applications. Throughout the present chapter, three “Palladian” villas—Villa Saraceno, Villa Sepulveda, and Villa Poiana—are used as examples to explain and demonstrate the concepts.