{"title":"Geometric Constructions","authors":"Lesley Lamphier","doi":"10.5860/choice.35-5707e","DOIUrl":"https://doi.org/10.5860/choice.35-5707e","url":null,"abstract":"Let us begin with constructions that are at once historical, practical and motivational. Giacomo Barozzi da Vignola in the mid-16 century wrote one of the more influential treatises on Renaissance architecture. In it, he describes manual ways of constructing architectural views. I highlight two constructions from his text. Each deals with an elevation of a classical column of a specific profile. The first produces a tapered shaft, the second, also called an enthasis, a profile that diminishes towards both the top and bottom. Figure 1-1 shows a plate from his treatise, Canon of the Five Orders of Architecture. Each construction yields a finite number of points on the shaft profile. These points are connected by a smooth curve to produce the desired profile.","PeriodicalId":385815,"journal":{"name":"Assouad Dimension and Fractal Geometry","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114394122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Iterated Function Systems","authors":"J. Fraser","doi":"10.1016/b978-044450002-1/50058-8","DOIUrl":"https://doi.org/10.1016/b978-044450002-1/50058-8","url":null,"abstract":"","PeriodicalId":385815,"journal":{"name":"Assouad Dimension and Fractal Geometry","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128885417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some Variations on the Assouad Dimension","authors":"J. Fraser","doi":"10.1017/9781108778459.004","DOIUrl":"https://doi.org/10.1017/9781108778459.004","url":null,"abstract":"","PeriodicalId":385815,"journal":{"name":"Assouad Dimension and Fractal Geometry","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130736945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Self-Affine Sets","authors":"A. Kaenmaki","doi":"10.1017/9781108778459.009","DOIUrl":"https://doi.org/10.1017/9781108778459.009","url":null,"abstract":". In this paper we consider diagonally affine, planar IFS Φ = { S i ( x,y )=( α i x + t i, 1 ,β i y + t i, 2 ) } mi =1 . Combining the techniques of Hochman and Feng and Hu, we compute the Hausdorff dimension of the self-affine attractor and measures and we give an upper bound for the dimension of the exceptional set of parameters.","PeriodicalId":385815,"journal":{"name":"Assouad Dimension and Fractal Geometry","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116554816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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