Tiling Rectangles, Connectivity and Associated Covariants: Application of Mathematics to Architecture - Softcover
Tiling by rectangles is the geometric problem of arranging a given family of rectangles in a larger specific frame. A primitive version is rectangle tiling, i.e., tiling rectangles inside a rectangular frame. Then the notion of rectangle tiling is extended to tiling rectangles inside some other shapes. This generalization is achieved through mathematical objects, namely the allocation matrix and the extra spaces. When tiling by rectangles, an effort has been made to obtain a best connected tiling. Connectivity is defined in terms of adjacency for both the given rectangles and the extra spaces. As far as the applications are concerned, the concept of tiling by rectangles has been applied to different fields, with special emphasis on architectural designing, where the aim is to obtain floor plans of some assigned shapes. The presented research work opens a new field for applied mathematicians, in that it combines various aspects of geometry, topology and optimization theory, towards the solution of a problem which is well known to architects, but which has rarely been attacked by mathematical methods.
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About the Author:
Krishnendra Shekhawat is an Assistant Professor at Dept. of Mathematics, Central University of Rajasthan, India. In 2013, he has completed his doctorate from Dept. of Mathematics, University of Geneva, in the guidance of Prof. Daniel Coray. He is an alumni of IIT Delhi, India. He is currently working with the problem of arrangement of objects.
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- PublisherScholars' Press
- Publication date2014
- ISBN 10 3639662067
- ISBN 13 9783639662061
- BindingPaperback
- Number of pages164
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Tiling Rectangles; Connectivity and Associated Covariants
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Tiling Rectangles, Connectivity and Associated Covariants: Application of Mathematics to Architecture
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Tiling by rectangles is the geometric problem of arranging a given family of rectangles in a larger specific frame. A primitive version is rectangle tiling, i.e., tiling rectangles inside a rectangular frame. Then the notion of rectangle tiling is extended to tiling rectangles inside some other shapes. This generalization is achieved through mathematical objects, namely the allocation matrix and the extra spaces. When tiling by rectangles, an effort has been made to obtain a best connected tiling. Connectivity is defined in terms of adjacency for both the given rectangles and the extra spaces. As far as the applications are concerned, the concept of tiling by rectangles has been applied to different fields, with special emphasis on architectural designing, where the aim is to obtain floor plans of some assigned shapes. The presented research work opens a new field for applied mathematicians, in that it combines various aspects of geometry, topology and optimization theory, towards the solution of a problem which is well known to architects, but which has rarely been attacked by mathematical methods. 164 pp. Englisch. Seller Inventory # 9783639662061
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Tiling Rectangles, Connectivity and Associated Covariants Application of Mathematics to Architecture
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Book Description Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Tiling by rectangles is the geometric problem of arranging a given family of rectangles in a larger specific frame. A primitive version is rectangle tiling, i.e., tiling rectangles inside a rectangular frame. Then the notion of rectangle tiling is extended to tiling rectangles inside some other shapes. This generalization is achieved through mathematical objects, namely the allocation matrix and the extra spaces. When tiling by rectangles, an effort has been made to obtain a best connected tiling. Connectivity is defined in terms of adjacency for both the given rectangles and the extra spaces. As far as the applications are concerned, the concept of tiling by rectangles has been applied to different fields, with special emphasis on architectural designing, where the aim is to obtain floor plans of some assigned shapes. The presented research work opens a new field for applied mathematicians, in that it combines various aspects of geometry, topology and optimization theory, towards the solution of a problem which is well known to architects, but which has rarely been attacked by mathematical methods. Seller Inventory # 9783639662061
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Tiling Rectangles, Connectivity and Associated Covariants Application of Mathematics to Architecture
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Shekhawat KrishnendraKrishnendra Shekhawat is an Assistant Professor at Dept. of Mathematics, Central University of Rajasthan, India. In 2013, he has completed his doctorate from Dept. of Mathematics, University of Geneva, in the gui. Seller Inventory # 4996514
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