Articles liés à Tiling Rectangles, Connectivity and Associated Covariants:...

Tiling Rectangles, Connectivity and Associated Covariants: Application of Mathematics to Architecture - Couverture souple

Shekhawat, Krishnendra

 
9783639662061: Tiling Rectangles, Connectivity and Associated Covariants: Application of Mathematics to Architecture
Couverture souple
ISBN 10 : 3639662067 ISBN 13 : 9783639662061
Editeur : Scholars' Press, 2014

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Scholars' Press
Date d'édition
2014
Langue
anglais
ISBN 10 
3639662067
ISBN 13 
9783639662061
Reliure
Broché
Nombre de pages
164
Coordonnées du fabricant
non disponible
Personne responsable
non disponible