Tiling Rectangles, Connectivity and Associated Covariants
Krishnendra Shekhawat
Broschiertes Buch

Tiling Rectangles, Connectivity and Associated Covariants

Application of Mathematics to Architecture

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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....