Minimizing the Number of Tiles in a Tiled Rectangle Sultan Hussain and Usman Ali

Every Tiling of the First Quadrant by Ribbon L n-Ominoes Follows the Rectangular Pattern

Let n 4 ≥ and let n  be the set of four ribbon L-shaped n-ominoes. We study tiling problems for regions in a square lattice by n  . Our main result shows a remarkable property of this set of tiles: any tiling of the first quadrant by n  , n even, reduces to a tiling by n 2× and n 2 × rectangles, each rectangle being covered by two ribbon L-shaped n-ominoes. An application of our result is th...

Tiling a Rectangle with Polyominoes

A polycube in dimension d is a finite union of unit d-cubes whose vertices are on knots of the lattice Zd . We show that, for each family of polycubes E, there exists a finite set F of bricks (parallelepiped rectangles) such that the bricks which can be tiled by E are exactly the bricks which can be tiled by F . Consequently, if we know the set F , then we have an algorithm to decide in polynom...

Effect of Different Seed Solutions on the Morphology and Electrooptical Properties of ZnO Nanorods

Selective zinc ion detection by functionalised ZnO nanorods with ionophore

A survey conducted to reconstruct Ali-Qapu Transom embellishments

Sheikh Safi mausoleum includes a number of buildings of different periods, which Shah Tahmasb first turned them into a single complex. Later, Shah Abbas amended this complex and added important buildings to it. In general, the great importance of this historical monument is reflected in its relationship with the Safavid dynasty.  According to the travelogues and tourists and historians’ writin...