This paper shows design studies with bent panels which are originally rectangular or at least approximately rectangular. Based on recent results obtained in the geometry processing community, we algorithmically approach the questions of an exact rectangular shape of panels; of watertightness of the resulting paneling; and of the panel shapes being achievable by pure bending. We conclude the pap...

In a rectangular drawing of a plane graph, each edge is drawn as a horizontal or vertical line segment, and all faces including the outer face are drawn as rectangles. In this paper, we introduce an “extended rectangular drawing” in which all inner faces are drawn as rectangles but the outer face is drawn as a rectilinear polygon with designated corners, and give a necessary and sufficient cond...

A multi-band microstrip patch antenna is developed and presented in this paper. The radiating elements in this antenna are composed of rectangular and triangular slots. These slots are engraved in the rectangular and triangular patch, joined together in one structure, and by single probe feed. The rectangular and triangular slots make the antenna to operate at multiband with relatively high gai...

A 1D Reversible Cellular Automata (RCA) with forward and backward radius2 neighborhoods is called Rectangular. It was previously conjectured that the conservation laws in 1D Rectangular RCA can be described as linear combinations of independent constant-speed flows to the right or to the left. This is indeed the case; so is a similar statement about a more general class of Rectangular RCA in an...

1 I n t r o d u c t i o n The problem of drawing a graph on the plane has received increasing attention due to a large number of applications [3]. Examples include VLSI layout, algorithm animation, visual languages and CASE tools. Vertices are usually represented by points and edges by curves. In the design of floor planning of electronic chips and in architectural design, it is also common to ...

in this research, the bending analysis of rectangular nanoplates subjected to mechanical loading is investigated. for this purpose, the strain gradient elasticity theory with one gradient parameter is presented to study the nanoplates. from the best knowledge of authors, it is the first time that the exponential shear deformation formulation based on strain gradient elasticity theory is carried...

Multilayer rectangular dissections have been considered such as models of multi page books in spreadsheets, 3D floor plans and stratum maps in terrain surfaces. In this paper, we deal with a representation of the multilayer rectangular dissections that are effective for ruled line oriented operations and introduce hexadecimal grids corresponding to multilayer rectangular dissections. And we sho...

We consider the problem of supervisory control for a class of rectangular automata and more specifically for compact rectangular automata with uniform rectangular activity, i.e. initialised. The supervisory controller is state feedback and disables discrete-event transitions in order to solve the non-blocking forbidden state problem. The non-blocking problem is defined under both strong and wea...

Highly monodispersed concave gold nanobars with 24 high-index {730} facets are synthesized through a seed-mediated growth in aqueous solution. The transformation from the truncated rectangular nanobars to rectangular nanobars, then transitional products, and final concave rectangular nanobars is observed with the fine control of silver nitrate in the growth solution, and their corresponding tra...

We apply the method of determinants to study the distribution of the largest singular values of large real rectangular random matrices with independent Cauchy entries. We show that statistical properties of the largest singular values are different from the Tracy-Widom law. Among other corollaries of our method we show an interesting connection between the mathematical expectations of the deter...