Advancements in the synthesis of faceted nanoparticles and colloids have spurred interest in the phase behavior of polyhedral shapes. Regular tetrahedra have attracted particular attention because they prefer local symmetries that are incompatible with periodicity. Two dense phases of regular tetrahedra have been reported recently. The densest known tetrahedron packing is achieved in a crystal ...

Two puzzles that repeatedly appeared in the Munich newspaper tz are Knossos and The Hour-Glass (“Das Stundenglas”) [Bul10a, Bul10b, Bul10c, Bul11], see also [Pre]. Knossos asks the reader to insert walls into a grid of cells representing the famous palace of Knossos. Every room is described by a number that indicates the length of its walls in terms of segments enclosing the room (we assume tha...

Deterministic lateral displacement (DLD) microsystems are suitable for the size fractionation of particle suspensions in range 0.1 to 10 µm. To be able fractionate real particles beyond a laboratory scale, these systems have designed higher throughputs. High flow resistances and increasing clogging impose substantial challenges industrial operation. Simulative parameter studies improving design...

The streamlined exterior shapes of tall buildings are important to reduce the effect wind. Therefore, an examination different techniques for design is required. This study aims analyses some select most in order high wind risks. benchmark used current a building with height 120 m and triangular cross-section side length 20 m. A square twisted as modified model about rotation angle 45° each pat...

The cooling performance of the air-conditioning system in electric vehicles could be enhanced through geometrical optimization air ducts. Furthermore, it has been proven that heat-transfer divergent channels is better than conventional channels. Therefore, present study investigates thermal and flow characteristics ducts with various rib shapes for vehicles. characteristics, namely, temperature...

We introduce a new algorithm to convert triangular meshes of polygonal regions, with or without holes, into strictly convex quadrilateral meshes of small bounded size. Our algorithm includes all vertices of the triangular mesh in the quadrilateral mesh, but may add extra vertices (called Steiner points). We show that if the input triangular mesh has t triangles, our algorithm produces a mesh wi...

ranking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. in spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. shortcoming are found in some of the convenient methods for ranking triangular fuzzy numbers such as the coefficient of variation (cv index), distance between fuzzy set...

Analytical solutions for regular waves generated by bottom wave makers in a 3-dimensional basin were derived this study. Bottom which have triangular, rectangular and combination of two shapes adopted. The velocity potential was based on the linear theory with moving boundary condition, kinematic dynamic free surface conditions basin. Then, analytical particle velocities displacement from poten...