USASRDL Technical Documents Center Hexagon

Rhombus Tilings of a Hexagon with Two Triangles Missing on the Symmetry Axis

We compute the number of rhombus tilings of a hexagon with sides n, n, N , n, n, N , where two triangles on the symmetry axis touching in one vertex are removed. The case of the common vertex being the center of the hexagon solves a problem posed by Propp.

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On the Six Node Hexagon Elements for Continuum Topology Optimization of Plates Carrying in Plane Loading and Shell Structures Carrying out of Plane Loading

The need of polygonal elements to represent the domain is gaining interest among structural engineers. The objective is to perform static analysis and topology optimization of a given continuum domain using the rational fraction type shape functions of six node hexagonal elements. In this paper, the main focus is to perform the topology optimization of two-dimensional plate structures using Evo...

Comparative Analysis of 3-, 5- and 7-Level Inverter Using Space Vector PWM

The above concept brings out the method for the multilevel inverters for generation of space vector pulse width modulation (SVPWM) signals. The small triangles formed by the adjacent voltage space vectors are called sectors. Such six sectors around a voltage space vector forms a hexagon called sub hexagon. The space vector diagram of a multilevel inverter can be viewed as composed of a number o...

Chds: a Fast Search Algorithm for Motion Estimation in Video Coding Standards

In this paper, we propose a new hybrid Cross Hexagon Diamond Search algorithm (CHDS) using crossshaped search pattern as the initial step and asymmetric hexagon-shaped patterns and small diamond pattern as the subsequent steps for fast block motion estimation. In block motion estimation, search pattern with different shape or size and the center biased motion vector distribution characteristics...