Due to the advances of image system, most researches are developed on high-resolution system. However, the low-resolution system have an advantage over the high-resolution system on processing speed, saving space and power consumption. From the research of hexagonal grid, we know that from the view of microcosmic, the angle resolution and connection of hexagonal grid are better than rectangular grid, so images on hexagonal grid also have the better quality. Almost input and output systems of image device are on rectangular grid, so its technology and theory are developed on rectangular grid system. For a displaying system, fonts and images are the main elements. If we want to substitute hexagonal grid system for rectangular grid system, they will be primary factories that we consider. In this research based on rectangular grid system, we will apply the plane parametric curves and fill algorithm on hexagonal grid system, and probe into the displaying method of fonts and images on hexagonal grid system.

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Describe the topology of the polar for an irreducible curve germ of gender one and generic, we show that are non degenerate Newton. / Describiremos la topología de la polar de un germen de curva irreducible, genérica y de género uno. Para lo cual mostraremos que polar de una curva genérica en K(n;m) es Newton no degenerada.