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Preliminary Mathematics
Published in P.K. Jayasree, K Balan, V Rani, Practical Civil Engineering, 2021
P.K. Jayasree, K Balan, V Rani
A polygon is a plane figure which is surrounded by a fixed number of straight line segments closing in a loop. There are two types of polygons—regular and irregular polygons. A regular polygon has equal sides and equal angles. A polygon with unequal sides and unequal angles is called an irregular polygon.
Hardware Implementation of the Image Recognition System Based on Parallel Shift Technology
Published in Stepan Bilan, Sergey Yuzhakov, Image Processing and Pattern Recognition, 2018
Hardware implementation allows implementation of an image shift without first calculating the coordinates of the image pixel shift. Analysis of the examined coatings showed that there are only three types of lattices that are built on the basis of regular polygons that makes it possible to form a dense mosaic field. Such regular polygons include triangles, quadrilaterals and hexagons. Use of other grids of regular polygons does not make it possible to form a discrete plane densely. Other forms of coverage with different forms of cells do not allow the shift of images without loss of information.
Structure and form in textile design: curriculum and bibliography
Published in The Journal of The Textile Institute, 2018
Regular polygons are enclosed figures with equal sides and angles, represented, invariably, by straight lines on paper. The intersection points of the sides are known as vertices, and the inside angle between each side is known as the vertex angle. In theory, an infinite number of regular polygons is possible. The vast majority of students will of course be aware that a regular three-sided figure in the plane is known as an equilateral triangle, with sides equal in length and with each vertex angle equal to 60 degrees; that a square is the equivalent figure with four sides and with vertex angles of 90 degrees; that the regular pentagon is the equivalent figure with five sides and with each vertex angle of 108 degrees; that the regular hexagon is the equivalent figure with six sides and with vertex angles of 120 degrees. Although the vast majority of students will indeed be familiar with these, surprisingly few will be able to construct each to a specified side length, using only a pair of compasses and a straight edge or, alternatively, using appropriate computer software (Figure 1(a)–(h)).