Figure 2-14: A polygon in the form of a square constructed through arrays in .NET Integrating QR Code in .NET Figure 2-14: A polygon in the form of a square constructed through arrays Figure 2-14: A polygon in the form of a square constructed through arraysQR Code ISO/IEC18004 barcode library with .netUsing Barcode Control SDK for VS .NET Control to generate, create, read, scan barcode image in VS .NET applications. 2 Qrcode implementation on .netuse visual studio .net qr barcode generator todevelop quick response code on .netPoints, Lines, and Shapes Qr Codes barcode library for .netUsing Barcode scanner for VS .NET Control to read, scan read, scan image in VS .NET applications.In this example, we used the arrays to fill in the points and then we passed them to the vertex() method. The advantage of this method is that the arrays not only store information that can be reused later but can be changed and modified through the course of the session. However, it would be perhaps better if we could create a general algorithm that would fill the arrays with the necessary coordinates instead of pre-calculating and hard-coding the data. This problem is addressed in the next section.Bar Code generating in .netgenerate, create barcode none for .net projects2.5 Equilateral Polygons Visual .net barcode recognizerfor .netUsing Barcode recognizer for Visual Studio .NET Control to read, scan read, scan image in Visual Studio .NET applications.In an equilateral polygon, vertex points are distributed along a circle in equal intervals. Earlier in this chapter you learned how to create circles using parametric equations (i.e., involving an angle and a radius). The next step is to create circular polygons, that is, polygons created through arrays that are obtained by distributing points equally on the perimeter of a circle. The following code demonstrates this method with a simple algorithm making use of our knowledge of the sine and cosine:Control qr code 2d barcode data on .net c# qr code iso/iec18004 data for .net c#1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 int n = 5; float[] xArray = new float[n]; //allocate memory for 5 points float[] yArray = new float[n]; void setup(){ float angle = 2 * PI / n; //divide the circle in n sections for(int i =0; i< n; i++){ //create points along a circle xArray[i] = 50. + 30. * sin(angle*i); yArray[i] = 50. + 30. * cos(angle*i); } } void draw (){ beginShape(POLYGON); for(int i = 0; i < n; i++) vertex(xArray[i],yArray[i]); endShape(CLOSE); }Asp.net Aspx qr-code integratedon .netusing barcode drawer for web form control to generate, create qr-codes image in web form applications.After creating the arrays of size n, you need to fill them with points. To do that, loop for n times and each time the x and y values are assigned. These values are calculated through the following algorithm:Control qr code jis x 0510 size in vb.net qr codes size with visual basic.netFirst, divide a full circle (2*PI) by n sections, which correspond to the number of the equilateral polygon s sides (or the size of the array), and name this ratio angle . Then, store the coordinates of each polygon s vertex in the arrays by using the parametric equation of the circle. Use the stored values in the arrays to draw the polygon vertices.Build bar code for .netuse vs .net crystal barcode printer toembed barcode with .net 2 Pdf417 generating on .netuse .net crystal pdf417 generating toproduce pdf417 2d barcode for .netPoints, Lines, and Shapes Use gs1 datamatrix barcode with .netusing barcode generation for visual .net control to generate, create data matrix image in visual .net applications.The resulting shape is shown in Figure 2-15.Display usd-3 with .netusing .net vs 2010 toget ansi/aim code 93 with asp.net web,windows applicationFigure 2-15: A central polygon implemented for five sides 39 Barcode encoder on .netusing barcode encoding for .net for windows forms control to generate, create uss code 39 image in .net for windows forms applications.2.6 Responsive Polygons UPC Symbol barcode library on excelgenerate, create ucc - 12 none in microsoft excel projectsSo far, the polygons that we have been constructing reside on the screen at a specific location, but they are not interactive. In other words, after a point is laid down, there is no way for the system to interact with it in order to rearrange it in another pattern or make it responsive to the user s actions. The following code develops a method of locating the coordinate positions for each point and then using that information to track and reposition them.Control ean-13 size on word ean / ucc - 13 size for microsoft word1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 int n = 5; float[] px = new float[n]; float[] py = new float[n]; void setup(){ float angle = 2 * PI / n; //divide the circle in n sect for(int i =0; i< n; i++){ px[i] = 50. + 30. * sin(angle*i); py[i] = 50. + 30. * cos(angle*i); } } void draw (){ background(200); beginShape(POLYGON); for(I nt i = 0; i < n; i++) vertex(px[i],py[i]); endShape(CLOSE); for(int i=0; i