polygon diamonds

Method One: Green formulaThe green formula reveals the relationship between the double integral of the planar area and the line integral on the closed curve .where L + indicates a positive boundary curve along a closed area.And by the derivation process of the green formula we know:If L=-y here, the (1) formula is guaranteed to be constant in the area and equal to the area of the closed area.Similarly, m=x can also guarantee (2) that the formula is constant in the area and equal to the area of

In the process of drawing with OpenGL, since OpenGL does not support direct drawing of concave polygon, we usually need to first convert the concave polygon into a group of triangles with a triangular Polygon Algorithm 1) use a one-way cyclic linked list to save the polygon vertices and calculate the convex and conca

Easy to view and reprint 1. How to determine whether a polygon is clockwise or counterclockwiseFor a convex polygon, you only need to calculate a certain point.Cross Product = (Xi-XI-1), (Yi-Yi-1) x (XI + 1-xi), (yi + 1-yi ))= (Xi-XI-1) * (yi + 1-yi)-(Yi-Yi-1) * (XI + 1-xi) If the value of the preceding formula is positive, it is counter-clockwise. If it is negative, it is clockwise. For a general simple

Original works can be reprinted. During reprinting, you must mark the original source, author information, and this statement in hyperlink form. Otherwise, legal liability will be held. Http://yarin.blog.51cto.com/1130898/380265 Lesson 2: Polygon Your first polygon: Based on the first tutorial, we added a triangle and a quadrilateral. You may think this is simple, but you have taken a big step to know tha

To the users of the illustrator software to detailed analysis to share a polygon poster Drawing example Tutorial. Tutorial Sharing: The first step in design Image Source:gilberto Taccari Just take over the design project, you stare at the blank canvas, feel no way, you scratch scratching head, ask yourself "How to start ah", some designers will be in the brain for a quick idea, some designers will first pic

Topic Meaning:An n-shaped N-vertex is given to find the coordinate of the center of gravity of the N-side shape.http://acm.hdu.edu.cn/showproblem.php?pid=1115Topic Analysis:/*** Source: http://blog.csdn.net/ysc504/article/details/8812339*① quality centered on vertices* N Vertex coordinates (xi,yi), MI in mass, center of gravity* X =∑ (XIXMI)/∑mi* Y =∑ (YIXMI)/∑mi* Specifically, if the quality of each point is the same, then* X =∑xi/n* Y =∑yi/n*② Uniform mass Distribution* Specially, the quality

Low polygon (low-poly) font design is the latest and most popular design trend. The low polygon font design is based primarily on a 3D mesh with a small number of polygons, combined with some rendering techniques and lighting effects, making these grids look like paper crafts or origami. Low-polygon is usually required to use 3D software, but this tutorial will

A friend is doing map-related programs, the requirements of the program is: There are a lot of points on the map, stored in the database, input is a polygon, output is contained in this polygon point. A friend discovers that there is a function in Oracle that solves this problem: We then learned about the Oracle spatial API to implement the query functionality. --Create TABLE t2 (ID number, location sdo_geo

The problem of judging convex polygon by vector fork multiplication I'm doing a problem, the title is to give the coordinates of several points in a counter-clockwise order, to find out whether the polygon is concave or convex. I saw a formula on the Internet: Three points on the plane: P1 (x1,y1), p2 (x2,y2), P3 (X3,Y3) S (p1,p2,p3) = (x1-x3) * (y2-y3)-(X2-X3) * (Y1-Y3) If s>0 indicates that these

HTML5 Canvas is used to draw triangles, rectangles, and other polygon. html5canvas The main attributes and methods of the CanvasRenderingContext2D object required to draw a polygon using HTML5 Canvas (the method is "()") are as follows: Attribute or Method Basic description StrokeStyle Used to set the color, gradient, and mode of the paint path. The value of this attribute c

IV, Basic arc Collision Response What we need to do below is to separate two objects with a given amount, and add a little friction and some static friction, so that the object can rest on the inclined surface. This part uses a simple speed to influence the algorithm. Similarly, in order to make the Collision Response more realistic, the object is given quality (better is the reciprocal of quality ). The reciprocal of mass is commonly used. The zero value means that the object has an infinite

// Calculate AreaPublic static double calcarea (arraylist pointx, arraylist pointy, string mapunits){ Int COUNT = pointx. count;If (count> 2){Double mtotalarea = 0; If (mapunits = "Degrees") // spherical polygon under the coordinate of latitude and longitude{Double lowx = 0.0;Double Lowy = 0.0;Double middlex = 0.0;Double middley = 0.0;Double highx = 0.0;Double highy = 0.0; Double AM = 0.0;Double Bm = 0.0;Double CM = 0.0; Double Al = 0.0;Double BL = 0.

Question: view a polygon from a point on the polygon and output the visible side (the part of the side is also counted, of course, only one endpoint is not counted) Analysis: we can regard that point as a light source, and then enumerate the light emitted from the light source. It is impossible to enumerate each light source directly. Only some special light can be enumerated, that is, the light passing thr

Title Address: http://acm.hdu.edu.cn/showproblem.php?pid=3685Idea: First, the polygon center of gravity, placed on the edge must be convex edge. Determine if the center of gravity falls between the edges (find the distance between the line and the point to the line).40 04 08 44 4Note that the center of gravity cannot be on the perpendicular of the convex edge end.#include Hdu 3685 Rotational Painting (Polygon