使用图形在C ++中创建蝴蝶主题分形

用Layman的话来说，分形是在计算和数学交织在一起时形成的美丽模式。为了获得一些技术性知识，它们本质上是递归的，因此当查看给定分形的某个子集时，似乎会出现类似的模式。

在本文中，生成了一种新型的分形图案，如下所示：

方法：

1. 递归转到分形树的末端分支。
2. 当分支的长度达到我们的阈值时，画出该特定分支并退出函数。
3. 为了使颜色在几次迭代中保持相似，我们使用类型转换，因为((colorVal％15000)/ 1000 + 1)会给出相同值的光谱，即相同颜色在迭代前进行上千次。

下面是上述方法的实现：

// C++ code to Create a Butterfly 
// themed Fractal using Graphics
  
#include 
#include 
#include 
  
#define Y 1080
#define X 1920
  
// c is defined as the angle between each
// iterative lines, changing this would result
// in different and interesting patterns.
#define c 5 * M_PI / 7
  
// colorVal is used to provide different colors
// for each iterating point/line in the cycle.
int colorVal = 0;
  
// The core function in the program which is
// recursive in nature and terminates when the
// line size is less than 0.1 pixels.
int Pyt_Tree(float x, float y, float r, float ang)
{
  
    // Max iteration condition so as to increase
    // the accuracy of the fractal pattern.
    // The closer it is to zero the higher the
    // details but would cost more processing time.
    if (r < 0.1) {
  
        // combination of type casting and iteration
        // so as to provide a Greatest Integer Function
        // sort of manipulation for the color input.
        setcolor((colorVal++ % 15000) / 1000 + 1);
  
        // Conversion of the parametric coordinates
        // of the points to the Argand coordinates
        // while displaying them.
        line(x, y, x - r * sin(ang), y - r * cos(ang));
  
        return 0;
    }
  
    float r_n;
  
    if (c > M_PI / 4) {
        r_n = sin(c);
    }
    else {
        r_n = cos(c);
    }
  
    // Recursive calling of the Pyt_Tree() function
    // to get towards the end of the branch of the
    // fractal tree.
    Pyt_Tree(x - r * sin(ang), y - r * cos(ang),
             r / (2 * r_n), (ang + c));
    Pyt_Tree(x - r * sin(ang), y - r * cos(ang),
             r / (2 * r_n), (ang - c));
  
    return 0;
}
  
// Driver code
int main()
{
    initwindow(X, Y);
    Pyt_Tree(X / 2, Y, Y * 0.9, 0);
    getch();
    closegraph();
    return 0;
}

输出：

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