门格海绵

最终效果：

实现思路：

1. 分割为一块一块的正方体去构建，每构建一块正方体，对其进行递归操作，实现“海绵”的效果

2. 对于每一块正方体，通过画三个面实现正方体的展现

代码实现：

1. 构建每一个正方体

   通过Polygon，添入各个点，实现三个面的颜色填充，使其呈现为一个正方体

   **<u>值得注意的是，要沿同一方向（顺/逆时针）来加入点，否则会导致填充错误！</u>**

1. 随后，对这个正方体构建门格海绵，通过递归来使这个正方体形成海绵的样子

2. 以此类推，从后到前、从下到上的去构建每一个正方体，最后拼接形成一整个门格海绵

//paint()函数：
public void paint(Graphics g){
        super.paint(g);
        DrawSponge(300,300,200,200,50,50,g);
  }

//Draw3DRect()函数：
public void Draw3DRect(int x,int y,int w,int h,int dx,int dy,Graphics g){
        Point point1= new Point(x,y);
        Point point2= new Point(x+w,y);
        Point point3= new Point(x+w,y+h);
        Point point4= new Point(x,y+h);
        Point point5= new Point(x+dx,y-dy);
        Point point6= new Point(point2.x+dx, point2.y-dy);
        Point point7= new Point(point6.x, point6.y+h);

        Polygon pl1 = new Polygon();
        pl1.addPoint(point1.x, point1.y);
        pl1.addPoint(point2.x, point2.y);
        pl1.addPoint(point3.x, point3.y);
        pl1.addPoint(point4.x, point4.y);
        Color color1 = new Color(166,157,11);
        g.setColor(color1);
        g.fillPolygon(pl1);
//                  另两面的构造方法同上~

//DrawSponge()函数：
public void DrawSponge(int x,int y,int w,int h,int dx,int dy,Graphics g){
    Draw3DRect(某一个正方体)
    DrawSponge(同一个正方体)
//                共有20个正方体按此方法来构造
}

对于DrawSponge()函数：

每次构造都从左前下方的正方体开始构造，所以对于某一小正方体进行门格海绵的构造时，要注意起始正方体的坐标

完整代码：

public class MSponge extends JFrame {
    public MSponge(){
        setTitle("门格海绵");
        setSize(1000,1000);
        setResizable(true);
        setLocationRelativeTo(null);
        setDefaultCloseOperation(EXIT_ON_CLOSE);
        setVisible(true);
    }

    @Override
    public void paint(Graphics g){
        super.paint(g);
        DrawSponge(500,500,200,200,50,50,g);
    }

    public void Draw3DRect(int x,int y,int w,int h,int dx,int dy,Graphics g){
        Point point1= new Point(x,y);
        Point point2= new Point(x+w,y);
        Point point3= new Point(x+w,y+h);
        Point point4= new Point(x,y+h);
        Point point5= new Point(x+dx,y-dy);
        Point point6= new Point(point2.x+dx, point2.y-dy);
        Point point7= new Point(point6.x, point6.y+h);

        Polygon pl1 = new Polygon();
        pl1.addPoint(point1.x, point1.y);
        pl1.addPoint(point2.x, point2.y);
        pl1.addPoint(point3.x, point3.y);
        pl1.addPoint(point4.x, point4.y);
        Color color1 = new Color(217,218,11);
        g.setColor(color1);
        g.fillPolygon(pl1);
        g.setColor(Color.gray);
        g.drawPolygon(pl1);

        Polygon pl2 = new Polygon();
        pl2.addPoint(point1.x, point1.y);
        pl2.addPoint(point5.x, point5.y);
        pl2.addPoint(point6.x, point6.y);
        pl2.addPoint(point2.x, point2.y);
        Color color2 = new Color(14,150,4);
        g.setColor(color2);
        g.fillPolygon(pl2);
        g.setColor(Color.gray);
        g.drawPolygon(pl2);

        Polygon pl3 = new Polygon();
        pl3.addPoint(point2.x, point2.y);
        pl3.addPoint(point6.x, point6.y);
        pl3.addPoint(point7.x, point7.y);
        pl3.addPoint(point3.x, point3.y);
        Color color3 = new Color(18,49,74);
        g.setColor(color3);
        g.fillPolygon(pl3);
        g.setColor(Color.gray);
        g.drawPolygon(pl3);
    }
    public void DrawSponge(int x,int y,int w,int h,int dx,int dy,Graphics g){
        if(w<10) return;
        Draw3DRect(x,y,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3,y-2*dy/3+2*h/3,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x+w,y,w,h,dx,dy,g);
        DrawSponge(x+w+2*dx/3,y-2*dy/3+2*h/3,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x+2*w,y,w,h,dx,dy,g);
        DrawSponge(x+2*w+2*dx/3,y-2*dy/3+2*h/3,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-dx,y+dy,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-dx,y-2*dy/3+2*h/3+dy,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-dx+2*w,y+dy,w,h,dx,dy,g);
        DrawSponge(x+2*w+2*dx/3-dx,y-2*dy/3+2*h/3+dy,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-2*dx,y+2*dy,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-2*dx,y-2*dy/3+2*h/3+2*dy,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-2*dx+w,y+2*dy,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-2*dx+w,y-2*dy/3+2*h/3+2*dy,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-2*dx+2*w,y+2*dy,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-2*dx+2*w,y-2*dy/3+2*h/3+2*dy,w/3,h/3,dx/3,dy/3,g);
/////////////////////底层构建完成
        Draw3DRect(x,y-h,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3,y-2*dy/3+2*h/3-h,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x+2*w,y-h,w,h,dx,dy,g);
        DrawSponge(x+2*w+2*dx/3,y-2*dy/3+2*h/3-h,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-2*dx,y+2*dy-h,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-2*dx,y-2*dy/3+2*h/3+2*dy-h,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-2*dx+2*w,y+2*dy-h,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-2*dx+2*w,y-2*dy/3+2*h/3+2*dy-h,w/3,h/3,dx/3,dy/3,g);
///////////////////////中层构建完成
        Draw3DRect(x,y-2*h,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3,y-2*dy/3+2*h/3-2*h,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x+w,y-2*h,w,h,dx,dy,g);
        DrawSponge(x+w+2*dx/3,y-2*dy/3+2*h/3-2*h,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x+2*w,y-2*h,w,h,dx,dy,g);
        DrawSponge(x+2*w+2*dx/3,y-2*dy/3+2*h/3-2*h,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-dx,y+dy-2*h,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-dy,y-2*dy/3+2*h/3-2*h+dy,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-dx+2*w,y+dy-2*h,w,h,dx,dy,g);
        DrawSponge(x+2*w+2*dx/3-dx,y-2*dy/3+2*h/3-2*h+dy,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-2*dx,y+2*dy-2*h,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-2*dx,y-2*dy/3+2*h/3+2*dy-2*h,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-2*dx+w,y+2*dy-2*h,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-2*dx+w,y-2*dy/3+2*h/3+2*dy-2*h,w/3,h/3,dx/3,dy/3,g);

        Draw3DRect(x-2*dx+2*w,y+2*dy-2*h,w,h,dx,dy,g);
        DrawSponge(x+2*dx/3-2*dx+2*w,y-2*dy/3+2*h/3+2*dy-2*h,w/3,h/3,dx/3,dy/3,g);
/////////////////////上层构建完成
    }

    public static void main(String[] args) {
        new MSponge();
    }
}

成品：