谢宾斯基三角形java

以下是Java语言实现谢尔宾斯基三角形的代码：

import java.awt.Color;
import java.awt.Graphics;
import javax.swing.JFrame;

public class SierpinskiTriangle extends JFrame {
    private static final long serialVersionUID = 1L;
    private int depth = 0;

    public SierpinskiTriangle(int depth) {
        super("Sierpinski Triangle");
        setSize(600, 600);
        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        this.depth = depth;
    }

    public void paint(Graphics g) {
        super.paint(g);
        int x1 = 300, y1 = 50, x2 = 50, y2 = 550, x3 = 550, y3 = 550;
        drawSierpinskiTriangle(g, depth, x1, y1, x2, y2, x3, y3);
    }

    private void drawSierpinskiTriangle(Graphics g, int depth, int x1, int y1, int x2, int y2, int x3, int y3) {
        if (depth == 0) {
            g.drawLine(x1, y1, x2, y2);
            g.drawLine(x2, y2, x3, y3);
            g.drawLine(x3, y3, x1, y1);
        } else {
            int x12 = (x1 + x2) / 2;
            int y12 = (y1 + y2) / 2;
            int x23 = (x2 + x3) / 2;
            int y23 = (y2 + y3) / 2;
            int x31 = (x3 + x1) / 2;
            int y31 = (y3 + y1) / 2;
            drawSierpinskiTriangle(g, depth - 1, x1, y1, x12, y12, x31, y31);
            drawSierpinskiTriangle(g, depth - 1, x12, y12, x2, y2, x23, y23);
            drawSierpinskiTriangle(g, depth - 1, x31, y31, x23, y23, x3, y3);
        }
    }

    public static void main(String[] args) {
        SierpinskiTriangle sierpinskiTriangle = new SierpinskiTriangle(5);
        sierpinskiTriangle.getContentPane().setBackground(Color.WHITE);
        sierpinskiTriangle.setVisible(true);
    }
}

这段代码使用Java的Swing库实现了谢尔宾斯基三角形的绘制。在`paint`方法中，定义了三个点的坐标，然后调用`drawSierpinskiTriangle`方法进行绘制。`drawSierpinskiTriangle`方法使用递归的方式进行绘制，每次递归深度减1，直到深度为0时绘制三角形。