C# 谢尔宾斯基地毯

谢尔宾斯基地毯是一种分形图形，可以使用C#编程语言进行绘制。下面是一个绘制谢尔宾斯基地毯的C#代码示例：

using System;
using System.Drawing;
using System.Windows.Forms;

namespace SierpinskiCarpet
{
    public partial class Form1 : Form
    {
        private Graphics graphics;
        private int depth;

        public Form1()
        {
            InitializeComponent();
            graphics = CreateGraphics();
            depth = 0;
        }

        private void DrawSierpinskiCarpet(int x, int y, int width, int height, int depth)
        {
            if (depth == 0)
            {
                graphics.FillRectangle(Brushes.Black, x, y, width, height);
            }
            else
            {
                int newWidth = width / 3;
                int newHeight = height / 3;
                int newX = x + newWidth;
                int newY = y + newHeight;

                DrawSierpinskiCarpet(x, y, newWidth, newHeight, depth - 1);
                DrawSierpinskiCarpet(newX, y, newWidth, newHeight, depth - 1);
                DrawSierpinskiCarpet(newX + newWidth, y, newWidth, newHeight, depth - 1);
                DrawSierpinskiCarpet(x, newY, newWidth, newHeight, depth - 1);
                DrawSierpinskiCarpet(newX + newWidth, newY, newWidth, newHeight, depth - 1);
                DrawSierpinskiCarpet(x, newY + newHeight, newWidth, newHeight, depth - 1);
                DrawSierpinskiCarpet(newX, newY + newHeight, newWidth, newHeight, depth - 1);
                DrawSierpinskiCarpet(newX + newWidth, newY + newHeight, newWidth, newHeight, depth - 1);
            }
        }

        private void button1_Click(object sender, EventArgs e)
        {
            graphics.Clear(Color.White);
            depth++;
            DrawSierpinskiCarpet(0, 0, Width, Height, depth);
        }

        private void button2_Click(object sender, EventArgs e)
        {
            graphics.Clear(Color.White);
            depth--;
            DrawSierpinskiCarpet(0, 0, Width, Height, depth);
        }
    }
}

这段代码使用了Windows Forms框架，创建了一个窗体，通过点击按钮可以增加或减少谢尔宾斯基地毯的深度。在DrawSierpinskiCarpet方法中，使用递归的方式绘制了谢尔宾斯基地毯的每一层。在绘制最底层时，使用黑色填充矩形来表示地毯的一部分。