c# 二维图形绘制实践

1.等边三角形

1.1 概述

1.2 代码

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

public partial class TriangleForm : Form
{
    public TriangleForm()
    {
        //InitializeComponent();
        // 确保窗体大小足够大，以容纳三角形  
        this.ClientSize = new Size(300, 300);
        this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    }

    protected override void OnPaint(PaintEventArgs e)
    {
        base.OnPaint(e);

        // 定义三角形的大小和位置  
        int sideLength = 100; // 等边三角形外接圆的半径
        int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
        int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  

        // 将30度转换为弧度  
        double degrees = 30;
        double radians = Math.PI * degrees / 180;
        double sinValue = Math.Sin(radians);
        double cosValue = Math.Cos(radians);

        float sinLen = (float)sinValue * sideLength;
        float cosLen = (float)cosValue * sideLength;
        // 计算三角形顶点的位置  
        PointF topVertex = new PointF(centerX, centerY - sideLength );
        PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
        PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);

        // 创建一个Brush对象来填充三角形  
        using (SolidBrush brush = new SolidBrush(Color.LightBlue))
        {
            // 绘制等边三角形  
            e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });

            // 如果你还想绘制三角形的边框，可以使用Pen对象  
            using (Pen pen = new Pen(Color.Black, 2))
            {
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, leftVertex, rightVertex });
            }
        }
    }
    [STAThread]
    static void Main()
    {
        Application.EnableVisualStyles();
        Application.SetCompatibleTextRenderingDefault(false);
        Application.Run(new TriangleForm());
    }
}

1.3 运行结果

2 立方体

2.1 概要

立方体是用等边三角型的图转换过来的

2.2 代码

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

public partial class TriangleForm : Form
{
    public TriangleForm()
    {
        //InitializeComponent();
        // 确保窗体大小足够大，以容纳三角形  
        this.ClientSize = new Size(300, 300);
        this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    }

    protected override void OnPaint(PaintEventArgs e)
    {
        base.OnPaint(e);

        // 定义三角形的大小和位置  
        int sideLength = 100; // 等边三角形的边长  
        int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
        int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  

        // 将30度转换为弧度  
        double degrees = 30;
        double radians = Math.PI * degrees / 180;
        double sinValue = Math.Sin(radians);
        double cosValue = Math.Cos(radians);

        float sinLen = (float)sinValue * sideLength;
        float cosLen = (float)cosValue * sideLength;
        //中心点
        PointF topVertex_center = new PointF(centerX, centerY);
        // 计算三角形顶点的位置  
        PointF topVertex = new PointF(centerX, centerY - cosLen);
        PointF topVertex_left = new PointF(centerX - cosLen, centerY - cosLen + sinLen);
        PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
        PointF topVertex_buttom = new PointF(centerX, centerY + sinLen*2);
        PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);

        PointF topVertex_right = new PointF(centerX + cosLen, centerY - cosLen + sinLen);

        // 创建一个Brush对象来填充三角形  
        using (SolidBrush brush = new SolidBrush(Color.LightBlue))
        {
            // 绘制等边三角形  
            //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });

            // 如果你还想绘制三角形的边框，可以使用Pen对象  
            using (Pen pen = new Pen(Color.Black, 2))
            {
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, topVertex_left, leftVertex, topVertex_buttom, rightVertex, topVertex_right });
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_left });
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_right });
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_buttom });
            }
        }
    }
    [STAThread]
    static void Main()
    {
        Application.EnableVisualStyles();
        Application.SetCompatibleTextRenderingDefault(false);
        Application.Run(new TriangleForm());
    }
}

2.3 运行结果

3 立方体透视图

3.1 概要

透视图是用前面的立方体，去移动顶点演化出来的

3.2 代码

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

public partial class TriangleForm : Form
{
    public TriangleForm()
    {
        //InitializeComponent();
        // 确保窗体大小足够大，以容纳三角形  
        this.ClientSize = new Size(300, 300);
        this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    }

    protected override void OnPaint(PaintEventArgs e)
    {
        base.OnPaint(e);

        // 定义三角形的大小和位置  
        int sideLength = 100; // 等边三角形的边长  
        int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
        int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  

        // 将30度转换为弧度  
        double degrees = 30;
        double radians = Math.PI * degrees / 180;
        double sinValue = Math.Sin(radians);
        double cosValue = Math.Cos(radians);

        float sinLen = (float)sinValue * sideLength;
        float cosLen = (float)cosValue * sideLength;
        float y_yi = 20;
        float x_yi = 10;
        //中心点
        PointF topVertex_center = new PointF(centerX+ x_yi, centerY- y_yi);
        PointF topVertex_center_hou = new PointF(centerX - x_yi, centerY + y_yi);

        // 计算三角形顶点的位置  
        PointF topVertex = new PointF(centerX- x_yi, centerY - cosLen+ y_yi);
        PointF topVertex_left = new PointF(centerX - cosLen, centerY - cosLen + sinLen);
        PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
        PointF topVertex_buttom = new PointF(centerX+ x_yi, centerY + sinLen*2- y_yi);
        PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);

        PointF topVertex_right = new PointF(centerX + cosLen, centerY - cosLen + sinLen);

        // 创建一个Brush对象来填充三角形  
        using (SolidBrush brush = new SolidBrush(Color.LightBlue))
        {
            // 绘制等边三角形  
            //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });

            // 如果你还想绘制三角形的边框，可以使用Pen对象  
            using (Pen pen = new Pen(Color.Black, 2))
            {
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, topVertex_left, leftVertex, topVertex_buttom, rightVertex, topVertex_right });
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_left });
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_right });
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_buttom });
            }

            float[] dashValues = { 50, 5 }; // 虚线由5个像素的实线和5个像素的空白组成  
            Pen dashedPen = new Pen(Color.Black, 1);
            e.Graphics.DrawLine(dashedPen, topVertex_center_hou, leftVertex);
            e.Graphics.DrawLine(dashedPen, topVertex_center_hou, rightVertex);
            e.Graphics.DrawLine(dashedPen, topVertex_center_hou, topVertex);
        }
    }
    [STAThread]
    static void Main()
    {
        Application.EnableVisualStyles();
        Application.SetCompatibleTextRenderingDefault(false);
        Application.Run(new TriangleForm());
    }
}

3.3 运行结果

4.等边三角形的内切圆和外接圆

4.1 概要

4.2 代码

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

public partial class TriangleForm : Form
{
    public TriangleForm()
    {
        //InitializeComponent();
        // 确保窗体大小足够大，以容纳三角形  
        this.ClientSize = new Size(300, 300);
        this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    }

    protected override void OnPaint(PaintEventArgs e)
    {
        base.OnPaint(e);

        // 定义三角形的大小和位置  
        int sideLength = 100; // 内接圆半径
        int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
        int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  

        // 将30度转换为弧度  
        double degrees = 30;
        double radians = Math.PI * degrees / 180;
        double sinValue = Math.Sin(radians);
        double cosValue = Math.Cos(radians);

        float sinLen = (float)sinValue * sideLength;
        float cosLen = (float)cosValue * sideLength;

        // 计算三角形顶点的位置  
        PointF topVertex = new PointF(centerX, centerY - sideLength);
        PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
        PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);

        // 设置圆形的边界矩形（位置和大小）  
        Rectangle rect = new Rectangle(centerX- (int)sinLen, centerY- (int)sinLen, (int)(sinLen*2), (int)(sinLen*2)); // x=50, y=50, 宽度=100, 高度=100
        Rectangle rect2 = new Rectangle(centerX - (int)sideLength, centerY - (int)sideLength, sideLength*2, sideLength*2); // x=50, y=50, 宽度=100, 高度=100

        // 创建一个Brush对象来填充三角形  
        using (SolidBrush brush = new SolidBrush(Color.LightBlue))
        {
            // 绘制等边三角形  
            //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });

            // 如果你还想绘制三角形的边框，可以使用Pen对象  
            using (Pen pen = new Pen(Color.Black, 2))
            {
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex,  leftVertex, rightVertex, });

                e.Graphics.DrawEllipse(pen, rect2);
                e.Graphics.DrawEllipse(pen, rect);
            }
        }
    }
    [STAThread]
    static void Main()
    {
        Application.EnableVisualStyles();
        Application.SetCompatibleTextRenderingDefault(false);
        Application.Run(new TriangleForm());
    }
}

4.3 运行结果

5.直角三角形的内接圆

5.1 概要

5.2 代码

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

public partial class TriangleForm : Form
{
    public TriangleForm()
    {
        //InitializeComponent();
        // 确保窗体大小足够大，以容纳三角形  
        this.ClientSize = new Size(300, 300);
        this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    }

    protected override void OnPaint(PaintEventArgs e)
    {
        base.OnPaint(e);

        // 定义三角形的大小和位置  
        int sideLength = 50; // 内接圆半径
        int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
        int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  

        // 将30度转换为弧度  
        double degrees = 22.5;
        double radians = Math.PI * degrees / 180;
        double sinValue = Math.Sin(radians);
        double cosValue = Math.Cos(radians);
        double tanValue = Math.Tan(radians);

        float sinLen = (float)sinValue * sideLength;
        float cosLen = (float)cosValue * sideLength;
        float tanLen = (float)(sideLength/ tanValue);

        // 计算三角形顶点的位置  
        PointF topVertex = new PointF(centerX+ sideLength, centerY - tanLen);
        PointF leftVertex = new PointF(centerX - tanLen, centerY + sideLength);
        PointF rightVertex = new PointF(centerX + sideLength, centerY + sideLength);

        // 设置圆形的边界矩形（位置和大小）  
        //Rectangle rect = new Rectangle(centerX - (int)sinLen, centerY - (int)sinLen, (int)(sinLen * 2), (int)(sinLen * 2)); // x=50, y=50, 宽度=100, 高度=100
        Rectangle rect2 = new Rectangle(centerX - (int)sideLength, centerY - (int)sideLength, sideLength * 2, sideLength * 2); // x=50, y=50, 宽度=100, 高度=100

        // 创建一个Brush对象来填充三角形  
        using (SolidBrush brush = new SolidBrush(Color.LightBlue))
        {
            // 绘制等边三角形  
            //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });

            // 如果你还想绘制三角形的边框，可以使用Pen对象  
            using (Pen pen = new Pen(Color.Black, 2))
            {
                e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, leftVertex, rightVertex, });

                e.Graphics.DrawEllipse(pen, rect2);
                //e.Graphics.DrawEllipse(pen, rect);
            }
        }
    }
    [STAThread]
    static void Main()
    {
        Application.EnableVisualStyles();
        Application.SetCompatibleTextRenderingDefault(false);
        Application.Run(new TriangleForm());
    }
}

5.3 运行结果