• c# 二维图形绘制实践

    1.等边三角形

    1.1 概述

    1.2 代码

    1. using System;
    2. using System.Drawing;
    3. using System.Windows.Forms;
    4.  
    5. public partial class TriangleForm : Form
    6. {
    7.     public TriangleForm()
    8.     {
    9.         //InitializeComponent();
    10.         // 确保窗体大小足够大，以容纳三角形  
    11.         this.ClientSize = new Size(300, 300);
    12.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    13.     }
    14.  
    15.     protected override void OnPaint(PaintEventArgs e)
    16.     {
    17.         base.OnPaint(e);
    18.  
    19.         // 定义三角形的大小和位置  
    20.         int sideLength = 100; // 等边三角形外接圆的半径
    21.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
    22.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
    23.  
    24.         // 将30度转换为弧度  
    25.         double degrees = 30;
    26.         double radians = Math.PI * degrees / 180;
    27.         double sinValue = Math.Sin(radians);
    28.         double cosValue = Math.Cos(radians);
    29.  
    30.         float sinLen = (float)sinValue * sideLength;
    31.         float cosLen = (float)cosValue * sideLength;
    32.         // 计算三角形顶点的位置  
    33.         PointF topVertex = new PointF(centerX, centerY - sideLength );
    34.         PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
    35.         PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);
    36.  
    37.         // 创建一个Brush对象来填充三角形  
    38.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
    39.         {
    40.             // 绘制等边三角形  
    41.             e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
    42.  
    43.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
    44.             using (Pen pen = new Pen(Color.Black, 2))
    45.             {
    46.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, leftVertex, rightVertex });
    47.             }
    48.         }
    49.     }
    50.     [STAThread]
    51.     static void Main()
    52.     {
    53.         Application.EnableVisualStyles();
    54.         Application.SetCompatibleTextRenderingDefault(false);
    55.         Application.Run(new TriangleForm());
    56.     }
    57. }

    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

    1. using System;
    2. using System.Drawing;
    3. using System.Windows.Forms;
    4.  
    5. public partial class TriangleForm : Form
    6. {
    7.     public TriangleForm()
    8.     {
    9.         //InitializeComponent();
    10.         // 确保窗体大小足够大，以容纳三角形  
    11.         this.ClientSize = new Size(300, 300);
    12.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    13.     }
    14.  
    15.     protected override void OnPaint(PaintEventArgs e)
    16.     {
    17.         base.OnPaint(e);
    18.  
    19.         // 定义三角形的大小和位置  
    20.         int sideLength = 100; // 等边三角形的边长  
    21.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
    22.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
    23.  
    24.         // 将30度转换为弧度  
    25.         double degrees = 30;
    26.         double radians = Math.PI * degrees / 180;
    27.         double sinValue = Math.Sin(radians);
    28.         double cosValue = Math.Cos(radians);
    29.  
    30.         float sinLen = (float)sinValue * sideLength;
    31.         float cosLen = (float)cosValue * sideLength;
    32.         //中心点
    33.         PointF topVertex_center = new PointF(centerX, centerY);
    34.         // 计算三角形顶点的位置  
    35.         PointF topVertex = new PointF(centerX, centerY - cosLen);
    36.         PointF topVertex_left = new PointF(centerX - cosLen, centerY - cosLen + sinLen);
    37.         PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
    38.         PointF topVertex_buttom = new PointF(centerX, centerY + sinLen*2);
    39.         PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);
    40.  
    41.         PointF topVertex_right = new PointF(centerX + cosLen, centerY - cosLen + sinLen);
    42.  
    43.         // 创建一个Brush对象来填充三角形  
    44.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
    45.         {
    46.             // 绘制等边三角形  
    47.             //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
    48.  
    49.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
    50.             using (Pen pen = new Pen(Color.Black, 2))
    51.             {
    52.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, topVertex_left, leftVertex, topVertex_buttom, rightVertex, topVertex_right });
    53.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_left });
    54.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_right });
    55.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_buttom });
    56.             }
    57.         }
    58.     }
    59.     [STAThread]
    60.     static void Main()
    61.     {
    62.         Application.EnableVisualStyles();
    63.         Application.SetCompatibleTextRenderingDefault(false);
    64.         Application.Run(new TriangleForm());
    65.     }
    66. }

    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

    1. using System;
    2. using System.Drawing;
    3. using System.Net;
    4. using System.Windows.Forms;
    5.  
    6. public partial class TriangleForm : Form
    7. {
    8.     public TriangleForm()
    9.     {
    10.         //InitializeComponent();
    11.         // 确保窗体大小足够大，以容纳三角形  
    12.         this.ClientSize = new Size(300, 300);
    13.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    14.     }
    15.  
    16.     protected override void OnPaint(PaintEventArgs e)
    17.     {
    18.         base.OnPaint(e);
    19.  
    20.         // 定义三角形的大小和位置  
    21.         int sideLength = 100; // 等边三角形的边长  
    22.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
    23.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
    24.  
    25.         // 将30度转换为弧度  
    26.         double degrees = 30;
    27.         double radians = Math.PI * degrees / 180;
    28.         double sinValue = Math.Sin(radians);
    29.         double cosValue = Math.Cos(radians);
    30.  
    31.         float sinLen = (float)sinValue * sideLength;
    32.         float cosLen = (float)cosValue * sideLength;
    33.         float y_yi = 20;
    34.         float x_yi = 10;
    35.         //中心点
    36.         PointF topVertex_center = new PointF(centerX+ x_yi, centerY- y_yi);
    37.         PointF topVertex_center_hou = new PointF(centerX - x_yi, centerY + y_yi);
    38.  
    39.         // 计算三角形顶点的位置  
    40.         PointF topVertex = new PointF(centerX- x_yi, centerY - cosLen+ y_yi);
    41.         PointF topVertex_left = new PointF(centerX - cosLen, centerY - cosLen + sinLen);
    42.         PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
    43.         PointF topVertex_buttom = new PointF(centerX+ x_yi, centerY + sinLen*2- y_yi);
    44.         PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);
    45.  
    46.         PointF topVertex_right = new PointF(centerX + cosLen, centerY - cosLen + sinLen);
    47.  
    48.         // 创建一个Brush对象来填充三角形  
    49.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
    50.         {
    51.             // 绘制等边三角形  
    52.             //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
    53.  
    54.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
    55.             using (Pen pen = new Pen(Color.Black, 2))
    56.             {
    57.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, topVertex_left, leftVertex, topVertex_buttom, rightVertex, topVertex_right });
    58.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_left });
    59.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_right });
    60.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex_center, topVertex_buttom });
    61.             }
    62.  
    63.             float[] dashValues = { 50, 5 }; // 虚线由5个像素的实线和5个像素的空白组成  
    64.             Pen dashedPen = new Pen(Color.Black, 1);
    65.             e.Graphics.DrawLine(dashedPen, topVertex_center_hou, leftVertex);
    66.             e.Graphics.DrawLine(dashedPen, topVertex_center_hou, rightVertex);
    67.             e.Graphics.DrawLine(dashedPen, topVertex_center_hou, topVertex);
    68.         }
    69.     }
    70.     [STAThread]
    71.     static void Main()
    72.     {
    73.         Application.EnableVisualStyles();
    74.         Application.SetCompatibleTextRenderingDefault(false);
    75.         Application.Run(new TriangleForm());
    76.     }
    77. }

    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

    1. using System;
    2. using System.Drawing;
    3. using System.Net;
    4. using System.Windows.Forms;
    5.  
    6. public partial class TriangleForm : Form
    7. {
    8.     public TriangleForm()
    9.     {
    10.         //InitializeComponent();
    11.         // 确保窗体大小足够大，以容纳三角形  
    12.         this.ClientSize = new Size(300, 300);
    13.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    14.     }
    15.  
    16.     protected override void OnPaint(PaintEventArgs e)
    17.     {
    18.         base.OnPaint(e);
    19.  
    20.         // 定义三角形的大小和位置  
    21.         int sideLength = 100; // 内接圆半径
    22.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
    23.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
    24.  
    25.         // 将30度转换为弧度  
    26.         double degrees = 30;
    27.         double radians = Math.PI * degrees / 180;
    28.         double sinValue = Math.Sin(radians);
    29.         double cosValue = Math.Cos(radians);
    30.  
    31.         float sinLen = (float)sinValue * sideLength;
    32.         float cosLen = (float)cosValue * sideLength;
    33.  
    34.         // 计算三角形顶点的位置  
    35.         PointF topVertex = new PointF(centerX, centerY - sideLength);
    36.         PointF leftVertex = new PointF(centerX - cosLen, centerY + sinLen);
    37.         PointF rightVertex = new PointF(centerX + cosLen, centerY + sinLen);
    38.  
    39.         // 设置圆形的边界矩形（位置和大小）  
    40.         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
    41.         Rectangle rect2 = new Rectangle(centerX - (int)sideLength, centerY - (int)sideLength, sideLength*2, sideLength*2); // x=50, y=50, 宽度=100, 高度=100
    42.  
    43.         // 创建一个Brush对象来填充三角形  
    44.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
    45.         {
    46.             // 绘制等边三角形  
    47.             //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
    48.  
    49.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
    50.             using (Pen pen = new Pen(Color.Black, 2))
    51.             {
    52.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex,  leftVertex, rightVertex, });
    53.  
    54.                 e.Graphics.DrawEllipse(pen, rect2);
    55.                 e.Graphics.DrawEllipse(pen, rect);
    56.             }
    57.         }
    58.     }
    59.     [STAThread]
    60.     static void Main()
    61.     {
    62.         Application.EnableVisualStyles();
    63.         Application.SetCompatibleTextRenderingDefault(false);
    64.         Application.Run(new TriangleForm());
    65.     }
    66. }

    4.3 运行结果

    5.直角三角形的内接圆

    5.1 概要

    5.2 代码

    1. using System;
    2. using System.Drawing;
    3. using System.Net;
    4. using System.Windows.Forms;
    5.  
    6. public partial class TriangleForm : Form
    7. {
    8.     public TriangleForm()
    9.     {
    10.         //InitializeComponent();
    11.         // 确保窗体大小足够大，以容纳三角形  
    12.         this.ClientSize = new Size(300, 300);
    13.         this.DoubleBuffered = true; // 启用双缓冲，以减少绘图时的闪烁  
    14.     }
    15.  
    16.     protected override void OnPaint(PaintEventArgs e)
    17.     {
    18.         base.OnPaint(e);
    19.  
    20.         // 定义三角形的大小和位置  
    21.         int sideLength = 50; // 内接圆半径
    22.         int centerX = this.ClientSize.Width / 2; // 三角形中心点的X坐标  
    23.         int centerY = this.ClientSize.Height / 2; // 三角形中心点的Y坐标  
    24.  
    25.         // 将30度转换为弧度  
    26.         double degrees = 22.5;
    27.         double radians = Math.PI * degrees / 180;
    28.         double sinValue = Math.Sin(radians);
    29.         double cosValue = Math.Cos(radians);
    30.         double tanValue = Math.Tan(radians);
    31.  
    32.         float sinLen = (float)sinValue * sideLength;
    33.         float cosLen = (float)cosValue * sideLength;
    34.         float tanLen = (float)(sideLength/ tanValue);
    35.  
    36.         // 计算三角形顶点的位置  
    37.         PointF topVertex = new PointF(centerX+ sideLength, centerY - tanLen);
    38.         PointF leftVertex = new PointF(centerX - tanLen, centerY + sideLength);
    39.         PointF rightVertex = new PointF(centerX + sideLength, centerY + sideLength);
    40.  
    41.         // 设置圆形的边界矩形（位置和大小）  
    42.         //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
    43.         Rectangle rect2 = new Rectangle(centerX - (int)sideLength, centerY - (int)sideLength, sideLength * 2, sideLength * 2); // x=50, y=50, 宽度=100, 高度=100
    44.  
    45.         // 创建一个Brush对象来填充三角形  
    46.         using (SolidBrush brush = new SolidBrush(Color.LightBlue))
    47.         {
    48.             // 绘制等边三角形  
    49.             //e.Graphics.FillPolygon(brush, new PointF[] { topVertex, leftVertex, rightVertex });
    50.  
    51.             // 如果你还想绘制三角形的边框，可以使用Pen对象  
    52.             using (Pen pen = new Pen(Color.Black, 2))
    53.             {
    54.                 e.Graphics.DrawPolygon(pen, new PointF[] { topVertex, leftVertex, rightVertex, });
    55.  
    56.                 e.Graphics.DrawEllipse(pen, rect2);
    57.                 //e.Graphics.DrawEllipse(pen, rect);
    58.             }
    59.         }
    60.     }
    61.     [STAThread]
    62.     static void Main()
    63.     {
    64.         Application.EnableVisualStyles();
    65.         Application.SetCompatibleTextRenderingDefault(false);
    66.         Application.Run(new TriangleForm());
    67.     }
    68. }

    5.3 运行结果

     

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  • 原文地址：https://blog.csdn.net/xie__jin__cheng/article/details/139599591