■ 시어핀스키 8각형(Sierpinski Octagon) 그리기

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TestProject.zip


Octagon.cs

 

 

using System;

using System.Collections.Generic;

using System.Drawing;

 

namespace TestProject

{

    /// <summary>

    /// 8각형

    /// </summary>

    public class Octagon

    {

        //////////////////////////////////////////////////////////////////////////////////////////////////// Field

        ////////////////////////////////////////////////////////////////////////////////////////// Static

        //////////////////////////////////////////////////////////////////////////////// Private

 

        #region Field

 

        /// <summary>

        /// 난수기

        /// </summary>

        private static Random _random = new Random();

 

        /// <summary>

        /// 색상 배열

        /// </summary>

        private static Color[] _colorArray =

        {

            Color.Aquamarine,

            Color.Red,

            Color.Orange,

            Color.Yellow,

            Color.SeaShell,

            Color.RosyBrown,

            Color.Cyan,

            Color.Blue,

            Color.LightBlue,

            Color.Fuchsia,

            Color.Beige,

            Color.BlueViolet,

            Color.Orange

        };

 

        #endregion

 

        ////////////////////////////////////////////////////////////////////////////////////////// Instance

        //////////////////////////////////////////////////////////////////////////////// Public

 

        #region Field

 

        /// <summary>

        /// 포인트 배열

        /// </summary>

        public PointF[] PointArray = null;

 

        /// <summary>

        /// 채우기 색상

        /// </summary>

        public Color FillColor = Color.Black;

 

        /// <summary>

        /// 자식 리스트

        /// </summary>

        public List<Octagon> ChildList = new List<Octagon>();

 

        #endregion

 

        //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor

        ////////////////////////////////////////////////////////////////////////////////////////// Public

 

        #region 생성자 - Octagon(pointArray)

 

        /// <summary>

        /// 생성자

        /// </summary>

        /// <param name="pointArray">포인트 배열</param>

        public Octagon(PointF[] pointArray)

        {

            PointArray = pointArray;

 

            FillColor = _colorArray[_random.Next(0, _colorArray.Length)];

 

            FillColor = Color.FromArgb(80, FillColor);

        }

 

        #endregion

 

        //////////////////////////////////////////////////////////////////////////////////////////////////// Method

        ////////////////////////////////////////////////////////////////////////////////////////// Public

 

        #region 그리기 - Draw(graphics)

 

        /// <summary>

        /// 그리기

        /// </summary>

        /// <param name="graphics">그래픽스</param>

        public void Draw(Graphics graphics)

        {

            using(Brush brush = new SolidBrush(FillColor))

            {

                graphics.FillPolygon(brush, PointArray);

            }

 

            graphics.DrawPolygon(Pens.Black, PointArray);

 

            foreach(Octagon child in ChildList)

            {

                child.Draw(graphics);

            }

        }

 

        #endregion

    }

}

 

 

MainForm.cs

 

 

using System;

using System.Drawing;

using System.Drawing.Drawing2D;

using System.Windows.Forms;

 

namespace TestProject

{

    /// <summary>

    /// 메인 폼

    /// </summary>

    public partial class MainForm : Form

    {

        //////////////////////////////////////////////////////////////////////////////////////////////////// Field

        ////////////////////////////////////////////////////////////////////////////////////////// Private

 

        #region Field

 

        /// <summary>

        /// 루트

        /// </summary>

        private Octagon root = null;

 

        /// <summary>

        /// 크기 스케일

        /// </summary>

        private float sizeScale = (float)(1.0 / (2.0 * (1 + Math.Cos(Math.PI / 180 * 45))));

 

        #endregion

 

        //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor

        ////////////////////////////////////////////////////////////////////////////////////////// Public

 

        #region 생성자 - MainForm()

 

        /// <summary>

        /// 생성자

        /// </summary>

        public MainForm()

        {

            InitializeComponent();

 

            #region 이벤트를 설정한다.

 

            Load                                 += Form_Load;

            this.depthNumericUpDown.ValueChanged += depthNumericUpDown_ValueChanged;

            this.drawButton.Click                += drawButton_Click;

            this.canvasPictureBox.Paint          += canvasPictureBox_Paint;

 

            #endregion

        }

 

        #endregion

 

        //////////////////////////////////////////////////////////////////////////////////////////////////// Method

        ////////////////////////////////////////////////////////////////////////////////////////// Private

        //////////////////////////////////////////////////////////////////////////////// Event

 

        #region 폼 로드시 처리하기 - Form_Load(sender, e)

 

        /// <summary>

        /// 폼 로드시 처리하기

        /// </summary>

        /// <param name="sender">이벤트 발생자</param>

        /// <param name="e">이벤트 인자</param>

        private void Form_Load(object sender, EventArgs e)

        {

            DrawSierpinskiOctagon();

        }

 

        #endregion

        #region 깊이 숫자 UP/DOWN 값 변경시 처리하기 - depthNumericUpDown_ValueChanged(sender, e)

 

        /// <summary>

        /// 깊이 숫자 UP/DOWN 값 변경시 처리하기

        /// </summary>

        /// <param name="sender">이벤트 발생자</param>

        /// <param name="e">이벤트 인자</param>

        private void depthNumericUpDown_ValueChanged(object sender, EventArgs e)

        {

            DrawSierpinskiOctagon();

        }

 

        #endregion

        #region 그리기 버튼 클릭시 처리하기 - drawButton_Click(sender, e)

 

        /// <summary>

        /// 그리기 버튼 클릭시 처리하기

        /// </summary>

        /// <param name="sender">이벤트 발생자</param>

        /// <param name="e">이벤트 인자</param>

        private void drawButton_Click(object sender, EventArgs e)

        {

            DrawSierpinskiOctagon();

        }

 

        #endregion

        #region 캔버스 픽처 박스 페인트시 처리하기 - canvasPictureBox_Paint(sender, e)

 

        /// <summary>

        /// 캔버스 픽처 박스 페인트시 처리하기

        /// </summary>

        /// <param name="sender">이벤트 발생자</param>

        /// <param name="e">이벤트 인자</param>

        private void canvasPictureBox_Paint(object sender, PaintEventArgs e)

        {

            e.Graphics.Clear(this.canvasPictureBox.BackColor);

 

            e.Graphics.SmoothingMode = SmoothingMode.AntiAlias;

 

            if(this.root == null)

            {

                return;

            }

 

            this.root.Draw(e.Graphics);

        }

 

        #endregion

 

        //////////////////////////////////////////////////////////////////////////////// Function

 

        #region 8각형 포인트 배열 구하기 - GetOctagonPointArray(centerPoint, radius)

 

        /// <summary>

        /// 8각형 포인트 배열 구하기

        /// </summary>

        /// <param name="centerPoint">중심 포인트</param>

        /// <param name="radius">반지름</param>

        /// <returns>8각형 포인트 배열</returns>

        private PointF[] GetOctagonPointArray(PointF centerPoint, float radius)

        {

            PointF[] pointArray = new PointF[8];

            double   theta      = -Math.PI / 2.0;

            double   deltaTheta = 2.0 * Math.PI / 8.0;

 

            for(int i = 0; i < 8; i++)

            {

                pointArray[i] = new PointF

                (

                    centerPoint.X + (float)(radius * Math.Cos(theta)),

                    centerPoint.Y + (float)(radius * Math.Sin(theta))

                );

 

                theta += deltaTheta;

            }

 

            return pointArray;

        }

 

        #endregion

        #region 8각형 구하기 - GetOctagon(depth, centerPoint, radius)

 

        /// <summary>

        /// 8각형 구하기

        /// </summary>

        /// <param name="depth">깊이</param>

        /// <param name="centerPoint">중심 포인트</param>

        /// <param name="radius">반지름</param>

        /// <returns>8각형</returns>

        private Octagon GetOctagon(int depth, PointF centerPoint, float radius)

        {

            Octagon parent = new Octagon(GetOctagonPointArray(centerPoint, radius));

 

            if(depth > 0)

            {

                float d = radius - radius * this.sizeScale;

 

                PointF[] pointArray = GetOctagonPointArray(centerPoint, d);

 

                foreach(PointF point in pointArray)

                {

                    parent.ChildList.Add

                    (

                        GetOctagon

                        (

                            depth - 1,

                            point,

                            radius * this.sizeScale

                        )

                    );

                }

            }

 

            return parent;

        }

 

        #endregion

        #region 시어핀스키 8각형 그리기 - DrawSierpinskiOctagon()

 

        /// <summary>

        /// 시어핀스키 8각형 그리기

        /// </summary>

        private void DrawSierpinskiOctagon()

        {

            int depth = (int)this.depthNumericUpDown.Value;

 

            PointF centerPoint = new PointF

            (

                this.canvasPictureBox.ClientSize.Width  / 2,

                this.canvasPictureBox.ClientSize.Height / 2

            );

 

            float radius = (float)Math.Min(centerPoint.X, centerPoint.Y);

 

            radius -= 5;

 

            this.root = GetOctagon(depth, centerPoint, radius);

 

            this.canvasPictureBox.Refresh();

        }

 

        #endregion

    }

}

 

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Posted by 사용자 icodebroker

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