첨부 소스 코드는 나눔고딕코딩 폰트를 사용합니다.
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TestProject.zip
다운로드

▶ MainForm.cs

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

namespace TestProject
{
    /// <summary>
    /// 메인 폼
    /// </summary>
    public partial class MainForm : Form
    {
        //////////////////////////////////////////////////////////////////////////////////////////////////// Field
        ////////////////////////////////////////////////////////////////////////////////////////// Private

        #region Field

        /// <summary>
        /// 플레인
        /// </summary>
        private Plane plane;

        /// <summary>
        /// 비트맵
        /// </summary>
        private Bitmap bitmap;

        /// <summary>
        /// 그래픽스
        /// </summary>
        private Graphics graphics;

        /// <summary>
        /// 너비
        /// </summary>
        private int width;
        
        /// <summary>
        /// 높이
        /// </summary>
        private int height;

        /// <summary>
        /// X 오프셋
        /// </summary>
        private double xOffset;
        
        /// <summary>
        /// Y 오프셋
        /// </summary>
        private double yOffset;
        
        /// <summary>
        /// Z 오프셋
        /// </summary>
        private double zOffset;
        
        /// <summary>
        /// X 스케일
        /// </summary>
        private double xScale;
        
        /// <summary>
        /// Y 스케일
        /// </summary>
        private double yScale;
        
        /// <summary>
        /// Z 스케일
        /// </summary>
        private double zScale;


        /// <summary>
        /// A
        /// </summary>
        private double a;
        
        /// <summary>
        /// B
        /// </summary>
        private double b;
        
        /// <summary>
        /// C
        /// </summary>
        private double c;
        
        /// <summary>
        /// D
        /// </summary>
        private double d;
        
        /// <summary>
        /// E
        /// </summary>
        private double e;
        
        /// <summary>
        /// X0
        /// </summary>
        private double x0;
        
        /// <summary>
        /// Y0
        /// </summary>
        private double y0;
        
        /// <summary>
        /// Z0
        /// </summary>
        private double z0;

        /// <summary>
        /// 배경색
        /// </summary>
        private Color backgroundColor;
        
        /// <summary>
        /// 전경색
        /// </summary>
        private Color foregroundColor;

        /// <summary>
        /// 실행 여부
        /// </summary>
        private bool isRunning = false;

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 생성자 - MainForm()

        /// <summary>
        /// 생성자
        /// </summary>
        public MainForm()
        {
            InitializeComponent();

            #region 이벤트를 설정한다.

            Load                                   += Form_Load;
            this.foregroundColorDisplayLabel.Click += colorDisplayLabel_Click;
            this.backgroundColorDisplayLabel.Click += colorDisplayLabel_Click;
            this.startButton.Click                 += startButton_Click;

            #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)
        {
            this.planeComboBox.SelectedIndex = 0;

            this.plane = Plane.XY;
        }

        #endregion
        #region 색상 표시 레이블 클릭시 처리하기 - colorDisplayLabel_Click(sender, e)

        /// <summary>
        /// 색상 표시 레이블 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void colorDisplayLabel_Click(object sender, EventArgs e)
        {
            Label label = sender as Label;

            this.colorDialog.Color = label.BackColor;

            if(this.colorDialog.ShowDialog() == DialogResult.OK)
            {
                label.BackColor = this.colorDialog.Color;
            }
        }

        #endregion
        #region 시작 버튼 클릭시 처리하기 - startButton_Click(sender, e)

        /// <summary>
        /// 시작 버튼 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void startButton_Click(object sender, EventArgs e)
        {
            if(this.isRunning)
            {
                this.isRunning = false;

                this.startButton.Text = "Stopped";
            }
            else
            {
                this.isRunning = true;

                this.startButton.Text = "Stop";

                DrawPickoverStrangeAttractorFractal();

                this.startButton.Text = "Start";
            }
        }

        #endregion

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

        #region 준비하기 - Prepare()

        /// <summary>
        /// 준비하기
        /// </summary>
        private void Prepare()
        {
            this.backgroundColor = this.backgroundColorDisplayLabel.BackColor;
            this.foregroundColor = this.foregroundColorDisplayLabel.BackColor;

            this.width  = this.canvasPictureBox.ClientSize.Width;
            this.height = this.canvasPictureBox.ClientSize.Height;

            this.bitmap   = new Bitmap(this.width, this.height);
            this.graphics = Graphics.FromImage(this.bitmap);

            this.graphics.Clear(this.backgroundColor);

            this.canvasPictureBox.Image = this.bitmap;

            const double MINIMUM_X = -2.1;
            const double MAXIMUM_X =  2.1;
            const double MINIMUM_Y = -2.1;
            const double MAXIMUM_Y =  2.1;
            const double MINIMUM_Z = -1.2;
            const double MAXIMUM_Z =  1.2;

            this.plane = (Plane)this.planeComboBox.SelectedIndex;

            switch(this.plane)
            {
                case Plane.XY :

                    this.xOffset = this.width  / 2;
                    this.yOffset = this.height / 2;
                    this.xScale  = this.width  / (MAXIMUM_X - MINIMUM_X);
                    this.yScale  = this.height / (MAXIMUM_Y - MINIMUM_Y);

                    break;

                case Plane.YZ :

                    this.yOffset = this.width  / 2;
                    this.zOffset = this.height / 2;
                    this.yScale  = this.width  / (MAXIMUM_Y - MINIMUM_Y);
                    this.zScale  = this.height / (MAXIMUM_Z - MINIMUM_Z);

                    break;

                case Plane.XZ :

                    this.xOffset = this.width  / 2;
                    this.zOffset = this.height / 2;
                    this.xScale  = this.width  / (MAXIMUM_X - MINIMUM_X);
                    this.zScale  = this.height / (MAXIMUM_Z - MINIMUM_Z);

                    break;
            }

            if(double.TryParse(this.aTextBox.Text, out this.a))
            {
                this.a = 2.0;
            }

            if(double.TryParse(this.bTextBox.Text, out this.b))
            {
                this.b = 0.5;
            }

            if(double.TryParse(this.cTextBox.Text, out this.c))
            {
                this.c = -0.6;
            }

            if(double.TryParse(this.dTextBox.Text, out this.d))
            {
                this.d = -2.5;
            }

            if(double.TryParse(this.eTextBox.Text, out this.e))
            {
                this.e = 1.0;
            }

            if(double.TryParse(this.x0TextBox.Text, out this.x0))
            {
                this.x0 = 0.0;
            }

            if(double.TryParse(this.y0TextBox.Text, out this.y0))
            {
                this.y0 = 0.0;
            }

            if(double.TryParse(this.z0TextBox.Text, out this.z0))
            {
                this.z0 = 0.0;
            }
        }

        #endregion
        #region 피코버 별난 끌개 프랙탈 그리기 - DrawPickoverStrangeAttractorFractal()

        /// <summary>
        /// 피코버 별난 끌개 프랙탈 그리기
        /// </summary>
        private void DrawPickoverStrangeAttractorFractal()
        {
            Prepare();

            double x = this.x0;
            double y = this.y0;
            double z = this.z0;

            while(this.isRunning)
            {
                for(int i = 1; i <= 1000; i++)
                {
                    double x2 = Math.Sin(this.a * y) - z * Math.Cos(this.b * x);
                    double y2 = z * Math.Sin(this.c * x) - Math.Cos(this.d * y);

                    z = Math.Sin(x);
                    x = x2;
                    y = y2;

                    switch(this.plane)
                    {
                        case Plane.XY :

                            this.bitmap.SetPixel
                            (
                                (int)(x * this.xScale + this.xOffset),
                                (int)(y * this.yScale + this.yOffset),
                                this.foregroundColor
                            );

                            break;

                        case Plane.YZ :

                            this.bitmap.SetPixel
                            (
                                (int)(y * this.yScale + this.yOffset),
                                (int)(z * this.zScale + this.zOffset),
                                this.foregroundColor
                            );

                            break;

                        case Plane.XZ :

                            this.bitmap.SetPixel
                            (
                                (int)(x * this.xScale + this.xOffset),
                                (int)(z * this.zScale + this.zOffset),
                                this.foregroundColor
                            );

                            break;
                    }
                }

                this.canvasPictureBox.Refresh();

                Application.DoEvents();
            }
        }

        #endregion
    }
}
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