첨부 실행 코드는 나눔고딕코딩 폰트를 사용합니다.
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■ StreamGeometry 클래스를 사용해 다각형을 그리는 방법을 보여준다.

TestProject.zip
다운로드

▶ MainWindow.xaml

<Window x:Class="TestProject.MainWindow"
    xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
    Width="800"
    Height="600"
    Title="StreamGeometry 클래스 : 다각형 그리기"
    FontFamily="나눔고딕코딩"
    FontSize="16">
    <Grid>
        <Path Name="path"
            HorizontalAlignment="Center"
            VerticalAlignment="Center"
            Stroke="Turquoise"
            StrokeThickness="5" />
    </Grid>
</Window>

 

▶ MainWindow.xaml.cs

using System;
using System.Windows;
using System.Windows.Media;

namespace TestProject
{
    /// <summary>
    /// 메인 윈도우
    /// </summary>
    public partial class MainWindow : Window
    {
        //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 생성자 - MainWindow()

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

            StreamGeometry geometry = GetPolygonStreamGeometry(new Point(200, 200), 200, 8, 0);

            geometry.FillRule = FillRule.EvenOdd;

            geometry.Freeze();

            this.path.Data = geometry;
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Method
        ////////////////////////////////////////////////////////////////////////////////////////// Private

        #region 다각형 스트림 지오메트리 구하기 - GetPolygonStreamGeometry(centerPoint, radius, sideCount, offsetDegree)

        /// <summary>
        /// 다각형 스트림 지오메트리 구하기
        /// </summary>
        /// <param name="centerPoint">중심 포인트</param>
        /// <param name="radius">반경</param>
        /// <param name="sideCount">사이드 수</param>
        /// <param name="offsetDegree">오프셋 각도</param>
        /// <returns>다각형 스트림 지오메트리</returns>
        private StreamGeometry GetPolygonStreamGeometry(Point centerPoint, double radius, int sideCount, double offsetDegree)
        {
            StreamGeometry geometry = new StreamGeometry();

            using(StreamGeometryContext context = geometry.Open())
            {
                double step = 2 * Math.PI / Math.Max(sideCount, 3);

                Point currentPoint = centerPoint;

                double radian = Math.PI * offsetDegree / 180.0;

                for(int i = 0; i < sideCount; i++, radian += step)
                {
                    currentPoint.X = centerPoint.X + radius * Math.Cos(radian);
                    currentPoint.Y = centerPoint.Y + radius * Math.Sin(radian);

                    if(i == 0)
                    {
                        context.BeginFigure(currentPoint, true, true);
                    }
                    else
                    {
                        context.LineTo(currentPoint, true, false);
                    }
                }
            }

            return geometry;
        }

        #endregion
    }
}
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