正多面體座標產生器

public class 正多面體 {

  private static double r = 50;

  

  public static void main(String argv[]) {

    正四面體();

    正六面體();

    正八面體();

    正十二面體();

    正二十面體();

  }

  public static void printPoints(String s, Point3D[] v) {

    System.out.println(s);

    for(int i = 0; i < v.length; ++i) {

      System.out.println("p" + (i+1) + " " + v[i].x + " " + v[i].y + " " + v[i].z);

    }

  }

  

  public static void printLines(String s, int[][] o) {

    System.out.println(s);

    if(o == null) return;

    int c = 0;

    for(int i = 0; i < o.length; ++i) {

      for(int j = 0; j < o[i].length - 1; ++j) {

        System.out.println("l" + (c+1) + " p" + (o[i][j]+1) + " p" + (o[i][j+1]+1));

        c++;

      }

      System.out.println("l" + (c+1) + " p" + (o[i][o[i].length-1]+1) + " p" + (o[i][0]+1));

      c++;

    }

  }

  

  private static Point3D minus(Point3D p) {

    // TODO Auto-generated method stub

    return new Point3D(-p.x, -p.y, -p.z);

  }

  

  private static void 正四面體() {

    // TODO Auto-generated method stub

    double sq2 = Math.sqrt(2.0), sq3 = Math.sqrt(3.0); 

    Point3D[] Vt = new Point3D[4];

    Vt[0] = new Point3D(0, r, 0); 

    Vt[1] = new Point3D(0, -r/3, r*2*sq2/3); 

    Vt[2] = new Point3D(r*sq2/sq3, -r/3, -r*sq2/3); 

    Vt[3] = new Point3D(-r*sq2/sq3, -r/3, -r*sq2/3); 

     

    int[][] ord = {{0, 1, 2}, {0, 2, 3}, {0, 3, 1}, {1, 3, 2}};

    printPoints("正四面體", Vt);

    printLines("正四面體", ord);

  }

  

  

  private static void 正六面體() {

    // TODO Auto-generated method stub

    double sq2 = Math.sqrt(2.0), sq3 = Math.sqrt(3.0); 

    Point3D[] Vt = new Point3D[8];

    Vt[0] = new Point3D(0, r, 0); 

    Vt[1] = new Point3D(0, r/3, r*2*sq2/3); 

    Vt[2] = new Point3D(r*sq2/sq3, r/3, -r*sq2/3); 

    Vt[3] = new Point3D(-r*sq2/sq3, r/3, -r*sq2/3); 

     

    for(int i = 4; i < Vt.length; i++) 

        Vt[i] = minus(Vt[i-4]); 

    int[][] ord = {{0, 1, 7, 2}, {0, 2, 5, 3}, {0, 3, 6, 1}, 

                   {4, 6, 3, 5}, {4, 7, 1, 6}, {4, 5, 2, 7}}; 

    printPoints("正六面體", Vt);

    printLines("正六面體", ord);

  }

  private static void 正八面體() {

    // TODO Auto-generated method stub

    Point3D[] Vt = new Point3D[6];

    Vt[0] = new Point3D(0, r, 0); 

    Vt[1] = new Point3D(0, 0, r); 

    Vt[2] = new Point3D(r, 0, 0); 

     

    for(int i = 3; i < Vt.length; i++) 

        Vt[i] = minus(Vt[i-3]); 

     

    int[][] ord = {{0, 1, 2}, {0, 2, 4}, {0, 4, 5}, {0, 5, 1}, 

                   {3, 5, 4}, {3, 1, 5}, {3, 2, 1}, {3, 4, 2}};

    printPoints("正八面體", Vt);

    printLines("正八面體", ord);

  }

  private static void 正十二面體() {

    // TODO Auto-generated method stub

    double sq3=Math.sqrt(3.0),sq5=Math.sqrt(5.0);

    double t1 = (sq5+1)/2, t2 = (sq5-1)/2; 

    Point3D[] Vt = new Point3D[20];

    Vt[0] = new Point3D(0,r,0); 

    Vt[1] = new Point3D(0,r*sq5/3,r*2/3); 

    Vt[2] = new Point3D(r*sq3/3,r*sq5/3,-r/3); 

    Vt[3] = new Point3D(-r*sq3/3,r*sq5/3,-r/3); 

    Vt[4] = new Point3D(r*sq3/3,r/3,r*sq5/3); 

    Vt[5] = new Point3D(r*t1*sq3/3,r/3,r*t2*t2/3); 

    Vt[6] = new Point3D(r*t2*sq3/3,r/3,-r*t1*t1/3); 

    Vt[7] = new Point3D(-r*t2*sq3/3,r/3,-r*t1*t1/3); 

    Vt[8] = new Point3D(-r*t1*sq3/3,r/3,r*t2*t2/3); 

    Vt[9] = new Point3D(-r*sq3/3,r/3,r*sq5/3); 

    for(int i = 10; i < Vt.length; i++) 

        Vt[i] = minus(Vt[i-10]);

    

    

    int[][]ord = 

            {{ 0, 1, 4, 5, 2},{ 0, 2, 6, 7, 3},{ 0, 3, 8, 9, 1}, 

            { 1, 9,16,17, 4},{ 2, 5,18,19, 6},{ 3, 7,14,15, 8}, 

            {10,12,15,14,11},{10,13,17,16,12},{10,11,19,18,13}, 

            {11,14, 7, 6,19},{12,16, 9, 8,15},{13,18, 5, 4,17}};

    printPoints("正十二面體", Vt);

    printLines("正十二面體", ord);

  }

  private static void 正二十面體() {

    // TODO Auto-generated method stub

     double sq5=Math.sqrt(5.0); 

     double t1 = (sq5+1)/2, t2 = (sq5-1)/2; 

     Point3D[] Vt = new Point3D[12];

     Vt[0] = new Point3D(0,r,0); 

     Vt[1] = new Point3D(0,r/sq5,r*2/sq5); 

     Vt[2] = new Point3D(r*Math.sqrt(t1/sq5),r/sq5,r*t2/sq5); 

     Vt[3] = new Point3D(r*Math.sqrt(t2/sq5),r/sq5,-r*t1/sq5); 

     Vt[4] = new Point3D(-r*Math.sqrt(t2/sq5),r/sq5,-r*t1/sq5); 

     Vt[5] = new Point3D(-r*Math.sqrt(t1/sq5),r/sq5,r*t2/sq5); 

     for(int i = 6; i < Vt.length; i++) 

        Vt[i] = minus(Vt[i-6]); 

     

     int[][]ord = 

              {{0, 1,2},{0, 2,3},{0, 3,4},{ 0, 4, 5},{ 0,5, 1}, 

               {1,10,2},{2,11,3},{3, 7,4},{ 4, 8, 5},{ 5,9, 1}, 

               {6, 8,7},{6, 9,8},{6,10,9},{ 6,11,10},{ 6,7,11}, 

               {7, 8,4},{8, 9,5},{9,10,1},{10,11, 2},{11,7, 3}};

     printPoints("正二十面體", Vt);

     printLines("正二十面體", ord);

  }

  

  static class Point3D {

    public double x, y, z;

    public Point3D() {

      this.x = 0;

      this.y = 0;

      this.z = 0;

    }

    public Point3D(double x, double y, double z) {

      this.x = x;

      this.y = y;

      this.z = z;

    }

  }

}