class IGPTheGreatMosqueOfKairouan extends IGPSquare{

  PVector[][] cornerPieces;
  PVector[][] sidePieces;
  PVector[][] middlePieces;
  PVector[][] starPieces;
  ArrayList <PVector> middleStar;

  IGPTheGreatMosqueOfKairouan(float x, float y, float d){
    super(x, y, d, 0);
    setVectorsOnOuterSquare();
    setCornerPieces();
    setSidePieces();
    setMiddlePieces();
    setStarPieces();
    setMiddleStar();
  }

  void setVectorsOnOuterSquare(){
    vectorsOnOuterSquare = new ArrayList <PVector>(24);
    vectorsOnOuterSquare.add(alphaCircleVectors.get(0));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(0)), getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(4)), mid.x+radius, false));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(2), mid.x+radius, false));
    vectorsOnOuterSquare.add(new PVector(mid.x+radius, mid.y+radius));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(2), mid.y+radius, true));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(0)), getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(0)), mid.y+radius, true));
    vectorsOnOuterSquare.add(new PVector(mid.x, mid.y+radius));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(4)), getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(12)), mid.y+radius, true));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(6), mid.y+radius, true));
    vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y+radius));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(6), mid.x-radius, false));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(8)), getLineIntersection(alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(2)), mid.x-radius, false));
    vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(10)), getLineIntersection(alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(2)), mid.x-radius, false));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(10), mid.x-radius, false));
    vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y-radius));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(10), mid.y-radius, true));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(12)), getLineIntersection(alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(2)), mid.y-radius, true));
    vectorsOnOuterSquare.add(new PVector(mid.x, mid.y-radius));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(0)), getLineIntersection(alphaCircleVectorsSixteen.get(4), alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(2)), mid.y-radius, true));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(0), alphaCircleVectorsSixteen.get(14), mid.y-radius, true));
    vectorsOnOuterSquare.add(new PVector(mid.x+radius, mid.y-radius));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(14), mid.x+radius, false));
    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(alphaCircleVectorsSixteen.get(14), alphaCircleVectorsSixteen.get(2), alphaCircleVectorsSixteen.get(12), alphaCircleVectorsSixteen.get(0)), getLineIntersection(alphaCircleVectorsSixteen.get(6), alphaCircleVectorsSixteen.get(10), alphaCircleVectorsSixteen.get(8), alphaCircleVectorsSixteen.get(12)), mid.x+radius, false));
  }

  void setMiddleStar(){
    middleStar = new ArrayList <PVector>(16);
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5)));
    middleStar.add(getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5)));
  }

  void setCornerPieces(){
    cornerPieces = new PVector[4][4];
    PVector[] cornerPiece = new PVector[4];
    cornerPiece[0] = vectorsOnOuterSquare.get(2);
    cornerPiece[1] = vectorsOnOuterSquare.get(3);
    cornerPiece[2] = vectorsOnOuterSquare.get(4);
    cornerPiece[3] = alphaCircleVectorsSixteen.get(2);
    cornerPieces[0] = cornerPiece;
    cornerPiece = new PVector[4];
    cornerPiece[0] = vectorsOnOuterSquare.get(8);
    cornerPiece[1] = vectorsOnOuterSquare.get(9);
    cornerPiece[2] = vectorsOnOuterSquare.get(10);
    cornerPiece[3] = alphaCircleVectorsSixteen.get(6);
    cornerPieces[1] = cornerPiece;
    cornerPiece = new PVector[4];
    cornerPiece[0] = vectorsOnOuterSquare.get(14);
    cornerPiece[1] = vectorsOnOuterSquare.get(15);
    cornerPiece[2] = vectorsOnOuterSquare.get(16);
    cornerPiece[3] = alphaCircleVectorsSixteen.get(10);
    cornerPieces[2] = cornerPiece;
    cornerPiece = new PVector[4];
    cornerPiece[0] = vectorsOnOuterSquare.get(20);
    cornerPiece[1] = vectorsOnOuterSquare.get(21);
    cornerPiece[2] = vectorsOnOuterSquare.get(22);
    cornerPiece[3] = alphaCircleVectorsSixteen.get(14);
    cornerPieces[3] = cornerPiece;
  }

  void setSidePieces(){
    sidePieces = new PVector[8][6];
    PVector[] sidePiece = new PVector[6];
    sidePiece[0] = vectorsOnOuterSquare.get(0);
    sidePiece[1] = vectorsOnOuterSquare.get(2);
    sidePiece[2] = alphaCircleVectorsSixteen.get(2);
    sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(4));
    sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6));
    sidePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(4));
    sidePieces[0] = sidePiece;
    sidePiece = new PVector[6];
    sidePiece[0] = alphaCircleVectorsSixteen.get(2);
    sidePiece[1] = vectorsOnOuterSquare.get(4);
    sidePiece[2] = vectorsOnOuterSquare.get(6);
    sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
    sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    sidePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    sidePieces[1] = sidePiece;
    sidePiece = new PVector[6];
    sidePiece[0] = vectorsOnOuterSquare.get(6);
    sidePiece[1] = vectorsOnOuterSquare.get(8);
    sidePiece[2] = alphaCircleVectorsSixteen.get(6);
    sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22));
    sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22));
    sidePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    sidePieces[2] = sidePiece;
    sidePiece = new PVector[6];
    sidePiece[0] = alphaCircleVectorsSixteen.get(6);
    sidePiece[1] = vectorsOnOuterSquare.get(10);
    sidePiece[2] = vectorsOnOuterSquare.get(12);
    sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1));
    sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
    sidePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(12));
    sidePieces[3] = sidePiece;
    sidePiece = new PVector[6];
    sidePiece[0] = alphaCircleVectorsSixteen.get(10);
    sidePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    sidePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
    sidePiece[4] = vectorsOnOuterSquare.get(12);
    sidePiece[5] = vectorsOnOuterSquare.get(14);
    sidePieces[4] = sidePiece;
    sidePiece = new PVector[6];
    sidePiece[0] = vectorsOnOuterSquare.get(18);
    sidePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    sidePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16));
    sidePiece[4] = alphaCircleVectorsSixteen.get(10);
    sidePiece[5] = vectorsOnOuterSquare.get(16);
    sidePieces[5] = sidePiece;
    sidePiece = new PVector[6];
    sidePiece[0] = alphaCircleVectorsSixteen.get(14);
    sidePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10));
    sidePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10));
    sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
    sidePiece[4] = vectorsOnOuterSquare.get(18);
    sidePiece[5] = vectorsOnOuterSquare.get(20);
    sidePieces[6] = sidePiece;
    sidePiece = new PVector[6];
    sidePiece[0] = vectorsOnOuterSquare.get(22);
    sidePiece[1] = vectorsOnOuterSquare.get(0);
    sidePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
    sidePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
    sidePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
    sidePiece[5] = alphaCircleVectorsSixteen.get(14);
    sidePieces[7] = sidePiece;
  }

  void setMiddlePieces(){
    middlePieces = new PVector[8][6];
    PVector[] middlePiece = new PVector[6];
    middlePiece[0] = vectorsOnOuterSquare.get(0);
    middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(4));
    middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6));
    middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
    middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13));
    middlePieces[0] = middlePiece;
    middlePiece = new PVector[6];
    middlePiece[0] = alphaCircleVectorsSixteen.get(2);
    middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
    middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16));
    middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16));
    middlePieces[1] = middlePiece;
    middlePiece = new PVector[6];
    middlePiece[0] = vectorsOnOuterSquare.get(6);
    middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
    middlePieces[2] = middlePiece;
    middlePiece = new PVector[6];
    middlePiece[0] = alphaCircleVectorsSixteen.get(6);
    middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
    middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
    middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(10));
    middlePieces[3] = middlePiece;
    middlePiece = new PVector[6];
    middlePiece[0] = vectorsOnOuterSquare.get(12);
    middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
    middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
    middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
    middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
    middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(12));
    middlePieces[4] = middlePiece;
    middlePiece = new PVector[6];
    middlePiece[0] = alphaCircleVectorsSixteen.get(10);
    middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
    middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
    middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(16));
    middlePieces[5] = middlePiece;
    middlePiece = new PVector[6];
    middlePiece[0] = alphaCircleVectorsSixteen.get(12);
    middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
    middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
    middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(18));
    middlePieces[6] = middlePiece;
    middlePiece = new PVector[6];
    middlePiece[0] = alphaCircleVectorsSixteen.get(14);
    middlePiece[1] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
    middlePiece[2] = getLineIntersection(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
    middlePiece[3] = getLineIntersection(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
    middlePiece[4] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
    middlePiece[5] = getLineIntersection(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22));
    middlePieces[7] = middlePiece;
  }

  void setStarPieces(){
    starPieces = new PVector[8][4];
    PVector[] starPiece = new PVector[4];
    starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(6));
    starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
    starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
    starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
    starPieces[0] = starPiece;
    starPiece = new PVector[4];
    starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
    starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
    starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11));
    starPieces[1] = starPiece;
    starPiece = new PVector[4];
    starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(12));
    starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
    starPieces[2] = starPiece;
    starPiece = new PVector[4];
    starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
    starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1));
    starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(11), vectorsOnOuterSquare.get(1));
    starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
    starPieces[3] = starPiece;
    starPiece = new PVector[4];
    starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7));
    starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
    starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(4));
    starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7));
    starPieces[4] = starPiece;
    starPiece = new PVector[4];
    starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10));
    starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(17), vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    starPieces[5] = starPiece;
    starPiece = new PVector[4];
    starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10));
    starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
    starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2));
    starPieces[6] = starPiece;
    starPiece = new PVector[4];
    starPiece[0] = getLineIntersection(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
    starPiece[1] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(22), vectorsOnOuterSquare.get(8));
    starPiece[2] = getLineIntersection(vectorsOnOuterSquare.get(16), vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
    starPiece[3] = getLineIntersection(vectorsOnOuterSquare.get(23), vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(19), vectorsOnOuterSquare.get(5));
    starPieces[7] = starPiece;
  }

  void createMiddleStar(){
    useStrokeColor();
    useFillColor();
    beginShape();
    for (PVector middleStarVector: middleStar) {
      vertex(middleStarVector.x, middleStarVector.y);
    }
    endShape();
  }

  void createCornerPieces(){
    useStrokeColor();
    useFillColor();
    for(int i=0; i<cornerPieces.length; i++){
      if(cornerPieces[i].length>0){
        beginShape();
        for(int j=0; j<cornerPieces[i].length; j++){
          vertex(cornerPieces[i][j].x, cornerPieces[i][j].y);
        }
        endShape();
      }
    }
  }

  void createSidePieces(){
    useStrokeColor();
    useFillColor();
    for(int i=0; i<sidePieces.length; i++){
      if(sidePieces[i].length>0){
        beginShape();
        for(int j=0; j<sidePieces[i].length; j++){
          vertex(sidePieces[i][j].x, sidePieces[i][j].y);
        }
        endShape();
      }
    }
  }

  void createMiddlePieces(){
    useStrokeColor();
    useFillColor();
    for(int i=0; i<middlePieces.length; i++){
      if(middlePieces[i].length>0){
        beginShape();
        for(int j=0; j<middlePieces[i].length; j++){
          if (middlePieces[i][j] != null) {
            vertex(middlePieces[i][j].x, middlePieces[i][j].y);
          }
        }
        endShape();
      }
    }
  }

  void createStarPieces(){
    useStrokeColor();
    useFillColor();
    for(int i=0; i<starPieces.length; i++){
      if(starPieces[i].length>0){
        beginShape();
        for(int j=0; j<starPieces[i].length; j++){
          vertex(starPieces[i][j].x, starPieces[i][j].y);
        }
        endShape();
      }
    }
  }

  void createParallelLines(){
    createLine(vectorsOnOuterSquare.get(1), vectorsOnOuterSquare.get(11));
    createLine(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(16));
    createLine(vectorsOnOuterSquare.get(4), vectorsOnOuterSquare.get(14));
    createLine(vectorsOnOuterSquare.get(5), vectorsOnOuterSquare.get(19));
    createLine(vectorsOnOuterSquare.get(7), vectorsOnOuterSquare.get(17));
    createLine(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(22));
    createLine(vectorsOnOuterSquare.get(10), vectorsOnOuterSquare.get(20));
    createLine(vectorsOnOuterSquare.get(13), vectorsOnOuterSquare.get(23));
  }

  void createOuterLines(){
    createLine(vectorsOnOuterSquare.get(0), vectorsOnOuterSquare.get(4));
    createLine(vectorsOnOuterSquare.get(2), vectorsOnOuterSquare.get(6));
    createLine(vectorsOnOuterSquare.get(6), vectorsOnOuterSquare.get(10));
    createLine(vectorsOnOuterSquare.get(8), vectorsOnOuterSquare.get(12));
    createLine(vectorsOnOuterSquare.get(12), vectorsOnOuterSquare.get(16));
    createLine(vectorsOnOuterSquare.get(14), vectorsOnOuterSquare.get(18));
    createLine(vectorsOnOuterSquare.get(18), vectorsOnOuterSquare.get(22));
    createLine(vectorsOnOuterSquare.get(20), vectorsOnOuterSquare.get(0));
  }

  void display(){
    setStrokeColor(new Float[] {0.0, 0.0, 0.0, 0.0});
    setFillColor(new Float[] {1.0, 1.0, 1.0, 1.0});
    createCornerPieces();
    setStrokeColor(new Float[] {0.66, 0.66, 0.8, 0.0});
    setFillColor(new Float[] {0.0, 1.0, 0.0, 1.0});
    createSidePieces();
    setStrokeColor(new Float[] {0.66, 0.0, 0.0, 0.0});
    setFillColor(new Float[] {0.5, 0.5, 1.0, 1.0});
    createMiddlePieces();
    setStrokeColor(new Float[] {0.0, 0.0, 0.0, 0.0});
    setFillColor(new Float[] {1.0, 0.0, 0.0, 1.0});
    createStarPieces();
    setStrokeColor(new Float[] {0.0, 0.0, 0.0, 0.0});
    setFillColor(new Float[] {0.0, 0.0, 1.0, 1.0});
    createMiddleStar();
  }

  void displayConstructionLines(){
    super.displayConstructionLines();
    setStrokeColor(new Float[] {0.4, 0.4, 0.8, 1.0});
    setFillColor(new Float[] {0.0, 0.0, 0.0, 0.0});
    createDiagonalConstructionLinesOnOuterSquare();
    createInnerSquare();
    createInnerSquareTilted(45);
    createParallelLines();
    createOuterLines();
    setStrokeColor(new Float[] {0.8, 0.0, 0.0, 1.0});
    setFillColor(new Float[] {0.8, 0.8, 0.8, 1.0});
    createVectorIndicatorOnOuterSquare(4);
    setStrokeColor(new Float[] {0.4, 0.4, 0.8, 1.0});
    setFillColor(new Float[] {0.0, 0.0, 0.0, 0.0});
  }
}