AutoVisual/IGPTheGreatMosqueOfKairouan.pde: Adding class for The Great Mosque of Kairouan. A Square based class.

1 files changed, 406 insertions, 0 deletions

diff --git a/AutoVisual/IGPTheGreatMosqueOfKairouan.pde b/AutoVisual/IGPTheGreatMosqueOfKairouan.pde
new file mode 100644
index 0000000..3dc58cf
--- /dev/null
+++ b/AutoVisual/IGPTheGreatMosqueOfKairouan.pde
@@ -0,0 +1,406 @@
+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(getVectorOnAlphaCircle(315), getVectorOnAlphaCircle(45), getVectorOnAlphaCircle(90), getVectorOnAlphaCircle(0)), getLineIntersection(getVectorOnAlphaCircle(225), getVectorOnAlphaCircle(135), getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(90)), mid.x+radius, false));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getVectorOnAlphaCircle(90), getVectorOnAlphaCircle(45), mid.x+radius, false));
+    vectorsOnOuterSquare.add(new PVector(mid.x+radius, mid.y+radius));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getVectorOnAlphaCircle(0), getVectorOnAlphaCircle(45), mid.y+radius, true));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(getVectorOnAlphaCircle(135), getVectorOnAlphaCircle(45), getVectorOnAlphaCircle(90), getVectorOnAlphaCircle(0)), getLineIntersection(getVectorOnAlphaCircle(225), getVectorOnAlphaCircle(315), getVectorOnAlphaCircle(270), getVectorOnAlphaCircle(0)), mid.y+radius, true));
+    vectorsOnOuterSquare.add(new PVector(mid.x, mid.y+radius));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(getVectorOnAlphaCircle(135), getVectorOnAlphaCircle(45), getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(90)), getLineIntersection(getVectorOnAlphaCircle(225), getVectorOnAlphaCircle(315), getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(270)), mid.y+radius, true));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(135), mid.y+radius, true));
+    vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y+radius));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getVectorOnAlphaCircle(90), getVectorOnAlphaCircle(135), mid.x-radius, false));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(getVectorOnAlphaCircle(135), getVectorOnAlphaCircle(225), getVectorOnAlphaCircle(90), getVectorOnAlphaCircle(180)), getLineIntersection(getVectorOnAlphaCircle(90), getVectorOnAlphaCircle(0), getVectorOnAlphaCircle(315), getVectorOnAlphaCircle(45)), mid.x-radius, false));
+    vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(270), getVectorOnAlphaCircle(135), getVectorOnAlphaCircle(225)), getLineIntersection(getVectorOnAlphaCircle(270), getVectorOnAlphaCircle(0), getVectorOnAlphaCircle(315), getVectorOnAlphaCircle(45)), mid.x-radius, false));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getVectorOnAlphaCircle(270), getVectorOnAlphaCircle(225), mid.x-radius, false));
+    vectorsOnOuterSquare.add(new PVector(mid.x-radius, mid.y-radius));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(225), mid.y-radius, true));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(getVectorOnAlphaCircle(225), getVectorOnAlphaCircle(315), getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(270)), getLineIntersection(getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(90), getVectorOnAlphaCircle(135), getVectorOnAlphaCircle(45)), mid.y-radius, true));
+    vectorsOnOuterSquare.add(new PVector(mid.x, mid.y-radius));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(getVectorOnAlphaCircle(225), getVectorOnAlphaCircle(315), getVectorOnAlphaCircle(270), getVectorOnAlphaCircle(0)), getLineIntersection(getVectorOnAlphaCircle(90), getVectorOnAlphaCircle(0), getVectorOnAlphaCircle(135), getVectorOnAlphaCircle(45)), mid.y-radius, true));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getVectorOnAlphaCircle(0), getVectorOnAlphaCircle(315), mid.y-radius, true));
+    vectorsOnOuterSquare.add(new PVector(mid.x+radius, mid.y-radius));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getVectorOnAlphaCircle(270), getVectorOnAlphaCircle(315), mid.x+radius, false));
+    vectorsOnOuterSquare.add(getVectorOnExtendedLine(getLineIntersection(getVectorOnAlphaCircle(315), getVectorOnAlphaCircle(45), getVectorOnAlphaCircle(270), getVectorOnAlphaCircle(0)), getLineIntersection(getVectorOnAlphaCircle(135), getVectorOnAlphaCircle(225), getVectorOnAlphaCircle(180), getVectorOnAlphaCircle(270)), 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] = getVectorOnAlphaCircle(45);
+    cornerPieces[0] = cornerPiece;
+    cornerPiece = new PVector[4];
+    cornerPiece[0] = vectorsOnOuterSquare.get(8);
+    cornerPiece[1] = vectorsOnOuterSquare.get(9);
+    cornerPiece[2] = vectorsOnOuterSquare.get(10);
+    cornerPiece[3] = getVectorOnAlphaCircle(135);
+    cornerPieces[1] = cornerPiece;
+    cornerPiece = new PVector[4];
+    cornerPiece[0] = vectorsOnOuterSquare.get(14);
+    cornerPiece[1] = vectorsOnOuterSquare.get(15);
+    cornerPiece[2] = vectorsOnOuterSquare.get(16);
+    cornerPiece[3] = getVectorOnAlphaCircle(225);
+    cornerPieces[2] = cornerPiece;
+    cornerPiece = new PVector[4];
+    cornerPiece[0] = vectorsOnOuterSquare.get(20);
+    cornerPiece[1] = vectorsOnOuterSquare.get(21);
+    cornerPiece[2] = vectorsOnOuterSquare.get(22);
+    cornerPiece[3] = getVectorOnAlphaCircle(315);
+    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] = getVectorOnAlphaCircle(45);
+    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] = getVectorOnAlphaCircle(45);
+    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] = getVectorOnAlphaCircle(135);
+    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] = getVectorOnAlphaCircle(135);
+    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] = getVectorOnAlphaCircle(225);
+    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] = getVectorOnAlphaCircle(225);
+    sidePiece[5] = vectorsOnOuterSquare.get(16);
+    sidePieces[5] = sidePiece;
+    sidePiece = new PVector[6];
+    sidePiece[0] = getVectorOnAlphaCircle(315);
+    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] = getVectorOnAlphaCircle(315);
+    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] = getVectorOnAlphaCircle(45);
+    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] = getVectorOnAlphaCircle(135);
+    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] = getVectorOnAlphaCircle(225);
+    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] = getVectorOnAlphaCircle(270);
+    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] = getVectorOnAlphaCircle(315);
+    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[] {0.66, 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[] {0.66, 0.0, 0.8, 1.0});
+    setFillColor(new Float[] {0.8, 0.8, 0.8, 0.0});
+  }
+}