public void Transform(Mobius m)
{
Hexagon.Transform(m);
TestCircle.Transform(m);
CircumCircle.Transform(m);
Isometry *= new Isometry(m, null);
}
private static CircleNE[] CycleCircles(CircleNE template, Vector3D vertex0)
{
Mobius m = RotMobius(vertex0);
List <CircleNE> result = new List <CircleNE>();
result.Add(template);
for (int i = 0; i < 3; i++)
{
CircleNE next = result.Last().Clone();
next.Transform(m);
result.Add(next);
}
return(result.ToArray());
}
public void SetupHexagonForKQ()
{
Polygon centralTile = new Polygon();
centralTile.CreateRegular(7, 3);
Vector3D vertex0 = centralTile.Segments[0].P1;
CircleNE[] otherThreeSides = OtherThreeSides();
CircleNE[] systoles = SystolesForKQ();
// Calc verts.
List <Vector3D> verts = new List <Vector3D>();
Vector3D t1, t2;
Euclidean2D.IntersectionCircleCircle(otherThreeSides[0], systoles[0], out t1, out t2);
Vector3D intersection = t1.Abs() < 1 ? t1 : t2;
verts.Add(intersection);
intersection.Y *= -1;
verts.Add(intersection);
Mobius m = RotMobius(vertex0);
verts.Add(m.Apply(verts[0]));
verts.Add(m.Apply(verts[1]));
verts.Add(m.Apply(verts[2]));
verts.Add(m.Apply(verts[3]));
// Setup all the segments.
bool clockwise = true;
Hexagon.Segments.AddRange(new Segment[]
{
Segment.Arc(verts[0], verts[1], otherThreeSides[0].Center, clockwise),
Segment.Arc(verts[1], verts[2], systoles[1].Center, clockwise),
Segment.Arc(verts[2], verts[3], otherThreeSides[1].Center, clockwise),
Segment.Arc(verts[3], verts[4], systoles[2].Center, clockwise),
Segment.Arc(verts[4], verts[5], otherThreeSides[2].Center, clockwise),
Segment.Arc(verts[5], verts[0], systoles[0].Center, clockwise),
});
Hexagon.Center = vertex0;
// Setup the test circle.
m.Isometry(Geometry.Hyperbolic, 0, -vertex0);
Polygon clone = Hexagon.Clone();
clone.Transform(m);
Circle temp = new Circle(
clone.Segments[0].Midpoint,
clone.Segments[2].Midpoint,
clone.Segments[4].Midpoint);
CircleNE tempNE = new CircleNE(temp, new Vector3D());
tempNE.Transform(m.Inverse());
TestCircle = tempNE;
temp = new Circle(
clone.Segments[0].P1,
clone.Segments[1].P1,
clone.Segments[2].P1);
tempNE = new CircleNE(temp, new Vector3D());
tempNE.Transform(m.Inverse());
CircumCircle = tempNE;
}
