| public ApplyInfiniteSafe ( Vector3D z ) : Vector3D | ||
| z | Vector3D | |
| return | Vector3D | |
// Rotates a dodec about a vertex or edge to get a dual dodec.
private static Dodec GetDual( Dodec dodec, Vector3D rotationPoint )
{
//double rot = System.Math.PI / 2; // Edge-centered
double rot = 4 * ( - Math.Atan( ( 2 + Math.Sqrt( 5 ) - 2 * Math.Sqrt( 3 + Math.Sqrt( 5 ) ) ) / Math.Sqrt( 3 ) ) ); // Vertex-centered
Mobius m = new Mobius();
if( Infinity.IsInfinite( rotationPoint ) )
m.Elliptic( Geometry.Spherical, new Vector3D(), -rot );
else
m.Elliptic( Geometry.Spherical, rotationPoint, rot );
Dodec dual = new Dodec();
foreach( Vector3D v in dodec.Verts )
{
Vector3D rotated = m.ApplyInfiniteSafe( v );
dual.Verts.Add( rotated );
}
foreach( Vector3D v in dodec.Midpoints )
{
Vector3D rotated = m.ApplyInfiniteSafe( v );
dual.Midpoints.Add( rotated );
}
return dual;
}