double[] leaf = ((Protractor3D) (world3D.protractor())).towardsVector
(root.xcor(), root.ycor(), root.zcor(),
t.xcor(), t.ycor(), t.zcor(), true);
htrans.transform(leaf, out, 1);
ptrans.transform(out, out, 1);
rtrans.transform(out, out, 1);
double nx = t.xcor + (out[0] - leaf[0]);
double ny = t.ycor + (out[1] - leaf[1]);
double nz = t.zcor + (out[2] - leaf[2]);
Set<Turtle3D> snapshot = seenTurtles;