Below is what I got from Java but expected a flower.

http://img18.imageshack.us/i/flowera.jpg/

As to Flash ,Since Java and Flash both have same coordinates
system , I should have no problem in creating the shape but
I am getting the messed up result.

If you were me , what would be your strategy to draw shapes in
Java?

Looks 60-70% right to me. Presumably just a few messed-up coordinates.
I would store the coordinates as data, rather than embed them into the code - I'd use a Vector of Points. I'd hold those in a simple text file, and just read it into the Vector, so it would be easy to edit the data. Then I'd have a simple loop that looped thru the Points drawing 1 segment at a time. For testing I'd put a bit extra in the loop so it sent the coodinates to System.out, then waited for a CR before plotting that point. Like that I could step thru the drawing 1 point at a time and see exactly which coords were wrong.
If I wanted to get clever I'd write a little JPanel that I could click on, and the Mouse handler would add the points where I clicked to the Vector of points, then write it all to the text file.

thanks for your time and programming tricks James.
The problem was the lineTo function which is , I believe , is not
suitable for creating polygons as we have the functions such
as drawline(..) and drawpolygon(..) for that.

Regarding Flash , It's true that both Java and Flash have
same coordinates system but the way Flash show the
coordinates in the property box is unclear to me.Using Flash
for this kinda job is not a good idea.

Well , the problem has been solved.

thanks again for your precious time.