I must say your coding achievements are impressive (great utility). Any other skills you haven't mentioned yet? :)
There's other art stuff lurking around my site, too: http://egypt.urnash.com
In my head, "carpenter" just has a different connotation. But it's not very clear-cut. I used to DJ a lot at parties during my university years, was I "a DJ"? I prepare dinner for 8-10 guests regularly, am I "a cook"?
It kind of depends, I guess. I've drawn a large number of cartoons in my life, but (with few exceptions) never sold them for money. I wouldn't call myself a cartoonist (mainly because I don't do it as much recently), but I would definitely not call myself "not a cartoonist" :) That would be selling myself short :)
I'm not a programmer professionally either. But then, I do have a CS degree, and I still write code almost daily. I'm a programmer.
I also generally don't feel that the fact if you do something professionally (for money) should really count as "what you do" (identity, in a sense), as this comic illustrates: http://i.imgur.com/MNJzpqL.jpg (I didn't draw this, btw)
You are a programmer, and a woodworker.
A programmer is someone who can program a computer, and chooses to call themselves a programmer. If absolutely nobody is willing to pay them to do so then maybe they're lying when they call themselves one.
If you ask me what I do, I'm not gonna say "I program computers", I'm gonna say "I draw comics and stuff". Because that's what I spend my work life doing. And occasionally I need to do some tedious task, and find a way to automate it, because I spent enough time in my youth fooling around with programming that I'm not afraid to get my hands dirty now and then.
Like, you can be a swimmer, or you can be a professional swimmer. You have to be a painter a long time before you sell your stuff.
Money is as much a corrupting influence as it is a validator of talent and a correlate to time spent.