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Hmmm...
I guess it ends up depending on how exactly you related to making fractals.

If you have some success to make stunning fractals go along with the real world in an affordable, relatively quick way, you coul do special effect fractals in movies or advertisment.
Selling images, even high quality prints, isn't all too great if you don't manage that one step to fame.
Becoming famous with your art requires that you can interpret something in it, give it a purpose and sell the thoughts behind it.

If you are a programmer, why not get money by programming? That supposedly is a fairly good field to dive into...

Beyond that, maybe you could try doing deep, true, serious research and publish your findings to some kind of scientific paper. This forum essentially collaboratively developed triplex-algebra (or rather a generalization of quaternion algebra) aswell as two or three fundamental new kinds of 3D fractals. Surely there is still quite a bit of research possible in the direct analysis of those new sets. Their behavior, their "islands of order", the regions where they break into chaos,their exact dimensionality, etc.
It might be the most demaning route but if you're careful, you can probably make money that way.

You could also try to do a charming little show on YT where the protagonists are fractals. Become, say, a partner of youtube, start a kickstarter campain, become viral, raise your 10000$ request in a single day ( http://www.kickstarter.com/projects/437762268/brawl-in-the-family-volume-one - admitedly, he already was very popular when he started it all... but still)

Else... I can't *really* think of much. Maybe you can start working with some group like khanacademy. They keep growing and as far as I was able to gather (which honeslty isn't all that much), their doings are quite liberal, as long as it helps the overal project in a way. So if you can figure out, how that might be the case, you might become a paid employee of them. - Most people simply are voluntary though.
You might find other such projects aswell.

Handmade, ok... but still, they are 2D-images.
Static images can sell but it's difficult.
Better have some merchandise around it like cups or calendars... (I totally didn't steal those ideas from cKleinhuis )
Or if you get your fractals to be actual solids, THAT would be neat.

Hmm, I wonder.... Would it be possible to have a menger-like cup?
Like, due to the fractal properties, liquid will stay inside the cup despite all the holes?
Would be a nice 3D-printer experiment...
I suppose, as long as the biggest holes aren't bigger than a certain treshold, the surface tension should keep the liquid inside the cup... right?

yeah bacteria love to live in fractals you should check this out

http://www.cbsnews.com/2100-501083_162-20060003.html

remember a traditional sponge is pretty much a hollow 3d Apollonian gasket   

Why with a Menger Sponge of course!

Rathinagiri has a good point... Custom textiles are huge....  the skateboards, snow boards, surfboards would also be a market.. or "skinit".... personally I would be happy to sell high quality prints... just need to get good enough and start circulating in some the local galleries.. or talking to some people down in the city..