How to construct polygons from triangles for animations?

Since there is no way of filling polygons in other devices than those that use the NokiaUI,I need to construct polygons from triangles. Can someone give me a good example of an algorithm for this?
My product contains 10 hypnotic screensavers. New polygons are constructed from mathematical calculations for each frame in the animations. Would it be possible to construct these polygons from triangles in an automatic
way and would that be fast enough? You can find more information about my product on my site:
http://www.mobile-visuals.com/mobilesoftware.php
The version for Nokia and SE available to download for free on Joiku:
http://www.joiku.com/?action=products&mode=productDetails&product_id=252
I want to release it for Motorola and Samsung too.

One thread for one topic is enough. All responses may please be posted on
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db

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