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How to create a 3D ring with fire effect on it?

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IF you already have your fire generator then just place each particle generator, depending how much space in between each generator in a translation to something like this.

for(int loop=0; loop<360; loop++)
glTranslatef(cos(loop), sin(loop), z);

This is for 2D.

To generate fire there are several good articles on Gamedev that will help you.

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Never done it myself...and with a nickname like Fahrenheit you would think I had..hehe, but I have been impressed with the Fellowship of the Ring contest entries on NeHe. Plenty of fire and rings there for you to get ideas from.

My useless 0.02yen...

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I would just create a particle generator where the particles originate from a random point on the ring and fly up a bit, getting smaller and perhaps fading out.

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