Ok here's what it looks like:


It's a plant made of 3 intersecting planes, type #plane.
The textures renderfomat is rgba4444.

Now this is the problem: instead of displaying proplerly (left image) it sometimes puts one of the planes in front of the other (right image).
I've tried slight alteration of position for each of the planes (normally they have the same position). But it doesn't work.