Look…
Who can help me?
You’ll need to play with thing to fix this. (might be an alpha sorting issue) if all the branches are one object try separating the problem branch from the other into a separate object. If they are separate objects try moving the object just a hair. Make sure its normals are pointing the right direction. I’m not sure what will and won’t work you’ll need to start trying everything you can think of … or wait for someone who knows.
Did you enable the sort option on these faces? (option is where Twoside and clip alpha are)
Brecht made sort was made an option because it can get very slow.
Otherwise you can move the object centers about, or going all objects and experiment with face sorting (Ctrl+F)
For Apricot I sorted frankies tail faces so when you see him from the back the tail looks best.
I was just about to post about a similar problem. Thanks for the info!
Or you can use clip alpha, It doesn’t look as good because the alpha is a sharp edge, but it doesn’t have any sorting issues and it’s much faster frame rate wise.
Still not working 
Only with clip alpha, but that looks UGLY!!!
HELP!!!
Want you to make a Palm Trees Game?
If the answer is no, you shouldn’t bother with palm trees looking a liitle ugly and give them real-time shadows, probably…