From the installer like this:
/home/<username>/SH3D/SweetHome3D-2.6/SweetHome3D

And it won't run, it just shuts down.
I just tried it from the webstart method and I get the same results, "Fatal error" and it exits.

I do have Sun's java installed.

I reported the problem on the OpenSuSE forum and was told to try reinstalling the video driver (http://forums.opensuse.org/english/get- ... ost2220727) So I am hoping that will do the trick.