---> Update 07-03-2013: There was a request for a version where the rose doesn't stand out the cover so I uploaded some new versions. I don't know yet if all the thin lines of the case with the rose shaped hole will print well, I thickened them in some places to hopefully make it stronger.
GS3CaseRose1StandOut = with the rose on the case
GS3CaseRose2CutOut = with the rose embedded in the case
GS3CaseRose3Hole = with the rose totally cut out of the case <---
I added the same rose as the lithophane lamp (http://www.thingiverse.com/thing:75229) to the case for the Galaxy S3.