The file 'Higher Resolution Trek Badge With Magnet Hole – 5/16 3D Printer Model' is (stl) file type, size is 141.8KB.
I needed some Star Trek badges for a theme party, but I could only get my hands on 5/16" magnets, so I modified the hole in the back. Nothing more. All credit goes to tmorris9.
http://www.thingiverse.com/thing:34902
Also, I know that the difference between 3/8 and 5/16 is small, but the depth was also different, and I have OCD issues :)
STTNG_Badge_5-16magnet.stl | 1.2MB |