Diamond drag engraving doesn’t put much sideways force on the platters, so taping the CD in place suffices to hold it:
Wrapping a flange around the screw-down platter fixture provides plenty of surface area for tape:
Which looks exactly as you think it would in real life:
Admittedly, masking tape doesn’t look professional, but it’s low-profile, cheap and works perfectly. Blue painter’s tape for the “permanent” hold-down strips on the platform would be a colorful upgrade.
It’s centered on the platform at the XY=0 origin in the middle of the XY travel limits, with edges aligned parallel to the axes. Homing the 3018 and moving to XY=0 puts the tool point directly over the center of the CD without any fussy alignment.
The blue-and-red rings around the center hole assist probe camera alignment, whenever that’s necessary.
The OpenSCAD source code as a GitHub Gist: