Invisible stacking connectors for IKEA-LACK table

For my 3D printer I build a housing with the IKEA-LACK tables. To do this, they must be stacked on top of each other in a non-slip manner. There are already many different methods to solve this problem on Thingiverse, but only a few that would have satisfied me from the optical point of view.
My design goals for this project were the following:
As invisible as possible, non-slip connection, easy assembly, should be dismountable without tools.

The chosen solution requires some effort in the