A drink coaster I made with a free vector version of the Queen logo. This was inspired by the "Coasters The Beatles, Dual print" coaster and is 100mm in diameter. This is designed so that the logo will sit flush with the rest of the coaster. Increasing the height of the logo in your slicer by 10mm will result in the logo being slightly raised from the base while being 10mm below the top of the coaster itself.

To ensure the logo fits snugly in the coaster, I would recommend increasing your extrusion multiplier just a little bit.