I have printed this model with Ultimaker white PLA. I used 0.2mm layer height and, 18% infill. I used a 0.4mm nozzle with my extruder at 210 degrees Celcius. I used a heated bed. To avoid the curling up at the bottom i used a brim. My printspeed is 60mm/s. Don't hesitate to use your own configuration....no worries!
I picked a logo from my browser and have put it in svg format in inktscape (see video*). Opened the svg file in blender and made it a 3D object. In meshmixer i have repaired the file, using the 'Inspector' button under the 'analysis' tab. In meshmixer i have also added a drinkcoaster. I made the drinkcoaster in 123D Design using simple model techniques. You can also choose to make a template of a drinkcoaster in another program. For example: tinkercad. Than i have merged the drinkcoaster with the 3Dmodel (of the logo) after scaling the model in meshmixer. In meshmixer i have made the 'positive' file. For the negative model i have use 123design to substract the file from a drink-coaster. Saved it as a STL file and sliced it for printing. Cause the model has still some issues even after repairing it in meshmixer; i have decided to export it into Netfabb Online Service. This almost works very well after modelling something. Netfabb Online Service is a free STL repairing service. After this process i have previewed the model in my slicer (something i advice you to do before printing a model). The preview looked great with perfect (thick) lines; so i could print it without any problems.
If you would like to know how i design a 2D picture (google) into a 3D model.
Use this link:
https://www.youtube.com/watch?v=g6cmClwLhz8 (video* is under 6 min.)
2D to 3D in Blender
use this link to download blender for free: https://www.blender.org/download/
use this link to download inkscape for free: https://inkscape.org/nl/download/