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. 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. Opened the svg file in blender and made it a 3D object. In meshmixer i have repaired the file; and erased some aspects. In meshmixer i have also added a coaster. Than i have merged the coaster with the picture after scaling the picture. 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. Or download a template of my website (https://www.thingiverse.com/thing:3542555). 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 is an app i discovered recently after using MakePrintable. Cause MakePrintable in my opion only gives us 3 procedures of fixing an STL file and, with Netfabb Online Service the frequency of STL fix procedures is unlimited, my choice was clear. It worked well for me and i could slice the model 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/