See the playing rules and history of the game on Wikipedia:
It makes a nice gift for friends, you can also erase the circles from the bottom of the grill support and you can write in a nice happy birthday wish, for instance.
Print the components, slide the grill into the vertical holder, then you are ready to go! When you are done with the game, lift the grill, let the discs fall into the tray, then start the re-match! At the end, you can deposit the discs inside the column to make sure you do not misplace any of them while the game is in storage.
The grill holder should be a straightforward print on a Markebot Replicator 2 machine if you use no raft and follow the instructions on the picture attached: 0.2mm layer, 4 shells, 10% infill. The intention of adding the circles decoration on the bottom of the support is to avoid the hassle of removing the built object from the build plate or from the raft. Personally I found the adherence to the raft to be strong enough to break the structure while removing in some trials,therefore the 4 shells for rigidity and removal of raft and supports worked well for me.
Print the grill vertically, with no supports needed, but with 4layer shell and 20% infill (basically print it fully solid). Doing so you will not need support structures and you will get a beautiful, shiny finish on the resulting game.
Print the discs set twice, each time in a different color for each player, and in a different color from the grill and holder in order to get a nice contrast and better usability for the resulting game. Enlarge the discs thickness by 15-20% to avoid that they overlap within the grill, if needed.