The medals are the third way to earn points.
Permanent medals
Desert : 6 Desert tiles, 10 points
Permanent medals
Rune : 8 Rune Monsters, 5 points
Permanent medals
Penalty medal : Fewest Desert/Rune Monsters, -10 points
Random medals
Different tiles : 7 Different tiles (one tile Big Monster is enough), 5 points
Random medals
Lava : 10 Lava tiles, 5 points
Random medals
Crystals : 3 Series of differents crystals, 5 points
Random medals
Big Monster : 4 Complete Big Monsters, 5 points
Random medals
Swamp/Grassland : 8 swamp and/or Grassland tiles, 5 points
Random medals
Ice : 12 Ice tiles (horizontal and vertical), 5 points
Random medals
Mutagenic : 8 Mutagenic monsters, 5 points