Image gallery for: Naked geometry this table places the new tile sets in context with existing math i added the 11 and 12 sided sets and all the others beyond that besides the 14 18 which use the same tiles as the 7 9 sided sets respectively note all the rhombs in all the sets have angles that represent multiples of the smallest rhomb in the set that rhomb s angle is 360˚ n sided symmetry or 360 n 2 for odd numbers of n so for the 12 sided set the smallest rhomb is 30˚ because 360 12 = 30 and the other tiles are 60 90 multiples of 30