That you still think there is a conundrum means you really "dunno". You've got a triangle with equal angles of 60[sup]o[/sup], a finite number. You appear to be unable to recognise that this is 1/3 x 180[sup]o[/sup], and 1/3 is 0.333... which is also a finite number. You also don't seem to be able to recognise that 1/3 is not irrational (if it was it would not be represented as the ratio of two finite numbers, namely 1 and 3). And you don't seem to be able to recognise that 1/3 is not infinite. I think your problem is that you just don't understand basic math. Did you finish grade school?