Does pi/4 not exist? If I draw a circle of diameter 1 and erase all but one quadrant, I now have constructed a segment of length pi/4. This happens to be a tran

Does pi/4 not exist? If I draw a circle of diameter 1 and erase all but one quadrant, I now have constructed a segment of length pi/4. This happens to be a transcendental number between 0 and 1. Stop using your random number generator. It is making you miss the point. It has no special value. For some reason you are assigning it a special value the same way people might assign numerical greater than order a special value. If you use the flipped positive integer generator instead, it is quite obvious that you will never generate pi/4 no matter how long you run that generator, yet that generator will run through all possible positive integers.