So we see that there is a repeating fraction as part of an equation. Though the conjecture is about a sequence, we are trying to prove that ALL numbers lead to 4. m represents the number initially chosen. For this repeating fraction, we assume that m is odd, as doing 3m + 1 will lead it to be an even number again. Anyhow, on the 1st or 2nd term m will certainly be an even number. The even number then divides by 2 a variable t amount of times before it becomes odd. Here's the catch, thought. t is a random number, between 1 and ∞. After the even number is turned odd, the new odd number is instantly turned back even again, so the cycle continues until it hits a power of 2. In this case, I didn't write 2^t subscript x for the right side of the equation, I wrote 4, which was a mistake. So we have an equation that has four variables. In order to graph this function, we need a four-dimensional graph. But it's not possible, is it? This is why the Riemann Surface exists.