If we follow the arrows in Fig.6 as shown (and skip the common fractions like 1:1 is the same as 2:2 or 3:3 and so on ; 2:1 is the same as 4:2 or 6:3 and so on and so forth)
we can again use the correspondence principle used earlier. Number each arrow-stop using the natural numbers :-
Each fraction has a ‘unique’ natural number associated with it and the entire grid can thus be covered exhaustively. Both sets therefore have the same ‘infiniteness’, that is they are both ‘countably infinite’ and have א0 elements.[10] These concepts and others are explained in greater mathematical detail by Rudy Rucker[11] and Paul Davies[12].
and we take the fraction (here the entire sequence 428571 cycles)