supposedly the real numbers have a pattern like: [ABABA] where A represents rational numbers and B is irrationals s.t. $A0<B0<A1<B1<A2$. Is there a similar pattern which includes non-computable vs computable numbers?
(Like $A0<B0<C0<A1<B1<C1<A2$,
or maybe
$A0<B0<C0<B1<A1<B1<$ etc $<A2$
or any permutation of these)
where A=rational, B=computable, C=non-computable