@kuroyume:

Yup. Amazing distance, isn't it, for just 32 operations? (And I did state that "The following is impossible to do, but...")
And if you double the number of folds (to 64), you rapidly pass the orbit of the moon (become extra-circum-lunar)..:-))

Cheers,
Diolma

(Who is now going to bed!"  Got to do real work tomorrow...)