Originally posted by genius
...but that is cheating...
unfold the loops and what do you get?
A large loop with twice the diameter of the original strip.
(edit: with two full twists, just as Gastel said previously. Very good, Gastel.)
(Edits 2 and 3 for spelling and clarification.)
Cut the "half-Mobius" in half again and get 2 linked loops with 2 full twists each.
Cut a Mobius in thirds and you make two linked loops, one with a half-twist and one with 2 full twists.
(Do you mind if I roast the arse of this question this mornin'?)