# hard thinker

genius
Posers and Puzzles 06 Jul '07 19:15
1. genius
Wayward Soul
06 Jul '07 19:15
a mobius strip is strip piece of paper with a half twist in it. this means that it has only one side-you can draw a continous line (length-ways) around it and return to the start point, and when you turn it over you see that you have drawn on both "sides" of the paper.

now, what happens when you cut along the line?
2. 06 Jul '07 19:21
3. genius
Wayward Soul
06 Jul '07 20:23
Originally posted by Mephisto2
nope
4. 06 Jul '07 20:26
I'm thinking one big strip. Possibly with 2 turns, possibly with 0?
5. 06 Jul '07 20:45
I'm thinking thick ropes and a catapult...
6. joe shmo
Strange Egg
06 Jul '07 22:58
Originally posted by DeepRed
I'm thinking thick ropes and a catapult...
a triangle
7. 07 Jul '07 02:33
a single loop with two twists in it. Now suddenly two sided!
8. O Artem O
ParTizan
07 Jul '07 03:18
its 2 conected loops, did this in when i was a kid
9. genius
Wayward Soul
09 Jul '07 12:59
Originally posted by O Artem O
its 2 conected loops, did this in when i was a kid
...but that is cheating...

unfold the loops and what do you get?
10. 09 Jul '07 15:454 edits
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.)

edit4:
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'?)