Klein Bottle

[Bonzo]

Originally Posted by Bonzo

Mobius Band
Cut a 50mm (2") strip from the long side of an A4 or letter size sheet of print paper.
Glue the ends together with a half twist.
Cut along its length down the middle and 1) What do you get?
Cut down the middle again and 2) What do you get?
And the last question, With the remainder of the sheet of paper, can you join the long edges together with a half twist?

For those inkleined...

1) You get a single loop, half as wide and twice as long with a full twist.

2) You get two loops, half as wide again, the same length as 1) each with a full twist and interlinked.

And the last question... Yes you can and in theory, with one condition, it is possible whatever the ratio of the sides. See attachment.