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Make a Mobius band. Let the band be 3 cm wide. Make a lengthwise cut, staying 1 cm form the right-hand edge. Describe the result.

Short Answer

Expert verified

Take a strip of paper. Give it a half roll. Bind the ends together. The resultant is a Mobius band. As the band is a three-dimension figure having only one side and a curved boundary when it will be cut lengthwise it will become the shape of an infinite loop which is also a three-dimension figure having no sides but having two boundary curves. Its length will be twice the length of one band.

Step by step solution

01

Step 1. Make a Mobius band.

Take a strip of paper. Give it a half roll. Bind the ends together. The resultant is a Mobius Loop.

02

Step 2. Cut the band lengthwise.

Cutting the Mobius strip staying 1 cm from the right-hand edge gives longer strips with two full twists rather than two separate bands.

03

Step 3. Describe what happens.

As the band is a three-dimension figure having only one side and a curved boundary when it will be cut lengthwise it will become the shape of an infinite loop which is also a three-dimension figure having no sides but having two boundary curves. Its length will be twice the length of one band.

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