Question

Take two long narrow strips of paper. Fasten them together so they are perpendicular and form sign. Twist one strip so it is a Mobius band and fasten its ends together. Don’t twist the other strip at all, just fasten its ends. Cut the Mobius band down the middle lengthwise. Then cut the other band down the middle. Describe the final result.

Short answer

Required figure is

Cutting the Mobius strip down the middle gives a longer strips with two full twists rather than two separate bands.

Now on cutting the other band it will divided into two loops without separating as it is fasten with Mobius loop. So now it has six loops.

Step-by-step solution

Step 1. Fasten paper strips.

Take two long narrow paper strips and fasten them in such a way that they are perpendicular to each other as shown below.

Step 2. Make required figure.

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

Now fasten the ends of another strip without twisting it as shown below.

Step 3. Cut the band lengthwise.

Cutting the Mobius strip down the middle gives a longer strips with two full twists rather than two separate bands.

Now on cutting the other band it will divided into two loops without separating as it is fasten with Mobius loop. So now it has six loops.