Question

Cut the Mobius band lengthwise down the middle. (Start at a point midway between the edges and cut around the band.) What is the result? Cut the band a second time down the middle. Write a sentence or two describing what happens.

Short answer

Cutting the Mobius strip down the middle gives a long strip with two full twists rather than two separate twists. If it is cut once again then a strip will be obtained even longer in length with double the number of loops.

Step-by-step solution

Step 1. Cut the band lengthwise down the middle.

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

Step 2. Cut the band a second time.

If it is cut once again then a strip will be obtained even longer in length with double the number of loops.

Step 3. Describe what happens.

On cutting the Mobius band lengthwise down the middle, it cannot be separated into two bands moreover number of loops are increasing twice every time within that band.