Using paper, scissors, and tape, perform the construction described in the Recreational Mathematics box. Once you have completed the construction, cut along the dashed line as instructed. Set the result aside.

In this exercise we will construct another interesting surface. We begin by constructing a ?cross? shape from two strips of paper, as shown below, using scissors and tape. Note the red dashed line and the green dashed line and the ends of the strips labeled A or B.

Next, using tape connect the two ends labeled A without twisting the ends. Then, connect the two ends labeled B by giving one end a half twist. The strip that connects the B ends should resemble a M?bius strip. Finally, cut the object first along the green dashed line and then along the red dashed line. Compare the result with that from the construction. What do you notice?

Transcribed Image Text:

A -В - B- А