Solved: (Fun with Mobius) Make Mobius strips from long
Chapter 10, Problem 10.1.125(choose chapter or problem)
Make Möbius strips from Iong slim rectangles R of grid paper (graph paper) by pasting the short sides together after giving the paper a half-twist. In each case count the number of parts obtained by cutting along lines parallel to the edge.
(a) Make R three squares wide and cut until you reach the beginning.
(b) Make R four squares wide. Begin cutting one square away from the edge until you reach the beginning. Then cut the portion that is still two squares wide.
(c) Make R five squares wide and cut similarly.
(d) Make R six squares wide and cut. Formulate a conjecture about the number of parts obtained.
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