1. (4 marks) The object below on the left is what you get when you...
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1. (4 marks) The object below on the left is what you get when you cut a hole out of a Klein bottle. You can also make the object using a net such as the one shown on the right (gluing along the edges so that the arrows match up). t One can draw two simple closed loops on this object that don't cross each other, such that cutting along both of these loops still leaves the object in one piece. Draw these two loops on a net of the object. (You might want to solve this problem practically: make the actual object with paper and tape, and then cut it.) 1. (4 marks) The object below on the left is what you get when you cut a hole out of a Klein bottle. You can also make the object using a net such as the one shown on the right (gluing along the edges so that the arrows match up). t One can draw two simple closed loops on this object that don't cross each other, such that cutting along both of these loops still leaves the object in one piece. Draw these two loops on a net of the object. (You might want to solve this problem practically: make the actual object with paper and tape, and then cut it.)
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