Problem Set
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Section
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Problems
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| 28 |
4.7(I)
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1 -- On the level in two dimensions
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2 -- On the level in three dimensions
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6 -- The hint given is just that: a “hint&3148;, not a complete answer. Do not simply say, “take a small portion of one of the rings and push it into the fourth dimension.” For each of the three knots, draw the knot on your paper and indicate what portion of the “string” you would push into the 4th dimension. Also, make a drawing of the appearance of the “figure” after the loops have been unlinked.
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9 -- The hint shows how one may render a “picture” of the 4 and 5-dimensional cubes. You do not have to redraw those. You need only (although it is the hardest one) draw the 6-dimensional cube.
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II |
[1] -- Try your hand at this one, despite the fact that it is ungraded.
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