Not Knots 1

Which of the following knots cannot be untangled to a single loop (called an "unknot" by knot theorists)?

Details and Assumptions

  • You cannot cut the rope in order to untie it.
a All of them can be untangled b c d

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1 solution

Emily Peng
Oct 25, 2019

From looking at the knots, you can see that: A:The twists can be turned over B: The top loop can be brought down and turned left C: The middle top loop can be brought upwards and twisted left D:No amount of twisting will gain progress, as every loop goes under and over the same section of string.

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