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