Figure Eight Knot and a 3-string braid

Figure Eight Knot and a 3-string braid

Ken B.
The sequence of scenes illustrates the passage from the Figure Eight Knot to a 3-string braid with braid axis by taking the quotient of an involution. Viewing the scenes in reverse shows how the Figure Eight Knot is the lift of the braid axis in the double cover of S^3 branched over the braid. #braid #branched_cover #figure_eight #involution #knot #math #topology
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