A simple representation of the figure-8 knot is as the set of all points (x,y,z) where
x = (2 + cos(2t)) cos(3t)
y = (2 + cos(2t)) sin(3t)
z = sin (4t)
for some real value of t. The knot is alternating[?], rational[?] with an associated value of 5/2, and is achiral. It is also the hyperbolic knot[?] whose complement has the largest possible volume, 2.02988...
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