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In knot theory, the 6 2 knot is one of three prime knots with crossing number six, the others being the stevedore knot and the 6 3 knot.This knot is sometimes referred to as the Miller Institute knot, [1] because it appears in the logo [2] of the Miller Institute for Basic Research in Science at the University of California, Berkeley.
An example is 1*2 −3 2. The 1* denotes the only 1-vertex basic polyhedron. The 2 −3 2 is a sequence describing the continued fraction associated to a rational tangle. One inserts this tangle at the vertex of the basic polyhedron 1*. A more complicated example is 8*3.1.2 0.1.1.1.1.1 Here again 8* refers to a basic polyhedron with 8 vertices.