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Knots Prime knots See also: List of prime knots 0₁ knot/Unknot - a simple un-knotted closed loop 3₁ knot/Trefoil knot - (2,3)-torus knot, the two loose ends of a common overhand knot joined together 4₁ knot/Figure-eight knot (mathematics) - a prime knot with a crossing number four 5₁ knot/Cinquefoil knot, (5,2)-torus knot, Solomon's seal knot, pentafoil knot - a prime knot with crossing number five which can be arranged as a pentagram 5₂ knot/Three-twist knot - the twist knot with three-half twists 6₁ knot/Stevedore knot (mathematics) - a prime knot with crossing number six, it can also be described as a twist knot with four twists 6₂ knot - a prime knot with crossing number six 6₃ knot - a prime knot with crossing number six 7₁ knot, septafoil knot, (7,2)-torus knot - a prime knot with crossing number seven, which can be arranged as a {7,2} star polygon 7₄ knot, "endless knot" 818 knot, "carrick mat" 10₁₆₁/Perko pair 12n242/(−2,3,7) pretzel knot (p, q)-torus knot - a special kind of knot that lies on the surface of an unknotted torus in R3 Composite Square knot (mathematics) - a composite knot obtained by taking the connected sum of a trefoil knot with its reflection Granny knot (mathematics) - a composite knot obtained by taking the connected sum of two identical trefoil knots |
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