Square Knot (Mathematics)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In knot theory, the square knot is a composite knot obtained by taking the connected sum of two trefoil knots. It is closely related to the granny knot, which is also a connected sum of two trefoils. Because the trefoil knot is the simplest nontrivial knot, the square knot and the granny knot are the simplest of all composite knots. The square knot is the mathematical version of the common reef knot. The square knot can be constructed from two trefoil knots, one of wh...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In knot theory, the square knot is a composite knot obtained by taking the connected sum of two trefoil knots. It is closely related to the granny knot, which is also a connected sum of two trefoils. Because the trefoil knot is the simplest nontrivial knot, the square knot and the granny knot are the simplest of all composite knots. The square knot is the mathematical version of the common reef knot. The square knot can be constructed from two trefoil knots, one of which must be left-handed and the other right-handed. Each of the two knots is cut, and then the loose ends are joined together pairwise. The resulting connected sum is the square knot. It is important that the original trefoil knots be mirror images of one another. If two identical trefoil knots are used instead, the result is a granny knot.
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