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单词 Stick Number
释义

Stick Number

Let the stick number of a Knot be the least number of straight sticks needed to make a Knot . The smallest stick number of any Knot is , where is the Trefoil Knot. If and areKnots, then


For a nontrivial Knot , let be the Crossing Number (i.e., the leastnumber of crossings in any projection of ). Then


The following table gives the stick number for some common knots.

Trefoil Knot6
Whitehead Link8

See also Crossing Number (Link), Triangle Counting


References

Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 27-30, 1994.


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