Random Knots

نویسنده

  • Nathan Fieldsteel
چکیده

Introduction: A knot is a non-intersecting closed curved in 3-space. The projection of a knot onto the plane yields a knot diagram of the knot. The crossing number of a knot is the minimum number of self-crossings a knot has among all its knot diagrams. We may manipulate a given knot diagram by twisting and moving the curve so that the new diagram obtained after such manipulations is still that for our original knot. These manipulations can be decomposed into a series of 3 types of moves called Reidemeister moves.

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تاریخ انتشار 2013