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Three-twist knot : ウィキペディア英語版
Three-twist knot

In knot theory, the three-twist knot is the twist knot with three-half twists. It is listed as the 52 knot in the Alexander-Briggs notation, and is one of two knots with crossing number five, the other being the cinquefoil knot.
The three-twist knot is a prime knot, and it is invertible but not amphichiral. Its Alexander polynomial is
:\Delta(t) = 2t-3+2t^, \,
its Conway polynomial is
:\nabla(z) = 2z^2+1, \,
and its Jones polynomial is
:V(q) = q^ - q^ + 2q^ - q^ + q^ - q^. \,
Because the Alexander polynomial is not monic, the three-twist knot is not fibered.
The three-twist knot is a hyperbolic knot, with its complement having a volume of approximately 2.82812.
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Three-twist knot」の詳細全文を読む



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