A knot move illustrated above. Two knots cannot be distinguished using Vassiliev invariants of order iff they are related by a sequence
of such moves (Habiro 2000). There is a correspondence between the Habiro move and
solution of the baguenaudier puzzle (Przytycki and
Sikora 2000).
Habiro, K. "Claspers and Finite Type Invariants of Links." Geom. Topol.4, 1-83, 2000.Przytycki, J. H.
and Sikora, A. S. "Topological Insights from the Chinese Rings." 21
Jul 2000. http://arxiv.org/abs/math.GT/0007134.
iff they are related by a sequence
of such moves (Habiro 2000). There is a correspondence between the Habiro move and
solution of the baguenaudier puzzle (Przytycki and
Sikora 2000).
