Achiral knots

Some knots are the same as their mirror images. Consider the Figure-8 knot


reflect in plane
same
as
start
rotate
rotate

The two rotations about perpendicular axes could be combined into a rotation about a single axis.


Another achiral knot is 83.


reflect in plane
same
as
start
rotate
rotate

As for the Figure-8 knot, the two rotations about perpendicular axes could be combined into a rotation about a single axis.


Go back to Mathematical knots.

Go to the KnotPlot Site.


Copyright © 1998 by Robert G. Scharein