Interactive graphics

Click on image (or its caption) to get object you can manipulate.

Below are some examples of knots


A trefoil knot A tube about a figure 8 knot 15 crossing knot---in a (locally) minimal energy configuration.



Here are two trefoils, a right hand and left hand


Below are some examples of Moebius bands (and knots)


A Moebius band with boundry shown as green tube


A Moebius band (left) and boundary (right)shown separately



Moebius bands with twists in opposite directions hand


Moebius band with three half twists. Note that the boundary is a knot.


Two such Moebius bands---the boundaries are the two trefoil knots


Two Moebius bands with five half twists