Figure 8 Knot
figure8 knot rotate
the figure 8 knot and its mirror image are the only "alternating" knots with 4 crossings. overpass- and underpas-crossings alternate for such knots. they cannot be drawn with fewer crossings. During the rotation we have also projections with more than 4 crossings, which are of course not alternating.
a different view of the figure 8 knot. since the threads are twisting around each other (counter clockwise) in the middle portion, one can see that this knot is different from its mirror image.
this image is of a so called “harmonic knot”, a curve whose coordinate functions are harmonic.
figure8 satellite anaglyph
The curve which winds around the figure 8 knot is called a "satellite knot". Here its is a 61-2-satellite, which means: while it runs along the figure 8 knot 2 times around, it circles the knot curve 61 times. Satellite knots are a simple way to construct more complicated knots from simpler ones.