The simplest knots arranged according to
the complexity of their complements,
rather than
by crossing number as is usually done.
See the very interesting paper by Callahan,
Dean, and Weeks describing the census (referenced below).
Click on an
image to bring up a 3D interactive viewer (requires JavaScript).
 k21 |
 k31 |
 k32 |
 k41 |
 k42 |
 k43 |
 k44 |
 k51 |
 k52 |
 k53 |
 k54 |
 k55 |
 k56 |
 k57 |
 k58 |
 k59 |
 k510 |
 k511 |
 k512 |
 k513 |
 k514 |
 k515 |
 k516 |
 k517 |
 k518 |
 k519 |
 k520 |
 k521 |
 k522 |
 k61 |
 k62 |
 k63 |
 k64 |
 k65 |
 k66 |
 k67 |
 k68 |
 k69 |
 k610 |
 k611 |
 k612 |
 k613 |
 k614 |
 k615 |
 k616 |
 k617 |
 k618 |
 k619 |
 k620 |
 k621 |
 k622 |
 k623 |
 k624 |
 k625 |
 k626 |
 k627 |
 k628 |
 k629 |
 k630 |
 k631 |
 k632 |
 k633 |
 k634 |
 k635 |
 k636 |
 k637 |
 k638 |
 k639 |
 k640 |
 k641 |
 k642 |
 k643 |
| Original knot descriptions (before relaxation) courtesy of John Dean. The paper is Callahan, P. J., Dean, J. C. and Weeks, J. R. , The simplest hyperbolic knots, J. Knot Theory Ramifications, 8 (3), (1999), p. 279--297 |
Postscript version 3: k6.8.ps, k6.9.ps
PostScript and PDF versions of k610 as a closed braid and after simplification (go to Figure 8.14).
Go to the KnotPlot Site or Rob Scharein's home page.