Tenfold Knottiness

While reading this article about the structure of complex knots, I ran across this diagram drawn by scientist Peter Guthrie Tait in 1885 for a paper called On Knots Part III. It’s one of two figures that together show all of the possible variations of knots with 10 crossings. I think the color plus the small multiples activated the Tufte array in my brain; anyway, I love this diagram. (via damn interesting)

(I tried for the better part of an hour to track down a high-resolution copy of Tait’s paper to no avail. There are various contenders, but nothing that includes high-res scans of both knottiness diagrams. I’m curious about this archive of the original paper but not $41 curious. If anyone has access through their institution and wants to send me a PDF, I’d love that. Update: I have a copy of the paper and will be posting updated images soon! Thank you, Michael!)

• mathematics
• Peter Guthrie Tait
• science