tait's orders of knottiness

Knotting Concepts & Explorations
1

https://collections.st-andrews.ac.uk/photographs/item/orders-of-knottiness/118609

i haven’t read the text of the book/ paper,
can’t get past the visually stunning plates.
i attached a couple of pics,
available from the link or web,
how would that be for a knot board!

Details
ID
sfQC3-T2-Vol-1-6
Title
Orders of Knottiness.
Descriptive titles
The First Seven Orders of Knottiness.
Description
Figure showing diagrams of curves and loops of various complexity.
Collection
Photographic Books Collection
Parent record
Individual images from books and printed materials Parent record level Album/Book/Portfolio
Hierarchy
View hierarchy
Created by
Tait, Peter, Guthrie, (1831 - 1901) (author)
People portrayed
Tait, Peter, Guthrie, (1831 - 1901)
Date
1884
Department
Special Collections - Rare Books
Record level
Item
Format
photobooks
photographic prints
Media
Print (non-photographic)
Subjects
art (fine art)
engravings, etchings, woodcuts
Acknowledgement
Image courtesy of University of St Andrews Libraries and Museums.
Conditions
Free of known copyright restrictions. Image supply fees may still apply.
Credit line
Courtesy of the University of St Andrews Libraries and Museums, ID: sfQC3-T2-Vol-1-6

2

It’s a good poster to have up on the wall, but I couldn’t follow it and got disorientated.

I guess it’s true what they say: “He who has a Tait’s is lost.”

3

:smiley:

and “where the tait’s-poster did he go?”

4

Y’all are chasing your “taits”. :wink:

5

Note that these knot silhouettes can be --can define
a particular mathematical knot-- by virtue of their being
all “alternating crossings” knots. (E.g., fuse the two S.Parts
and then Tails of a squaREef knot and you ave a knot NOT
among Tait’s --and you can see that each U-turn end of
this (to be) fused knot Xes both Under or both Over
in the flow-adjacent crossings.)

–dl*

“has a Tait’s is lost” :: candidate for Trophy! ;D