366 
Proceedings of the Royal Society 
7. 
5 
4 
or 
4 — 4 
3 _ 2 
This can be deformed into 6 above 
8 . 
2 
/ \ 
6 EEE 6 
This species of knot occurs for all numbers of intersections 
greater than 2. 
9. 
2 — 2 
This is the 7 knot which Listing does not sketch. Ante, p. 311. 
10 . 
11 . 
7=7 
This is the simple twist, which occurs for every odd number of 
intersections. 
As 2 and 4, 3 and 5, 6 and 7 are capable of being deformed into 
one another, three of them are not independent forms, and thus 
the number of distinct forms of seven -fold knots is only eight. 
Drawings of various forms of each of these knots were given, as 
well as indications of the modes in which they can be formed from 
knottinesses of lower orders. 
