Hostname: page-component-848d4c4894-wzw2p Total loading time: 0 Render date: 2024-05-20T20:07:51.737Z Has data issue: false hasContentIssue false

XXVI.—The 364 Unifilar Knots of Ten Crossings, Enumerated and Described

Published online by Cambridge University Press:  06 July 2012

Extract

The 119 subsolids (marked ss) and the 244 unsolids (marked us), of these unifilars are here arranged in lists according to their flaps. Fe is the number of flaps of e loops upon a knot; and the headings of the lists, as, e.g.10I, F2 = 1, F1 = 3, describe so far all the knots in the lists. Thus in 10I each has one 2-ple flap and three single ones. After the number in the list comes always the base on which the knot is constructed by the rules of my paper, XVII. in vol. xxxii. part ii. of the Trans. R. S. E.; and the reader who has that paper before him will find it easy to draw any knot on its base, nearly always there figured, by the first given flap, which is the leading one of the knot described; thus in 10I the first written flap is the double one, and in 10P, F3 = 1, F1 = 2, it is the triple one. The leading flap of a subsolid is always followed by a colon.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1886

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)