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

Bibliographic Data

ID23232188
AuthorsThomas P Kirkman (corresponding author)
Year1886
Volume32
Issue3
Pages483-491
Publication date1886-02-01
Open AccessYes
TypeARTICLE
VenueTransactions of the Royal Society of Edinburgh: Earth Sciences (JOURNAL)
Journal identifiersISSN: 0263-5933 • E-ISSN: 1473-7116
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1017/s0080456800025230
OpenAlexW2322234627
LanguageEN
Citations received1

The 119 subsolids (marked ss ) and the 244 unsolids (marked us ), of these unifilars are here arranged in lists according to their flaps. F e is the number of flaps of e loops upon a knot; and the headings of the lists, as, e.g. 10 I, F 2 = 1, F 1 = 3, describe so far all the knots in the lists. Thus in 10 I 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 10 I the first written flap is the double one, and in 10 P, F 3 = 1, F 1 = 2, it is the triple one. The leading flap of a subsolid is always followed by a colon.

Base (topology) · Combinatorics · Knot (papermaking) · Mathematical analysis · Law, logistics, and international trade · Linguistics and language evolution · Materials Science · Mathematics · Mathematics and Applications

  • Computations in knot theory

    Open Access•H F TROTTER•Computational problems in…•1970

Citations per year0.02
Citation span1970 - 1970 (1)
Highly citedNo

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