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XVIII.—Non-Alternate ± Knots, of Orders Eight and Nine

Published online by Cambridge University Press:  06 July 2012

C. N. Little
C. N. Little
Affiliation:
Nebraska State University.
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Extract

1. To complete the census of knots of any given order, that is, minimum number of crossings, it is necessary to include not only those in which the crossings are taken alternately over and under (Alternate ±), but also the Non-Alternate ±, those in which two or more consecutive crossings are alike over or alike under. Professor Tait has figured the forms of the alternate ± knots, of orders three to nine inclusive, on Pl. XLIV. vol. xxxii., Trans. Roy. Soc. Edin.; the object of this paper is to describe the non-alternate knots of these orders.

Type
Research Article
Information
Earth and Environmental Science Transactions of The Royal Society of Edinburgh , Volume 35 , Issue 2 , February 1890 , pp. 663 - 664
Copyright
Copyright © Royal Society of Edinburgh 1890

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References

page 663 note * Listing, called a lambda crossing δ and used λ for a gamma crossing (Vorstudien zur Topologie, p. 52, Gottingen, 1848)Google Scholar.