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4. On the Linear Section PR of a Knot Mn, which passes through two Crossings P and R, which meets no Edge, and which cuts away a (3 + r)-gonal Mesh of Mn

Published online by Cambridge University Press:  15 September 2014

Thomas P. Kirkman
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Extract

The purpose of this paper is to give rules for the construction of knots Mn of n crossings, having each one or more linear sections PR, such that by unkissing at P and at R, shall be obtained two unifilar knots of n – 1 crossings. See my paper “On the Twists of Listing and Tait,” page 363 of the Proc. R.S.E. The knot Mn is always made by a section ffc, i.e., by uniting the P's and R's of two 2-gons (PR) on Ke+2 and Ln-e, after cutting away the four edges PR.

Type
Proceedings 1885-86
Information
Proceedings of the Royal Society of Edinburgh , Volume 13 , 1886 , pp. 514 - 522
Copyright
Copyright © Royal Society of Edinburgh 1886

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