Welcome to The Library

The Grand intention is that The Library will house information on all kdocumented knots.

The Library was created in June 2008  following the discovery of a means of indexing a knot based on its structure, it's Binary Signature.  This was an enhancement of the method of counting Crossings as piblished by Geoffrey Budworth in his book 'Knots & Crime' and its later refinement, the Overs Index developed by Derek Smith in 2007.  For a Library to become valuable, it needs to satisfy two basic requirements --

First, the Library should contain the necessary information both in terms of Quantity (range and scope) and Quality ( reliability and accuracy).  It is hoped that members of the IGKT will build and verify the information held in The Library.

Second, the Library must have an efficient means of accessing its information.  If the user knows one of the many names a knot might have, then the wiki Knot Library has a simple means of finding and displaying its information through the Search facility.  Simply key the name or known terms into the search field and the wiki Library will return all the references it has on record, allowing the user to navigate directly to the information.  The Library will also be indexed by each knots Binary Signature, allowing a knots information to be accessed when only its structure is known.  The Binary Signature and its potential use as a powerful indexing system was discovered in June 2008 by Derek Smith working in conjunction with Frank Brown, both members of the IGKT.

Both the Library and the means of producing the BinarySig will now become parts of a voluntary members project.