The Knot Atlas is a website, an encyclopedia rather than atlas, dedicated to knot theory. It and its predecessor were created by mathematician Dror Bar-Natan, who maintains the current site with Scott Morrison. According to Schiller, the site contains, "beautiful illustrations and detailed information about knots," as does KnotPlot.com.[1] According to the site itself, it is a knot atlas (collection of maps), theory database, knowledge base, and "a home for some computer programs".[2]
References
Schiller, Christoph (2012). Motion Mountain, The Adventure of Physics – Vol. 5: Motion Inside Matter – Pleasure, Technology and Stars, p. 272. MotionMountain.net.
"Knot Atlas:About", The Knot Atlas.
External links
Official website
Morrison, Scott (Aug 20, 2007). "Grepping the Knot Atlas". Secret Blogging Seminar.
Knot theory (knots and links)
Hyperbolic
Figure-eight (41) Three-twist (52) Stevedore (61) 62 63 Endless (74) Carrick mat (818) Perko pair (10161) (−2,3,7) pretzel (12n242) Whitehead (52
1) Borromean rings (63
2) L10a140
Satellite
Composite knots
Granny Square Knot sum
Torus
Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02
1) Hopf (22
1) Solomon's (42
1)
Invariants
Alternating Arf invariant Bridge no.
2-bridge Brunnian Chirality
Invertible Crosscap no. Crossing no. Finite type invariant Hyperbolic volume Khovanov homology Genus Knot group Link group Linking no. Polynomial
Alexander Bracket HOMFLY Jones Kauffman Pretzel Prime
list Stick no. Tricolorability Unknotting no. and problem
Notation
and operations
Alexander–Briggs notation Conway notation Dowker notation Flype Mutation Reidemeister move Skein relation Tabulation
Other
Alexander's theorem Berge Braid theory Conway sphere Complement Double torus Fibered Knot List of knots and links Ribbon Slice Sum Tait conjectures Twist Wild Writhe Surgery theory
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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