Template:Infobox knot theory

{{{name}}}
[[File:{{{image}}}|225x188px|center]] {{{caption}}}
Common name	[[{{{practical name}}}]]
Arf invariant	{{{arf invariant}}}[[Category:{{{arf invariant}}} Arf invariant knots and links]]
Braid length	{{{braid length}}}[[Category:{{{braid length}}} braid length knots and links]]
Braid no.	{{{braid number}}}[[Category:{{{braid number}}} braid number knots and links]]
Bridge no.	{{{bridge number}}}[[Category:{{{bridge number}}} bridge number knots and links]]
Crosscap no.	{{{crosscap number}}}[[Category:{{{crosscap number}}} crosscap number knots and links]]
Crossing no.	{{{crossing number}}}[[Category:{{{crossing number}}} crossing number knots and links]]
Genus	{{{genus}}}[[Category:{{{genus}}} genus knots and links]]
Hyperbolic volume	{{{hyperbolic volume}}}
Linking no.	{{{linking number}}}[[Category:{{{linking number}}} linking number links]]
Stick no.	{{{stick number}}}[[Category:{{{stick number}}} stick number knots and links]]
Tunnel no.	{{{tunnel number}}}[[Category:{{{tunnel number}}} tunnel number knots and links]]
Unknotting no.	{{{unknotting number}}}[[Category:{{{unknotting number}}} unknotting number knots and links]]
Conway notation	{{{conway_notation}}}
A-B notation	{{{ab_notation}}}
Dowker notation	{{{dowker notation}}}
D-T name	{{{d-t name}}}
Thistlethwaite	{{{thistlethwaite}}}
Last /Next	[[{{{last crossing}}} {{{last order}}} knot|{{{last crossing}}}{{{last order}}}]] / [[{{{last link}}} link|{{{last link}}}]] / [[{{{next crossing}}} {{{next order}}} knot|{{{next crossing}}}{{{next order}}}]][[{{{next link}}} link|{{{next link}}}]]

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Usage

{{Infobox knot theory
| name=              Knot theory name
| common name=       Equivalent real world knot
| image=             File name & extension
| caption=           Image caption
| arf invariant=     Arf invariant
| braid length=      Braid length
| braid number=      Braid number
| bridge number=     Bridge number
| crosscap number=   Crosscap number
| crossing number=   Crossing number
| genus=             Knot genus
| hyperbolic volume= Hyperbolic volume
| linking number=    Linking number
| stick number=      Stick number
| tunnel number=     Tunnel number
| unknotting number= Unknotting number
| conway_notation=   Conway notation
| ab_notation=       Alexander–Briggs notation
| d-t name=          D-T name
| dowker notation=   Dowker notation
| thistlethwaite=    Thistlewaite link table
| last crossing=     Last prime knot's crossing # (AB notation) ("| last link=" for links)
| last order=        Last prime knot's order # (AB notation) (not needed for links)
| next crossing=     Next prime knot's crossing # (AB notation) ("| next link=" for links)
| next order=        Next prime knot's order # (AB notation) (not needed for links)
 | alternating=      "alternating" or blank
 | class=            "hyperbolic", "satellite" ("composite", "cable",
                     or "Whitehead double"), "torus", or blank
 | fibered=          "fibered" or blank
 | pretzel=          "pretzel" or blank
 | prime=            "prime" or "composite"
 | slice=            "slice" or blank
 | symmetry=         "amphichiral", "fully amphichiral", "chiral", or "reversible"
 | tricolorable=     "tricolorable" or blank
 | twist=            "twist" or blank
}}

The template adds articles to categories based on Arf invariant, bridge, crossing, linking, stick, and unknotting numbers (e.g. Category:Knots and links by bridge number), if values for those invariants are present (e.g. Category:2 bridge number knots and links).

• Arf invariant: Adds articles to category only if value is present.
• Braid length/braid number: Adds articles to category only if value is present.
• Crosscap number: Adds articles to category only if value is present.
• Crossing number: Adds articles to category only if value is present.
• Genus: Adds articles to category only if value is present.
• Hyperbolic volume: Does not add articles to category.
• Linking number: Adds articles to category only if value is present.
• Stick number: Adds articles to category only if value is present.
• Tunnel number: Adds articles to category only if value is present.
• Unknotting number: Adds articles to category only if value is present.
• Conway notation: Displays notation if present.
• Alexander–Briggs notation: Displays notation if present.
• D-T name: Displays notation if present.
• Dowker notation: Displays notation if present.
• Thistlewaite link table: Displays notation if present.
• Next/Last: For lower crossing number knots (3₁) use "next crossing" (3) and "next order" (1). For higher crossing numbers (where alternating or non-alternating is indicated: 12n242) add the name to "next/last crossing" and " " to "next/last order". For links use "last link" and "next link".

• Alternating: Adds articles to category if value is present or not.
• Class: The template adds articles to the following categories if values exist: "hyperbolic", "satellite" ("composite", "cable", or "Whitehead double"), and/or "torus". If no value exists it adds articles to "Category:Knots and links", unless "nextlink=" is present in which case it adds "Category:Links (knot theory)".
• Fibered: Adds articles to category if value is present or not.
• Invertible: Adds articles to category if value is present or not.
• Pretzel: Adds articles to category only if value is present.
• Prime: Adds articles to category only if value is present.
• Slice: Adds articles to category only if value is present.
• Symmetry: Adds articles to category ("fully amphichiral", "amphichiral", "chiral", "fully chiral", or "reversible") if value is present.
• Tricolorable: Adds articles to category only if value is present.
• Twist: Adds articles to category only if value is present.

Full template

{{Infobox knot theory | name= | common name= | image= | caption= | arf invariant= | braid length= | braid number= | bridge number= | crosscap number= | crossing number= | hyperbolic volume= | linking number= | stick number= | tunnel number= | unknotting number= | conway_notation= | ab_notation= | dowker notation= | d-t name= | thistlethwaite= | last crossing= | last order= | next crossing= | next order= | alternating= | class= | fibered= | invertible= | pretzel= | prime= | slice= | symmetry= | tricolorable= | twist= }}

See also

• J.C. Cha and C. Livingston, "Main page", KnotInfo: Table of Knot Invariants, Accessed: 20 May 2013.
• {{Infobox graph}}

• {{Animated Knots}}
• {{Heraldic knot}}
• {{Infobox heraldic knot}}
• {{Infobox knot}}
• {{Infobox knot theory}}
• {{Knot Atlas}}
• {{Knot-stub}}
• {{Knot theory}}
• {{KnotInfo}}
• {{Knots}}
• {{Necktie knots}}
• {{Reef knot family}}
• {{MathWorld}} and {{OEIS}}