Template:Infobox knot theory/doc

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< Template:Infobox knot theory
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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 "&nbsp;" 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

v · d · e