Naming and Enumeration: Difference between revisions
No edit summary |
DrorsRobot (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
<code>KnotTheory`</code> comes loaded with some knot tables; currently, the Rolfsen table of prime knots with up to 10 crossings {{ref|Rolfsen}}, the Hoste-Thistlethwaite tables of prime knots with up to 16 crossings and the Thistlethwaite table of prime links with up to 11 crossings (see [[Further Knot Theory Software#Knotscape]]): |
<code>KnotTheory`</code> comes loaded with some knot tables; currently, the Rolfsen table of prime knots with up to 10 crossings {{ref|Rolfsen}}, the Hoste-Thistlethwaite tables of prime knots with up to 16 crossings and the Thistlethwaite table of prime links with up to 11 crossings (see [[Further Knot Theory Software#Knotscape]]): |
||
<!--$Startup Note$ |
<!--$Startup Note$--> |
||
<!--The lines to END were generated by WikiSplice: do not edit; see manual.--> |
|||
(For <tt><font color=blue>In[1]</font></tt> see [[Setup]]) |
|||
| ⚫ | |||
<!--$$?Knot$$--> |
<!--$$?Knot$$--> |
||
<!--The lines to END were generated by WikiSplice: do not edit; see manual.--> |
|||
| ⚫ | |||
{| width=70% border=1 align=center |
|||
| |
|||
<font color=blue><tt>In[2]:=</tt></font><font color=red><code> ?Knot</code></font> |
|||
<tt>Knot[n, k] denotes the kth knot with n crossings in the Rolfsen table. Knot[11, Alternating, k] denotes the kth alternating 11-crossing knot in the Hoste-Thistlethwaite table. Knot[11, NonAlternating, k] denotes the kth non alternating 11-crossing knot in the Hoste-Thistlethwaite table.</tt> |
|||
| ⚫ | |||
<!--$$?Link$$--> |
<!--$$?Link$$--> |
||
<!--The lines to END were generated by WikiSplice: do not edit; see manual.--> |
|||
| ⚫ | |||
{| width=70% border=1 align=center |
|||
| |
|||
<font color=blue><tt>In[3]:=</tt></font><font color=red><code> ?Link</code></font> |
|||
<tt>Link[n, Alternating, k] denotes the kth alternating n-crossing link in the Thistlethwaite table. Link[n, NonAlternating, k] denotes the kth non alternating n-crossing link in the Thistlethwaite table.</tt> |
|||
|}<!--END--> |
|||
== References== |
== References== |
||
Revision as of 15:58, 23 August 2005
KnotTheory` comes loaded with some knot tables; currently, the Rolfsen table of prime knots with up to 10 crossings [Rolfsen], the Hoste-Thistlethwaite tables of prime knots with up to 16 crossings and the Thistlethwaite table of prime links with up to 11 crossings (see Further Knot Theory Software#Knotscape):
(For In[1] see Setup)
|
In[2]:= Knot[n, k] denotes the kth knot with n crossings in the Rolfsen table. Knot[11, Alternating, k] denotes the kth alternating 11-crossing knot in the Hoste-Thistlethwaite table. Knot[11, NonAlternating, k] denotes the kth non alternating 11-crossing knot in the Hoste-Thistlethwaite table. |
|
In[3]:= Link[n, Alternating, k] denotes the kth alternating n-crossing link in the Thistlethwaite table. Link[n, NonAlternating, k] denotes the kth non alternating n-crossing link in the Thistlethwaite table. |
References
[Rolfsen] ^ D. Rolfsen, Knots and Links, Publish or Perish, Mathematics Lecture Series 7, Wilmington 1976.
