File:Knot-9crossings-symmetrical.svg

Summary

Description

Decorative knot with nine crossings, depicted with three-fold symmetry. The central portion has a shape like a triquetra. Topologically equivalent to File:9crossings-knot-symmetric-triangles-pseudo-valknut.svg and File:9crossings-knot-symmetric-triangles-quasi-valknut.svg.

For a 12-crossing symmetrical knot which visually extends this, see Image:12crossings-rose-rhodonea-limacon-symmetrical-knot.svg .

For another (topologically distinct) 9-crossing knot with three-fold symmetry, see File:9crossings-decorative-knot-threefold-incircle.svg .
Date
Source

Self-made graphic, converted from a version of the following vector PostScript source code:

%!
306 396 translate .4 dup scale/x 240 3 sqrt div neg def
24 setlinewidth 1 setgray/A{-120 x 360 210 360 arc 0 x
240 0 180 arc 120 x 360 180 330 arc 60 10800 sqrt rlineto
gsave 60 setlinewidth 0 setgray stroke grestore stroke}def
A gsave 2{120 rotate A}repeat grestore 60 setlinewidth 0
setgray 3{-120 x 360 277 302 arc stroke 0 x 240 47 71
arc stroke 120 rotate}repeat 0 x 240 170 180 arc 120 x 360
180 187 arc stroke 1 setgray 24 setlinewidth 3{-120 x 360
276 303 arc stroke 0 x 240 46 72 arc stroke 120 rotate}
repeat 0 x 240 160 180 arc 120 x 360 180 188 arc stroke
showpage
%EOF
Author AnonMoos

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#Knot-9crossings-symmetrical.svgCategory:PD-self#Knot-9crossings-symmetrical.svg Category:Prime knots with 9 crossings Category:Decorative knots Category:Knots with 3-fold rotational symmetry Category:Images with PostScript source code Category:Knots and links on transparent background Category:Outline knots and links Category:Round graphic ornaments Category:Graphic ornaments with transparent background Category:3 writhe knots and links Category:Reversible knots and links Category:3 bridge number knots and links Category:Turk's head knots
Category:3 bridge number knots and links Category:3 writhe knots and links Category:Decorative knots Category:Graphic ornaments with transparent background Category:Images with PostScript source code Category:Knots and links on transparent background Category:Knots with 3-fold rotational symmetry Category:Outline knots and links Category:PD-self Category:Prime knots with 9 crossings Category:Reversible knots and links Category:Round graphic ornaments Category:Self-published work Category:Turk's head knots