Image:Three-triang-18crossings-Brunnian.svg

[edit] Summary

A three-component Brunnian link which is not the Borromean rings -- no two triangles are directly interlinked, but all three are collectively interlinked, and cutting any triangle will free the other two. For another three-component Brunnian link which is not the same as the Borromean rings, see Image:Brunnian-3-not-Borromean.png .

The three interlaced triangles are a minor symbol in some New Age / occultist / neo-pagan circles (presumably with a different preferred color scheme), and for such purposes it is occasionally called "the star of the muses".

This image is an SVG conversion of Image:Three-triang-18crossings-Brunnian.png, generated by means of the following PostScript code:

%!
300 396 translate 2.5 dup scale 5 setlinewidth /x{7500
sqrt -50 moveto 30000 sqrt neg 0 rlineto 7500 sqrt 150 rlineto
closepath y}def/y{gsave 8 setlinewidth 0 setgray stroke
grestore stroke}def 1 0 0 setrgbcolor x gsave 0 0 1 setrgbcolor
40 rotate x 1 1 0 setrgbcolor 40 rotate x grestore/z{gsave 8
setlinewidth 0 setgray 7500 sqrt 35 sub -50 moveto -18 0
rlineto stroke 7500 sqrt 94 sub -50 moveto -21 0 rlineto stroke
-69.1025404 -19.6891109 moveto 9 243 sqrt rlineto stroke
-39.6025404 31.40638796 moveto 10.5 330.75 sqrt rlineto stroke
17.5 69.6891109 moveto 9 243 sqrt neg rlineto stroke 47
18.59361204 moveto 10.5 330.75 sqrt neg rlineto stroke grestore
/q{.75 sqrt}def/r{3 sqrt}def 7500 sqrt 34 sub -50 moveto -20 0
rlineto stroke 7500 sqrt 93 sub -50 moveto -23 0 rlineto stroke
-69.1025404 .5 sub -19.6891109 q sub moveto 10 243 sqrt r add
rlineto stroke -39.6025404 .5 sub 31.40638796 q sub moveto 11.5
330.75 sqrt r add rlineto stroke 17 69.6891109 q add moveto 10
243 sqrt r add neg rlineto stroke 46.5 18.59361204 q add moveto
11.5 330.75 sqrt r add neg rlineto stroke}def 1 0 0 setrgbcolor
z 0 0 1 setrgbcolor 40 rotate z
%%EOF

[edit] Licensing

This image has been released into the public domain by its author, AnonMoos. This applies worldwide. In some countries this may not be legally possible; if so: AnonMoos grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. العربية | Български | Deutsch | Ελληνικά | English | Español | Français | Italiano | 日本語 | 한국어 | Polski | Русский | Српски / Srpski | Svenska | தமிழ் | Українська | ‪中文(繁體)‬ | ‪中文(简体)‬  +/-

La page ci-dessous contient cette image :

• Entrelac brunnien