File:Three-triang-18crossings-Brunnian.png
| Uploaded by | AnonMoos |
|---|---|
| Upload date | 2007-09-19T13:04:15Z |
| MIME type | image/png |
| Dimensions | 612 × 600 px |
| File size | 12.2 KB |
Summary
| Description |
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 . A version of this figure is found in the sixth century Marundheeswarar Temple in Thiruvanmayur, South Chennai, India, associated with the goddess Tripurasundari (see external page http://www.liv.ac.uk/%7Espmr02/rings/maths.html ). The three interlaced triangles are also 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". For a revised version of this image presumably more artistically suited to such symbolic uses, see Image:Interlaced-Triangles quasi-Arabesque Brunnian-link.svg . |
|||
| Date | Initially uploaded on 15:48, 8 May 2006 | |||
| Source |
Own work - This image was 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 showpage
%EOF |
|||
| Author | AnonMoos | |||
| Other versions |
|
Licensing
|
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. |