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

From Wikipedia, the free encyclopedia

Three-triang-18crossings-Brunnian.png (13KB, MIME type: image/png)

Wikimedia Commons logo This is a file from the Wikimedia Commons. The description on its description page there is shown below.
This image (or all images in this article or category) should be recreated using vector graphics as an SVG file. This has several advantages; see Commons:Images for cleanup for more information. If an SVG form of this image is already available, please upload it. After uploading an SVG, replace this template with template {{SupersededSVG|new image name.svg}} in this image.

Česky | Deutsch | English | Español | Français | Italiano | Nederlands | Polski | Português | Русский | العربية | +/-

[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 .

This image 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

Public domain I, the author of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.


Afrikaans | Alemannisch | Aragonés | العربية | Български | Català | Česky | Cymraeg | Dansk | Deutsch | Ελληνικά | English | Español | Esperanto | فارسی | Français | Galego | 한국어 | हिन्दी | Hrvatski | Ido | Bahasa Indonesia | Íslenska | Italiano | עברית | Latina | Lietuvių | Magyar | Bahasa Melayu | Nederlands | Norsk (bokmål) | Norsk (nynorsk) | 日本語 | Polski | Português | Ripoarish | Română | Русский | Slovenčina | Slovenščina | Српски | Svenska | ไทย | Türkçe | Українська | Tiếng Việt | Walon | 简体中文 | 繁體中文 | 粵語 | +/-

The following pages on the English Wikipedia link to this file (pages on other projects are not listed):