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

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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 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 .

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

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Author Initial upload by Amada44 based on PNG and PostScript vector source by AnonMoos
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Date/TimeThumbnailDimensionsUserComment
current22:33, 20 April 2013Thumbnail for version as of 22:33, 20 April 20131,003 × 988 (1 KB)AnonMoosslightly simplify, readjust margins
06:47, 28 January 2013Thumbnail for version as of 06:47, 28 January 2013533 × 525 (2 KB)AnonMoosremove Adobe cruft
13:46, 20 December 2006Thumbnail for version as of 13:46, 20 December 2006532 × 524 (39 KB)Amada44 == 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 f
13:45, 20 December 2006Thumbnail for version as of 13:45, 20 December 2006532 × 524 (39 KB)Amada44 == 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 f

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