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| View Original: | Three-triang-18crossings-Brunnian.svg (1003x988) | |||
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| Keywords: Three-triang-18crossings-Brunnian.svg 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 <gallery>File Interlaced-Triangles quasi-Arabesque Brunnian-link svg File Interlaced-Triangles Brunnian-link alternate svg</gallery> This image is an SVG conversion of Image Three-triang-18crossings-Brunnian png generated by means of the following PostScript code <pre> 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</pre> 2006 Initial upload by Amada44 based on PNG and PostScript vector source by AnonMoos AnonMoos 3 component links Equilateral triangles Decorative knots Brunnian links Nine pointed stars Color permutation of order 3 Blue red yellow Chiral images with rotational symmetry 3-fold rotational symmetry Knots and links on transparent background Alternating knots and links | ||||
