File:Triquetra-circle-interlaced-wallpaper-tile.png

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Triquetra-circle-interlaced-wallpaper-tile.png(678 × 588 pixels, file size: 48 KB, MIME type: image/png)

Summary

Description An indefinitely-extended pattern of L9a32 knot-theoretic links or "Trinity knots" (triquetra interlaced with circle). See Image:Triquetra-circle-interlaced.svg / Image:Triquetra-circle-interlaced.png for single knot.
Date
Source

Converted from the following vector PostScript source code:

%!
/!{def}def/s{setrgbcolor}!/l{stroke}!/S{3 sqrt mul}!
/k{0 0 0 s 5.6 setlinewidth}!/C{50 50 3 sqrt div 19.4}!
/K{1 .95 .8 s 2.8 setlinewidth}!/C2{25 3 sqrt div}!
/C3{25 8.5 cos div}!/C4{C3 8.5 sin mul}!
/C5{50 C2 C4 sub C3}!/C6{62.5 C4 S 2 div add C2 12.5 S
add C4 2 div add C3}!/C7{37.5 C4 S 2 div sub C2 12.5 S
add C4 2 div add C3}!/T{k C 0 360 arc closepath l K
C 0 360 arc closepath l k C5 4.0925 175.9075 arc l
C7 -115.9075 55.9075 arc l C6 124.0925 -64.0925 arc l
K C5 6.149 173.851 arc l C7 -113.851 53.851 arc l
C6 126.149 -66.149 arc l k C5 106 117 arc l
C7 -14 -3 arc l C6 226 237 arc l C 48 80 arc l
C 168 200 arc l C 288 320 arc l K C5 105 118 arc l
C7 -15 -2 arc l C6 225 238 arc l C 46 82 arc l
C 166 202 arc l C 286 322 arc l}!/V{gsave 1 -1 scale T
grestore}def clippath .8 .9 1 setrgbcolor fill
-10 0 translate gsave -74.5 -2 translate
/U{gsave 8{80 0 translate T}repeat grestore
-40 80 .75 sqrt mul translate
gsave 8{80 0 translate T}repeat grestore}!
6{U 40 80 .75 sqrt mul translate}repeat grestore
-114.5 78.9 translate
/U{gsave 8{80 0 translate V}repeat grestore
40 80 .75 sqrt mul translate
gsave 8{80 0 translate V}repeat grestore}!
6{U -40 80 .75 sqrt mul translate}repeat showpage
%EOF
Author AnonMoos
Other versions File:Interlinked-trefoil-knots background-tile.svg

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Date/TimeThumbnailDimensionsUserComment
current10:25, 29 December 2009Thumbnail for version as of 10:25, 29 December 2009678 × 588 (48 KB)AnonMoosAn indefinitely-extended pattern of [http://katlas.math.toronto.edu/wiki/L9a32 L9a32] knot-theoretic links or "Trinity knots" (triquetra interlaced with circle). See Image:Triquetra-circle-interlaced.svg / Image:Triquetra-circle-interlaced.png
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