File:Impossible trefoil knot Isometric.png: Difference between revisions

From Knot Atlas
Jump to navigationJump to search
(Trefoil (three-crossing) knot of mathematical knot theory, depicted as an impossible object, shown in isometric projection pseudo-perspective. Self-made, declared to be in public domain, generated from the following PostScript source code: <pre>%! 300 33)
 
(simpler source)
 
Line 6: Line 6:
dup/xc exch def exch .5 add 144 mul xc -72 mul add exch .5 add
dup/xc exch def exch .5 add 144 mul xc -72 mul add exch .5 add
15552 sqrt mul exch}def/l{X lineto}def 0 3 X moveto 0 1 l 3 1 l 3
15552 sqrt mul exch}def/l{X lineto}def 0 3 X moveto 0 1 l 3 1 l 3
2 l 1 2 l 1 0 l 2 0 l 2 3 l closepath 0 setgray 72 setlinewidth
2 l 1 2 l 1 0 l 2 0 l 2 3 l closepath 0 setgray 72 setlinewidth 1
1 setlinejoin stroke 9 setlinewidth 2 1.75 X moveto 2 .25 l
setlinejoin stroke 9 setlinewidth 1 0 X moveto .75 -.25 l 2 -.25
1.75 .25 l 1.75 1.75 l gsave 0 1 0 setrgbcolor fill grestore
l 2.25 0 l closepath gsave 1 1 0 setrgbcolor fill grestore stroke
stroke 2.6 2 X moveto 1.25 2 l 1.25 1.4 l 1 1.4 l 1 2.25 l 2.6
0 1 X moveto -.25 .75 l 3 .75 l 3.25 1 l closepath gsave 1 1 0
2.25 l gsave 0 .25 1 setrgbcolor fill grestore stroke 2.25 0.4 X
moveto 2.25 1.6 l 2 1.6 l 2 0.4 l gsave 0 .25 1 setrgbcolor fill
grestore stroke 1 0 X moveto .75 -.25 l 2 -.25 l 2.25 0 l
closepath gsave 1 1 0 setrgbcolor fill grestore stroke 0 1 X
moveto -.25 .75 l 3 .75 l 3.25 1 l closepath gsave 1 1 0
setrgbcolor fill grestore stroke 1.25 2 X moveto 1.25 1.75 l 2.75
setrgbcolor fill grestore stroke 1.25 2 X moveto 1.25 1.75 l 2.75
1.75 l 3 2 l closepath gsave 1 1 0 setrgbcolor fill grestore
1.75 l 3 2 l closepath gsave 1 1 0 setrgbcolor fill grestore
stroke .25 3 X moveto .25 2.75 l 1.75 2.75 l 2 3 l closepath
stroke .25 3 X moveto .25 2.75 l 1.75 2.75 l 2 3 l closepath
gsave 1 1 0 setrgbcolor fill grestore stroke .25 1 X moveto 1.6 1
gsave 1 1 0 setrgbcolor fill grestore stroke 0 3.25 X moveto 0 1
l 1.6 1.25 l .25 1.25 l gsave 0 .25 1 setrgbcolor fill grestore
l -.25 .75 l -.25 3 l closepath gsave 0 .94 0 setrgbcolor fill
stroke 0 3.25 X moveto 0 1 l -.25 .75 l -.25 3 l closepath gsave
grestore stroke 2 .75 X moveto 2 .25 l 1.75 .25 l 1.75 .75 l
0 1 0 setrgbcolor fill grestore stroke 1 2.25 X moveto 1 0 l .75
closepath gsave 0 .94 0 setrgbcolor fill grestore stroke 1 2.25 X
-.25 l .75 2 l closepath gsave 0 1 0 setrgbcolor fill grestore
moveto 1 0 l .75 -.25 l .75 2 l closepath gsave 0 .94 0
stroke 2 1.5 X moveto 2 3 l 1.75 2.75 l 1.75 1.25 l gsave 0 1 0
setrgbcolor fill grestore stroke 2 1.25 X moveto 2 3 l 1.75 2.75
l 1.75 1.25 l closepath gsave 0 .94 0 setrgbcolor fill grestore
setrgbcolor fill grestore stroke 3 2 X moveto 3 1.25 l 2.75 1.25
stroke 3 2 X moveto 3 1.25 l 2.75 1.25 l 2.75 1.75 l closepath
l 2.75 1.75 l closepath gsave 0 1 0 setrgbcolor fill grestore
stroke 2.25 1.5 X moveto 2.25 3.25 l 0 3.25 l 0 1 l .5 1 l .5
gsave 0 .94 0 setrgbcolor fill grestore stroke 2.25 1.25 X moveto
1.25 l .25 1.25 l .25 3 l 2 3 l 2 1.5 l gsave 0 .25 1 setrgbcolor
2.25 3.25 l 0 3.25 l 0 1 l .75 1 l .75 1.25 l .25 1.25 l .25 3 l
fill grestore stroke 2.4 2.25 X moveto 3.25 2.25 l 3.25 1 l 1.4 1
2 3 l 2 1.25 l closepath gsave 0 .25 1 setrgbcolor fill grestore
l 1.4 1.25 l 3 1.25 l 3 2 l 2.4 2 l gsave 0 .25 1 setrgbcolor
stroke 2.25 2.25 X moveto 3.25 2.25 l 3.25 1 l 1.25 1 l 1.25 1.25
fill grestore stroke 2 0.6 X moveto 2 .25 l 1.25 .25 l 1.25 1.6 l
l 3 1.25 l 3 2 l 2.25 2 l closepath gsave 0 .25 1 setrgbcolor
1 1.6 l 1 0 l 2.25 0 l 2.25 0.6 l gsave 0 .25 1 setrgbcolor fill
fill grestore stroke 2 0.75 X moveto 2 .25 l 1.25 .25 l 1.25 2 l
grestore stroke 2 1.6 X moveto 2 1.4 l stroke 2.25 .7 X moveto
1.75 2 l 1.75 2.25 l 1 2.25 l 1 0 l 2.25 0 l 2.25 0.75 l
closepath gsave 0 .25 1 setrgbcolor fill grestore stroke showpage
2.25 .5 l stroke 2.3 2 X moveto 2.5 2 l stroke 22.5 setlinewidth
0 .25 1 setrgbcolor 1.125 1.45 X moveto 1.125 1.75 l stroke .6
1.125 X moveto .4 1.125 l stroke 1.5 1.125 X moveto 1.334 1.125 l
stroke 4.5 setlinewidth 1.4 1.19286 X moveto 1.34 1.19286 l
stroke showpage
%EOF</pre>
%EOF</pre>

Latest revision as of 18:52, 7 June 2011

Trefoil (three-crossing) knot of mathematical knot theory, depicted as an impossible object, shown in isometric projection pseudo-perspective.

Self-made, declared to be in public domain, generated from the following PostScript source code:

%!
300 335 translate .6 dup scale 180 rotate 9 setlinewidth/X{exch
dup/xc exch def exch .5 add 144 mul xc -72 mul add exch .5 add
15552 sqrt mul exch}def/l{X lineto}def 0 3 X moveto 0 1 l 3 1 l 3
2 l 1 2 l 1 0 l 2 0 l 2 3 l closepath 0 setgray 72 setlinewidth 1
setlinejoin stroke 9 setlinewidth 1 0 X moveto .75 -.25 l 2 -.25
l 2.25 0 l closepath gsave 1 1 0 setrgbcolor fill grestore stroke
0 1 X moveto -.25 .75 l 3 .75 l 3.25 1 l closepath gsave 1 1 0
setrgbcolor fill grestore stroke 1.25 2 X moveto 1.25 1.75 l 2.75
1.75 l 3 2 l closepath gsave 1 1 0 setrgbcolor fill grestore
stroke .25 3 X moveto .25 2.75 l 1.75 2.75 l 2 3 l closepath
gsave 1 1 0 setrgbcolor fill grestore stroke 0 3.25 X moveto 0 1
l -.25 .75 l -.25 3 l closepath gsave 0 .94 0 setrgbcolor fill
grestore stroke 2 .75 X moveto 2 .25 l 1.75 .25 l 1.75 .75 l
closepath gsave 0 .94 0 setrgbcolor fill grestore stroke 1 2.25 X
moveto 1 0 l .75 -.25 l .75 2 l closepath gsave 0 .94 0
setrgbcolor fill grestore stroke 2 1.25 X moveto 2 3 l 1.75 2.75
l 1.75 1.25 l closepath gsave 0 .94 0 setrgbcolor fill grestore
stroke 3 2 X moveto 3 1.25 l 2.75 1.25 l 2.75 1.75 l closepath
gsave 0 .94 0 setrgbcolor fill grestore stroke 2.25 1.25 X moveto
2.25 3.25 l 0 3.25 l 0 1 l .75 1 l .75 1.25 l .25 1.25 l .25 3 l
2 3 l 2 1.25 l closepath gsave 0 .25 1 setrgbcolor fill grestore
stroke 2.25 2.25 X moveto 3.25 2.25 l 3.25 1 l 1.25 1 l 1.25 1.25
l 3 1.25 l 3 2 l 2.25 2 l closepath gsave 0 .25 1 setrgbcolor
fill grestore stroke 2 0.75 X moveto 2 .25 l 1.25 .25 l 1.25 2 l
1.75 2 l 1.75 2.25 l 1 2.25 l 1 0 l 2.25 0 l 2.25 0.75 l
closepath gsave 0 .25 1 setrgbcolor fill grestore stroke showpage
%EOF

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current23:39, 2 June 2011Thumbnail for version as of 23:39, 2 June 2011432 × 600 (7 KB)AnonMoos (talk | contribs)Trefoil (three-crossing) knot of mathematical knot theory, depicted as an impossible object, shown in isometric projection pseudo-perspective. Self-made, declared to be in public domain, generated from the following PostScript source code: <pre>%! 300 33

The following 3 pages use this file: