File:Reeb foliation half-torus POV-Ray.png
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Size of this preview: 750 × 600 pixels. Other resolutions: 300 × 240 pixels | 600 × 480 pixels | 1,000 × 800 pixels.
Original file (1,000 × 800 pixels, file size: 420 KB, MIME type: image/png)
Summary
| Description |
English: Reeb foliation, generated with gnuplot and POV-Ray (see details below) |
| Date | |
| Source | Own work |
| Author | Ilya Voyager |
| PNG development |  This plot was created with gnuplot. and with povray. |
Source code
I used gnuplot 4.0 with this patch: gnuplot patch to add POV-Ray and VRML terminals. t-kita.net. Retrieved on 2025-12-09. to produce POV-Ray sources, than tweeked it slightly and rendered. The following sources are in public domain as well as the image.
set term povray
set output "~/prj/wikipedia/reebfoliation/torus.pov"
set view 40,280
set parametric
set iso 15
unset key
unset border
r=3
fx1(u,v)=(pi/2*sin(v)+r)*cos(u/(pi/2-0.3)*2*pi)
fy1(u,v)=(pi/2*sin(v)+r)*sin(u/(pi/2-0.3)*2*pi)
fz1(u,v)=pi/2*cos(v)
fx2(u,v,n)=(abs(u)*sin(v)+r)*cos(1/cos(u)+2*n*pi/6)
fy2(u,v,n)=(abs(u)*sin(v)+r)*sin(1/cos(u)+2*n*pi/6)
fz2(u,v,n)=abs(u)*cos(v)
splot [0:pi/2-0.3] [2*pi/4:6*pi/4] \
fx1(u,v), fy1(u,v), fz1(u,v) w l lt 6, \
fx1(u,v), fy1(u,v), fz1(u,v) w d lt 6,\
fx2(u,v,0), fy2(u,v,0), fz2(u,v,0) w l lt 2, \
fx2(u,v,0), fy2(u,v,0), fz2(u,v,0) w d lt 2,\
fx2(u,v,1), fy2(u,v,1), fz2(u,v,3) w l lt 3, \
fx2(u,v,1), fy2(u,v,1), fz2(u,v,3) w d lt 3,\
fx2(u,v,2), fy2(u,v,2), fz2(u,v,3) w l lt 2, \
fx2(u,v,2), fy2(u,v,2), fz2(u,v,3) w d lt 2,\
fx2(u,v,3), fy2(u,v,3), fz2(u,v,3) w l lt 3, \
fx2(u,v,3), fy2(u,v,3), fz2(u,v,3) w d lt 3, \
fx2(u,v,4), fy2(u,v,4), fz2(u,v,12) w l lt 2, \
fx2(u,v,4), fy2(u,v,4), fz2(u,v,12) w d lt 2, \
fx2(u,v,5), fy2(u,v,5), fz2(u,v,15) w l lt 3, \
fx2(u,v,5), fy2(u,v,5), fz2(u,v,3) w d lt 3,\
fx2(u,v,6), fy2(u,v,6), fz2(u,v,15) w l lt 2, \
fx2(u,v,6), fy2(u,v,6), fz2(u,v,3) w d lt 2,\
fx2(u,v,7), fy2(u,v,7), fz2(u,v,15) w l lt 3, \
fx2(u,v,7), fy2(u,v,7), fz2(u,v,3) w d lt 3
The following patch is then applied to pov source:
--- torus-orig.pov 2010-03-13 17:09:46.000000000 +0300
+++ torus.pov 2010-03-13 21:10:44.000000000 +0300
@@ -3,22 +3,22 @@
#include "colors.inc"
#include "shapes.inc"
#include "textures.inc"
-camera{ location <-291.511,-30.8094,-403.022>
+camera{ location <-291.511,-30.8094,-703.022>
sky <0,0,-1>
-look_at <23,25,-18>
-angle 13}
+look_at <23,25,-33>
+angle 5}
background{ color White }
-object{ Plane_XY texture{ PinkAlabaster }}
+//object{ Plane_XY texture{ pigment {White} }}
light_source{ <-291.511, -30.8094, -403.022> color 0.9* White }
light_source{ <-116.604,-12.3238,-282.116> color 0.9* White }
//color_definition
//#declare Pcolor0 = material{texture{pigment{color Red filter 0.6} finish{ambient 0.05 phong 0.8}}}
#declare Pcolor1 = material{texture{pigment{color Red}}}
-#declare Pcolor2 = material{texture{pigment{color Green}}}
-#declare Pcolor3 = material{texture{pigment{color Blue}}}
+#declare Pcolor2 = material{texture{pigment{color rgbt<0.5,0.9,0.5,0>}}}
+#declare Pcolor3 = material{texture{pigment{color rgbt<0.5,0.5,0.9,0>}}}
#declare Pcolor4 = material{texture{pigment{color Magenta}}}
#declare Pcolor5 = material{texture{pigment{color SkyBlue}}}
-#declare Pcolor6 = material{texture{pigment{color Brown}}}
+#declare Pcolor6 = material{texture{pigment{color rgbt<0.9,0.4,0.5,0>}}}
#declare Pcolor7 = material{texture{pigment{color Yellow}}}
#declare Pcolor8 = material{texture{pigment{color Orange}}}
#declare Grid = union{
@@ -65,9 +65,9 @@
cylinder{<0,25,0><50,25,0>,0.2}
cylinder{<0,37.5,0><50,37.5,0>,0.2}
}
-object{ Grid texture{DMFWood6}}
-text{ ttf "crystal.ttf","-5",0.2,0
-pigment{White}
+//object{ Grid texture{DMFWood6}}
+//text{ ttf "crystal.ttf","-5",0.2,0
+/*pigment{White}
scale 4
rotate<-40,0,280>
translate<3,-7,-1>
@@ -108,6 +108,7 @@
translate<-5,55,-37>
finish{ambient 3}
}
+*/
#declare Plot1 = union{
cylinder{<47.854,25,-36.6667>,<47.808,26.4495,-36.6667>,0.2}
cylinder{<47.808,26.4495,-36.6667>,<47.6701,27.8931,-36.6667>,0.2}
@@ -38492,4 +38493,3 @@
triangle{<22.5996,16.6939,-36.6667>,<21.481,17.0323,-36.6667>,<22.5554,16.5408,-31.9537>}
}
object{Plot18 material{Pcolor3}}
-
Licensing
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:19, 13 March 2010 | | 1,000 × 800 (420 KB) | wikimediacommons>Ilya Voyager | Tweeks with colors |
File usage
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