File:Smale-Williams Solenoid.png

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Summary

Description
English: Smale — Williams solenoid map (original solid torus and its first image)
Русский: Отображение соленоида Смейла — Вильямса: исходное полноторие и первый образ
Date
Source Own work
Author Ilya Voyager
 
This image was created with POV-Ray.

I used gnuplot 4.0 with this patch to produce POV-Ray sources, than tweeked it slightly and rendered. The following sources are in public domain as well as the image.

 
This plot was created with Gnuplot.

The following patch then applied to pov sources:

--- solenoid.pov	2010-03-20 20:37:15.000000000 +0300
+++ solenoid-postprocessing.pov	2010-03-20 20:37:12.000000000 +0300
@@ -3,18 +3,28 @@
 #include "colors.inc" 
 #include "shapes.inc" 
 #include "textures.inc" 
-camera{ location <-291.511,-30.8094,-403.022>
+#include "glass.inc"
+camera{ location <-291.511,-30.8094,-303.022>
 sky <0,0,-1>
-look_at <23,25,-18>
-angle 13}
+look_at <23,25,-50>
+angle 8}
 background{ color White }
-object{ Plane_XY texture{ PinkAlabaster }}
-light_source{ <-291.511, -30.8094, -403.022> color 0.9* White }
-light_source{ <-116.604,-12.3238,-282.116> color 0.9* White }
+//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 1.9* White }
+light_source{<-291.511,-30.8094,-303.022>    	 color 1.0* White 
+	}
+light_source{<-291.511,-30.8094,-503.022>    	 color 0.5* White 
+	}
+light_source{<-291.511,-30.8094,-103.022>    	 color 0.5* 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 Pcolor1 = material{texture{pigment{color Green}}}
+//#declare Pcolor2 = material{texture{pigment{color Green}}}
+#declare Pcolor2 = material{texture {  pigment { rgbt<1,1,0,0.7> } }  }
+	//texture{pigment { color rgbt<1,1,0.6,0.785> }  }}
+//creater: gnuplot povray terminal
 #declare Pcolor3 = material{texture{pigment{color Blue}}}
 #declare Pcolor4 = material{texture{pigment{color Magenta}}}
 #declare Pcolor5 = material{texture{pigment{color SkyBlue}}}
@@ -65,7 +75,7 @@
 cylinder{<0,25,0><50,25,0>,0.2}
 cylinder{<0,37.5,0><50,37.5,0>,0.2}
 }
-object{ Grid texture{DMFWood6}}
+/*object{ Grid texture{DMFWood6}}
 text{ ttf "crystal.ttf","-4",0.2,0
 pigment{White}
 scale 4
@@ -108,6 +118,7 @@
 translate<-5,55,-37>
 finish{ambient 3}
 }
+*/
 #declare Plot1 = union{
 triangle{<43.8111,26.1895,-27.6241>,<43.8293,25,-27.6235>,<43.75,25,-27.625>}
 triangle{<43.8902,26.1945,-27.6226>,<43.8111,26.1895,-27.6241>,<43.8293,25,-27.6235>}
@@ -39512,7 +39523,6 @@
 triangle{<43.6707,25,-27.6235>,<43.6142,23.823,-27.6241>,<43.5351,23.828,-27.6226>}
 triangle{<43.75,25,-27.625>,<43.6707,25,-27.6235>,<43.6142,23.823,-27.6241>}
 }
-object{Plot1 material{Pcolor1}}
 
 #declare Plot2 = union{
 triangle{<43.7407,25.5919,-28.75>,<44.1464,25,-28.7425>,<43.75,25,-28.75>}
@@ -78918,5 +78928,6 @@
 triangle{<43.3536,25,-28.7425>,<43.7407,24.4081,-28.75>,<43.3445,24.4206,-28.7425>}
 triangle{<43.75,25,-28.75>,<43.3536,25,-28.7425>,<43.7407,24.4081,-28.75>}
 }
-object{Plot2 material{Pcolor2}}
+object{Plot1 scale<1,1,2>  material{Pcolor1}}
+object{Plot2 scale<1,1,2> material{Pcolor2}}

Licensing

Creative Commons CC-Zero 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.

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20 March 2010

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Date/TimeThumbnailDimensionsUserComment
current17:35, 20 March 2010Thumbnail for version as of 17:35, 20 March 20101,200 × 800 (228 KB)Ilya Voyager{{Information |Description={{en|1=Smale — Williams solenoid map (original solid torus and its first image)}} {{ru|1=Отображение соленоида Смейла — Вильямса: �
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