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File:Venn 0000 0001 0001 0110.png

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Summary

Description
The 15 cells of these Venn diagrams (except the surrounding) correspond to the vertices of the tesseracts tetrahedral shadow.

This is a 4 sphere Venn diagram, representing a 4-ary Boolean function.


The spheres stand for sets or statements A, B, C, D.


Examples:


        
        


        
        


        
        


The POV-Ray source is given for 0000 0001 0001 0110 and 1111 1111 0000 0000.
Date
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions
RGBY

This image has been assessed using the Quality image guidelines and is considered a Quality image.

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This file was created with POV-Ray, and uploaded with Commonist.

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution
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You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
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  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
You may select the license of your choice.


POV-Ray source

#include "colors.inc"    
        
        
global_settings{max_trace_level 20}
        
                                                     
background {color White}                                                      
                                                       
                                                       
camera { angle 3.2
        location <1000,1000,1000>
        look_at  <-0,0.2,0>  
        up    < 0, 1, 0>
        right   < 1, 0, 0>
       }
                                        
light_source { <100,90,120>
               color Gray
               shadowless
             }   
             
light_source { <50,70,90>
               color Gray
               shadowless
             }   

      
/////////////////////////////////////////////////////////////////////////////

#declare ss0 = sphere{< 10, 10, 10>,24}    ///small spheres
#declare ss1 = sphere{< 10,-10,-10>,24}          
#declare ss2 = sphere{<-10,-10, 10>,24}    
#declare ss3 = sphere{<-10, 10,-10>,24} 

#declare bs0 = sphere{< 10, 10, 10>,26}    ///big spheres
#declare bs1 = sphere{< 10,-10,-10>,26}          
#declare bs2 = sphere{<-10,-10, 10>,26}    
#declare bs3 = sphere{<-10, 10,-10>,26}     
/////////////////////////////////////////////////////////////////////////////
                
                
                
                
                
                
union {////////////////BIG UNION
         
            

      
#declare digitsum1 =
union
{
///1
difference
{
object{ss0} 
union{ object{bs1} object{bs2} object{bs3} }  
}

///2
difference
{
object{ss1} 
union{ object{bs0} object{bs2} object{bs3} }  
}

///4
difference
{
object{ss2} 
union{ object{bs0} object{bs1} object{bs3} }  
}

///8
difference
{
object{ss3} 
union{ object{bs0} object{bs1} object{bs2} }  
}   
pigment{color rgbt<0.95,0.95,0.95,0.95>} 
//pigment{color Red}  
}
object{digitsum1}

     
         
     
#declare digitsum2 =
union
{    
///3
difference
{
intersection{ object{ss0} object{ss1} }   
union{ object{bs2} object{bs3} }                                         
}   

///5
difference
{
intersection{ object{ss0} object{ss2} }   
union{ object{bs1} object{bs3} }                                         
}   

///6
difference
{
intersection{ object{ss1} object{ss2} }   
union{ object{bs0} object{bs3} }                                         
}     

///9
difference
{
intersection{ object{ss0} object{ss3} }   
union{ object{bs1} object{bs2} }                                         
}    

///10
difference
{
intersection{ object{ss1} object{ss3} }   
union{ object{bs0} object{bs2} }                                         
}
   
///12
difference
{
intersection{ object{ss2} object{ss3} }   
union{ object{bs0} object{bs1} }                                        
}  
pigment{color rgbt<0.9,0.9,0.9,0.9>} 
//pigment{color Red}                   
}                  
object{digitsum2}                  
                     
                     
          
           
#declare digitsum3 =
union
{
///7
difference
{    
intersection{ object{ss0} object{ss1} object{ss2} }  
object{bs3} 
}  
       
///11
difference
{    
intersection{ object{ss0} object{ss1} object{ss3} }  
object{bs2} 
}         
          
///13
difference
{    
intersection{ object{ss0} object{ss2} object{ss3} }  
object{bs1} 
}         
  
///14
difference
{    
intersection{ object{ss1} object{ss2} object{ss3} }  
object{bs0} 
}  
//pigment{color rgbt<0.85,0.85,0.85,0.85>} 
pigment{color Red} 
}          
object{digitsum3}  


///15
intersection{ object{ss0} object{ss1} object{ss2} object{ss3} 
pigment{color rgbt<0.8,0.8,0.8,0.8>}
//pigment{color Red}     
}      
         
         
         


rotate -33*z  
rotate 35*x    
rotate 5*y            
rotate <0,clock*5,0>
}/////////////////BIG UNION

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File history

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Date/TimeThumbnailDimensionsUserComment
current19:03, 4 August 2016Thumbnail for version as of 19:03, 4 August 20161,024 × 1,024 (177 KB)Watchduckundo vandalism by User:Sahstar
00:00, 24 June 2016Thumbnail for version as of 00:00, 24 June 20161,024 × 1,024 (169 KB)SteinsplitterBotBot: Image rotated by 270°
14:01, 2 February 2011Thumbnail for version as of 14:01, 2 February 20111,024 × 1,024 (177 KB)Watchducktransparent background
00:38, 2 February 2011Thumbnail for version as of 00:38, 2 February 20111,000 × 1,000 (115 KB)Watchduck

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