Summary

DescriptionNimber products of powers of two; tensor.png	Binary tensor showing the same information like File:Nimber products of powers of two.svg Vertical and horizontal axes are like in the matrix, the binary numbers are shown in the depth, with the nearer places for the lower exponents.   This image was created with POV-Ray.
Date	2013
Source	Own work
Author	Watchduck You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".

POV-Ray source

#include "colors.inc"    

background {color White}                                                      
 
camera { angle 8
        location <65,45,-150>
        look_at  <7.6, 7.5, 8>  
        up    < 0, 1, 0>
        right   < 1, 0, 0>
       }
              
union
{     
        light_source { <50,30,20>
                       color White
                       shadowless
                     }    
         
         
        light_source { <-1,20,-2>
                       color Gray
                       shadowless
                     }      
                     
        light_source { <-40,-70,-20>
                       color White
                       shadowless
                     } 
translate<10,10,10>                 
}  
                      
// black cube 
difference{
           box {
                < -0.1,-0.1,-0.1>, 
                < 16.1,16.1,16.1>  
                pigment{color Black} 
               }
 
           union{
                 box{
                     < -8,-8,-8>, 
                     < 8,8,8>  
                     pigment{color Black}  
                     scale <1.02,0.995,0.995>
                    } 
                 box{
                     < -8,-8,-8>, 
                     < 8,8,8>  
                     pigment{color Black}  
                     scale <0.995,1.02,0.995>
                    }                     
                 box{
                     < -8,-8,-8>, 
                     < 8,8,8>  
                     pigment{color Black}  
                     scale <0.995,0.995,1.02>
                    } 
                 translate<8,8,8>                 
                }  
             no_reflection 
            }             
     
// red box                 
#declare a = box{ <0.98,15.98,0.98>, <0.02,15.02,0.02> pigment{color Red} };    
        
// puts red boxes        
#macro f(m,n,d)
        object{a translate<n,-m,d>}   
#end

 f(0,0,0)
 f(0,1,1)
 f(0,2,2)
 f(0,3,3)
 f(0,4,4)
 f(0,5,5)
 f(0,6,6)
 f(0,7,7)
 f(0,8,8)
 f(0,9,9)
 f(0,10,10)
 f(0,11,11)
 f(0,12,12)
 f(0,13,13)
 f(0,14,14)
 f(0,15,15)

 f(1,0,1)
 f(1,1,0) f(1,1,1)
 f(1,2,3)
 f(1,3,2) f(1,3,3)
 f(1,4,5)
 f(1,5,4) f(1,5,5)
 f(1,6,7)
 f(1,7,6) f(1,7,7)
 f(1,8,9)
 f(1,9,8) f(1,9,9)
 f(1,10,11)
 f(1,11,10) f(1,11,11)
 f(1,12,13)
 f(1,13,12) f(1,13,13)
 f(1,14,15)
 f(1,15,14) f(1,15,15)

 f(2,0,2)
 f(2,1,3)
 f(2,2,1) f(2,2,2)
 f(2,3,0) f(2,3,1) f(2,3,3)
 f(2,4,6)
 f(2,5,7)
 f(2,6,5) f(2,6,6)
 f(2,7,4) f(2,7,5) f(2,7,7)
 f(2,8,10)
 f(2,9,11)
 f(2,10,9) f(2,10,10)
 f(2,11,8) f(2,11,9) f(2,11,11)
 f(2,12,14)
 f(2,13,15)
 f(2,14,13) f(2,14,14)
 f(2,15,12) f(2,15,13) f(2,15,15)

 f(3,0,3)
 f(3,1,2) f(3,1,3)
 f(3,2,0) f(3,2,1) f(3,2,3)
 f(3,3,0) f(3,3,2) f(3,3,3)
 f(3,4,7)
 f(3,5,6) f(3,5,7)
 f(3,6,4) f(3,6,5) f(3,6,7)
 f(3,7,4) f(3,7,6) f(3,7,7)
 f(3,8,11)
 f(3,9,10) f(3,9,11)
 f(3,10,8) f(3,10,9) f(3,10,11)
 f(3,11,8) f(3,11,10) f(3,11,11)
 f(3,12,15)
 f(3,13,14) f(3,13,15)
 f(3,14,12) f(3,14,13) f(3,14,15)
 f(3,15,12) f(3,15,14) f(3,15,15)

 f(4,0,4)
 f(4,1,5)
 f(4,2,6)
 f(4,3,7)
 f(4,4,3) f(4,4,4)
 f(4,5,2) f(4,5,3) f(4,5,5)
 f(4,6,0) f(4,6,1) f(4,6,3) f(4,6,6)
 f(4,7,0) f(4,7,2) f(4,7,3) f(4,7,7)
 f(4,8,12)
 f(4,9,13)
 f(4,10,14)
 f(4,11,15)
 f(4,12,11) f(4,12,12)
 f(4,13,10) f(4,13,11) f(4,13,13)
 f(4,14,8) f(4,14,9) f(4,14,11) f(4,14,14)
 f(4,15,8) f(4,15,10) f(4,15,11) f(4,15,15)

 f(5,0,5)
 f(5,1,4) f(5,1,5)
 f(5,2,7)
 f(5,3,6) f(5,3,7)
 f(5,4,2) f(5,4,3) f(5,4,5)
 f(5,5,2) f(5,5,4) f(5,5,5)
 f(5,6,0) f(5,6,2) f(5,6,3) f(5,6,7)
 f(5,7,1) f(5,7,2) f(5,7,6) f(5,7,7)
 f(5,8,13)
 f(5,9,12) f(5,9,13)
 f(5,10,15)
 f(5,11,14) f(5,11,15)
 f(5,12,10) f(5,12,11) f(5,12,13)
 f(5,13,10) f(5,13,12) f(5,13,13)
 f(5,14,8) f(5,14,10) f(5,14,11) f(5,14,15)
 f(5,15,9) f(5,15,10) f(5,15,14) f(5,15,15)

 f(6,0,6)
 f(6,1,7)
 f(6,2,5) f(6,2,6)
 f(6,3,4) f(6,3,5) f(6,3,7)
 f(6,4,0) f(6,4,1) f(6,4,3) f(6,4,6)
 f(6,5,0) f(6,5,2) f(6,5,3) f(6,5,7)
 f(6,6,0) f(6,6,1) f(6,6,2) f(6,6,5) f(6,6,6)
 f(6,7,0) f(6,7,3) f(6,7,4) f(6,7,5) f(6,7,7)
 f(6,8,14)
 f(6,9,15)
 f(6,10,13) f(6,10,14)
 f(6,11,12) f(6,11,13) f(6,11,15)
 f(6,12,8) f(6,12,9) f(6,12,11) f(6,12,14)
 f(6,13,8) f(6,13,10) f(6,13,11) f(6,13,15)
 f(6,14,8) f(6,14,9) f(6,14,10) f(6,14,13) f(6,14,14)
 f(6,15,8) f(6,15,11) f(6,15,12) f(6,15,13) f(6,15,15)

 f(7,0,7)
 f(7,1,6) f(7,1,7)
 f(7,2,4) f(7,2,5) f(7,2,7)
 f(7,3,4) f(7,3,6) f(7,3,7)
 f(7,4,0) f(7,4,2) f(7,4,3) f(7,4,7)
 f(7,5,1) f(7,5,2) f(7,5,6) f(7,5,7)
 f(7,6,0) f(7,6,3) f(7,6,4) f(7,6,5) f(7,6,7)
 f(7,7,1) f(7,7,2) f(7,7,3) f(7,7,4) f(7,7,6) f(7,7,7)
 f(7,8,15)
 f(7,9,14) f(7,9,15)
 f(7,10,12) f(7,10,13) f(7,10,15)
 f(7,11,12) f(7,11,14) f(7,11,15)
 f(7,12,8) f(7,12,10) f(7,12,11) f(7,12,15)
 f(7,13,9) f(7,13,10) f(7,13,14) f(7,13,15)
 f(7,14,8) f(7,14,11) f(7,14,12) f(7,14,13) f(7,14,15)
 f(7,15,9) f(7,15,10) f(7,15,11) f(7,15,12) f(7,15,14) f(7,15,15)

 f(8,0,8)
 f(8,1,9)
 f(8,2,10)
 f(8,3,11)
 f(8,4,12)
 f(8,5,13)
 f(8,6,14)
 f(8,7,15)
 f(8,8,7) f(8,8,8)
 f(8,9,6) f(8,9,7) f(8,9,9)
 f(8,10,4) f(8,10,5) f(8,10,7) f(8,10,10)
 f(8,11,4) f(8,11,6) f(8,11,7) f(8,11,11)
 f(8,12,0) f(8,12,2) f(8,12,3) f(8,12,7) f(8,12,12)
 f(8,13,1) f(8,13,2) f(8,13,6) f(8,13,7) f(8,13,13)
 f(8,14,0) f(8,14,3) f(8,14,4) f(8,14,5) f(8,14,7) f(8,14,14)
 f(8,15,1) f(8,15,2) f(8,15,3) f(8,15,4) f(8,15,6) f(8,15,7) f(8,15,15)

 f(9,0,9)
 f(9,1,8) f(9,1,9)
 f(9,2,11)
 f(9,3,10) f(9,3,11)
 f(9,4,13)
 f(9,5,12) f(9,5,13)
 f(9,6,15)
 f(9,7,14) f(9,7,15)
 f(9,8,6) f(9,8,7) f(9,8,9)
 f(9,9,6) f(9,9,8) f(9,9,9)
 f(9,10,4) f(9,10,6) f(9,10,7) f(9,10,11)
 f(9,11,5) f(9,11,6) f(9,11,10) f(9,11,11)
 f(9,12,1) f(9,12,2) f(9,12,6) f(9,12,7) f(9,12,13)
 f(9,13,0) f(9,13,1) f(9,13,3) f(9,13,6) f(9,13,12) f(9,13,13)
 f(9,14,1) f(9,14,2) f(9,14,3) f(9,14,4) f(9,14,6) f(9,14,7) f(9,14,15)
 f(9,15,0) f(9,15,1) f(9,15,2) f(9,15,5) f(9,15,6) f(9,15,14) f(9,15,15)

 f(10,0,10)
 f(10,1,11)
 f(10,2,9) f(10,2,10)
 f(10,3,8) f(10,3,9) f(10,3,11)
 f(10,4,14)
 f(10,5,15)
 f(10,6,13) f(10,6,14)
 f(10,7,12) f(10,7,13) f(10,7,15)
 f(10,8,4) f(10,8,5) f(10,8,7) f(10,8,10)
 f(10,9,4) f(10,9,6) f(10,9,7) f(10,9,11)
 f(10,10,4) f(10,10,5) f(10,10,6) f(10,10,9) f(10,10,10)
 f(10,11,4) f(10,11,7) f(10,11,8) f(10,11,9) f(10,11,11)
 f(10,12,0) f(10,12,3) f(10,12,4) f(10,12,5) f(10,12,7) f(10,12,14)
 f(10,13,1) f(10,13,2) f(10,13,3) f(10,13,4) f(10,13,6) f(10,13,7) f(10,13,15)
 f(10,14,0) f(10,14,1) f(10,14,2) f(10,14,3) f(10,14,4) f(10,14,5) f(10,14,6) f(10,14,13) f(10,14,14)
 f(10,15,0) f(10,15,2) f(10,15,4) f(10,15,7) f(10,15,12) f(10,15,13) f(10,15,15)

 f(11,0,11)
 f(11,1,10) f(11,1,11)
 f(11,2,8) f(11,2,9) f(11,2,11)
 f(11,3,8) f(11,3,10) f(11,3,11)
 f(11,4,15)
 f(11,5,14) f(11,5,15)
 f(11,6,12) f(11,6,13) f(11,6,15)
 f(11,7,12) f(11,7,14) f(11,7,15)
 f(11,8,4) f(11,8,6) f(11,8,7) f(11,8,11)
 f(11,9,5) f(11,9,6) f(11,9,10) f(11,9,11)
 f(11,10,4) f(11,10,7) f(11,10,8) f(11,10,9) f(11,10,11)
 f(11,11,5) f(11,11,6) f(11,11,7) f(11,11,8) f(11,11,10) f(11,11,11)
 f(11,12,1) f(11,12,2) f(11,12,3) f(11,12,4) f(11,12,6) f(11,12,7) f(11,12,15)
 f(11,13,0) f(11,13,1) f(11,13,2) f(11,13,5) f(11,13,6) f(11,13,14) f(11,13,15)
 f(11,14,0) f(11,14,2) f(11,14,4) f(11,14,7) f(11,14,12) f(11,14,13) f(11,14,15)
 f(11,15,1) f(11,15,3) f(11,15,5) f(11,15,6) f(11,15,7) f(11,15,12) f(11,15,14) f(11,15,15)

 f(12,0,12)
 f(12,1,13)
 f(12,2,14)
 f(12,3,15)
 f(12,4,11) f(12,4,12)
 f(12,5,10) f(12,5,11) f(12,5,13)
 f(12,6,8) f(12,6,9) f(12,6,11) f(12,6,14)
 f(12,7,8) f(12,7,10) f(12,7,11) f(12,7,15)
 f(12,8,0) f(12,8,2) f(12,8,3) f(12,8,7) f(12,8,12)
 f(12,9,1) f(12,9,2) f(12,9,6) f(12,9,7) f(12,9,13)
 f(12,10,0) f(12,10,3) f(12,10,4) f(12,10,5) f(12,10,7) f(12,10,14)
 f(12,11,1) f(12,11,2) f(12,11,3) f(12,11,4) f(12,11,6) f(12,11,7) f(12,11,15)
 f(12,12,0) f(12,12,2) f(12,12,3) f(12,12,4) f(12,12,6) f(12,12,11) f(12,12,12)
 f(12,13,1) f(12,13,2) f(12,13,5) f(12,13,7) f(12,13,10) f(12,13,11) f(12,13,13)
 f(12,14,0) f(12,14,3) f(12,14,5) f(12,14,8) f(12,14,9) f(12,14,11) f(12,14,14)
 f(12,15,1) f(12,15,2) f(12,15,3) f(12,15,4) f(12,15,5) f(12,15,8) f(12,15,10) f(12,15,11) f(12,15,15)

 f(13,0,13)
 f(13,1,12) f(13,1,13)
 f(13,2,15)
 f(13,3,14) f(13,3,15)
 f(13,4,10) f(13,4,11) f(13,4,13)
 f(13,5,10) f(13,5,12) f(13,5,13)
 f(13,6,8) f(13,6,10) f(13,6,11) f(13,6,15)
 f(13,7,9) f(13,7,10) f(13,7,14) f(13,7,15)
 f(13,8,1) f(13,8,2) f(13,8,6) f(13,8,7) f(13,8,13)
 f(13,9,0) f(13,9,1) f(13,9,3) f(13,9,6) f(13,9,12) f(13,9,13)
 f(13,10,1) f(13,10,2) f(13,10,3) f(13,10,4) f(13,10,6) f(13,10,7) f(13,10,15)
 f(13,11,0) f(13,11,1) f(13,11,2) f(13,11,5) f(13,11,6) f(13,11,14) f(13,11,15)
 f(13,12,1) f(13,12,2) f(13,12,5) f(13,12,7) f(13,12,10) f(13,12,11) f(13,12,13)
 f(13,13,0) f(13,13,1) f(13,13,3) f(13,13,4) f(13,13,5) f(13,13,6) f(13,13,7) f(13,13,10) f(13,13,12) f(13,13,13)
 f(13,14,1) f(13,14,2) f(13,14,3) f(13,14,4) f(13,14,5) f(13,14,8) f(13,14,10) f(13,14,11) f(13,14,15)
 f(13,15,0) f(13,15,1) f(13,15,2) f(13,15,4) f(13,15,9) f(13,15,10) f(13,15,14) f(13,15,15)

 f(14,0,14)
 f(14,1,15)
 f(14,2,13) f(14,2,14)
 f(14,3,12) f(14,3,13) f(14,3,15)
 f(14,4,8) f(14,4,9) f(14,4,11) f(14,4,14)
 f(14,5,8) f(14,5,10) f(14,5,11) f(14,5,15)
 f(14,6,8) f(14,6,9) f(14,6,10) f(14,6,13) f(14,6,14)
 f(14,7,8) f(14,7,11) f(14,7,12) f(14,7,13) f(14,7,15)
 f(14,8,0) f(14,8,3) f(14,8,4) f(14,8,5) f(14,8,7) f(14,8,14)
 f(14,9,1) f(14,9,2) f(14,9,3) f(14,9,4) f(14,9,6) f(14,9,7) f(14,9,15)
 f(14,10,0) f(14,10,1) f(14,10,2) f(14,10,3) f(14,10,4) f(14,10,5) f(14,10,6) f(14,10,13) f(14,10,14)
 f(14,11,0) f(14,11,2) f(14,11,4) f(14,11,7) f(14,11,12) f(14,11,13) f(14,11,15)
 f(14,12,0) f(14,12,3) f(14,12,5) f(14,12,8) f(14,12,9) f(14,12,11) f(14,12,14)
 f(14,13,1) f(14,13,2) f(14,13,3) f(14,13,4) f(14,13,5) f(14,13,8) f(14,13,10) f(14,13,11) f(14,13,15)
 f(14,14,0) f(14,14,1) f(14,14,2) f(14,14,3) f(14,14,7) f(14,14,8) f(14,14,9) f(14,14,10) f(14,14,13) f(14,14,14)
 f(14,15,0) f(14,15,2) f(14,15,6) f(14,15,7) f(14,15,8) f(14,15,11) f(14,15,12) f(14,15,13) f(14,15,15)

 f(15,0,15)
 f(15,1,14) f(15,1,15)
 f(15,2,12) f(15,2,13) f(15,2,15)
 f(15,3,12) f(15,3,14) f(15,3,15)
 f(15,4,8) f(15,4,10) f(15,4,11) f(15,4,15)
 f(15,5,9) f(15,5,10) f(15,5,14) f(15,5,15)
 f(15,6,8) f(15,6,11) f(15,6,12) f(15,6,13) f(15,6,15)
 f(15,7,9) f(15,7,10) f(15,7,11) f(15,7,12) f(15,7,14) f(15,7,15)
 f(15,8,1) f(15,8,2) f(15,8,3) f(15,8,4) f(15,8,6) f(15,8,7) f(15,8,15)
 f(15,9,0) f(15,9,1) f(15,9,2) f(15,9,5) f(15,9,6) f(15,9,14) f(15,9,15)
 f(15,10,0) f(15,10,2) f(15,10,4) f(15,10,7) f(15,10,12) f(15,10,13) f(15,10,15)
 f(15,11,1) f(15,11,3) f(15,11,5) f(15,11,6) f(15,11,7) f(15,11,12) f(15,11,14) f(15,11,15)
 f(15,12,1) f(15,12,2) f(15,12,3) f(15,12,4) f(15,12,5) f(15,12,8) f(15,12,10) f(15,12,11) f(15,12,15)
 f(15,13,0) f(15,13,1) f(15,13,2) f(15,13,4) f(15,13,9) f(15,13,10) f(15,13,14) f(15,13,15)
 f(15,14,0) f(15,14,2) f(15,14,6) f(15,14,7) f(15,14,8) f(15,14,11) f(15,14,12) f(15,14,13) f(15,14,15)
 f(15,15,1) f(15,15,3) f(15,15,6) f(15,15,9) f(15,15,10) f(15,15,11) f(15,15,12) f(15,15,14) f(15,15,15)  

Licensing

I, the copyright holder of this work, hereby publish it under the following license:

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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. http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse