File:Nimber products of powers of two; tensor.png

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".

#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)  

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

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