Magic cube classes

<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a <a href="/facts/Magic_cube/lKH3ww8m">magic cube</a> of order 
  
    
      
        n
      
    
    {\displaystyle n}
  
 is an 
  
    
      
        n
        ×
        n
        ×
        n
      
    
    {\displaystyle n\times n\times n}
  
 grid of <a href="/facts/Natural_numbers/u65og8JE">natural numbers</a> satisying the property that the numbers in the same row, the same column, the same pillar or the same length-
  
    
      
        n
      
    
    {\displaystyle n}
  
 <a href="/facts/Space_diagonal/aVMddjKB">diagonal</a> add up to the same number. It is a 
  
    
      
        3
      
    
    {\displaystyle 3}
  
-dimensional generalisation of the <a href="/facts/Magic_square/QGQkSKF2">magic square</a>. A magic cube can be assigned to one of six magic cube classes, based on the cube characteristics. A benefit of this classification is that it is consistent for all orders and all dimensions of <a href="/facts/Magic_hypercube/5rDSBaYD">magic hypercubes</a>.
</p>

Magic cube classes open-in-new

Magic cube classes