Integer lattice

<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the n-dimensional integer lattice (or cubic lattice), denoted ⁠
  
    
      
        
          
            Z
          
          
            n
          
        
      
    
    {\displaystyle \mathbb {Z} ^{n}}
  
⁠, is the <a href="/facts/Lattice_(group)/2ls9Iv9N">lattice</a> in the <a href="/facts/Euclidean_space/R2UbzmzM">Euclidean space</a> ⁠
  
    
      
        
          
            R
          
          
            n
          
        
      
    
    {\displaystyle \mathbb {R} ^{n}}
  
⁠ whose lattice points are <a href="/facts/Tuple/BI1HIxL8">n-tuples</a> of <a href="/facts/Integer/PUwwrawx">integers</a>. The two-dimensional integer lattice is also called the <a href="/facts/Square_lattice/mcVtpcQK">square lattice</a>, or grid lattice. ⁠
  
    
      
        
          
            Z
          
          
            n
          
        
      
    
    {\displaystyle \mathbb {Z} ^{n}}
  
⁠ is the simplest example of a <a href="/facts/Root_lattice/TFaEdwMU">root lattice</a>. The integer lattice is an odd <a href="/facts/Unimodular_lattice/6r8l4y81">unimodular lattice</a>.
</p>

Integer lattice open-in-new

Integer lattice