It is diffeomorphic to a regular torus but not isometric. It can not be analytically embedded (smooth of class Ck, 2 ≤ k ≤ ∞) into Euclidean 3-space. Mapping it into 3-space requires one to stretch it, in which case it looks like a regular torus.
(Since the complete graph 
  
    
      
        
          
            
              K
              
                7
              
            
          
        
      
    
    {\displaystyle {\mathsf {K_{7}}}}
   can be embedded on the torus, and 
  
    
      
        χ
        (
        
          
            
              K
              
                7
              
            
          
        
        )
        =
        7
      
    
    {\displaystyle \chi ({\mathsf {K_{7}}})=7}
  , the upper bound is tight.)