Five-dimensional and every higher dimension: zero regular star-polytopes; uniform star polytopes in dimensions 
  
    
      
        n
      
    
    {\displaystyle n}
   > 
  
    
      
        4
      
    
    {\displaystyle 4}
   are the most symmetric, which mainly originate from stellations of regular 
  
    
      
        n
      
    
    {\displaystyle n}
  -polytopes.Altogether, sixteen (or 16 = 42) regular convex and star polychora are generated from symmetries of four (4) Coxeter Weyl groups and point groups in the fourth dimension: the 
  
    
      
        
          
            A
          
          
            4
          
        
      
    
    {\displaystyle \mathrm {A} _{4}}
   simplex, 
  
    
      
        
          
            B
          
          
            4
          
        
      
    
    {\displaystyle \mathrm {B} _{4}}
   hypercube, 
  
    
      
        
          
            F
          
          
            4
          
        
      
    
    {\displaystyle \mathrm {F} _{4}}
   icositetrachoric, and 
  
    
      
        
          
            H
          
          
            4
          
        
      
    
    {\displaystyle \mathrm {H} _{4}}
   hexacosichoric groups; with the 
  
    
      
        
          
            D
          
          
            4
          
        
      
    
    {\displaystyle \mathrm {D} _{4}}
   demihypercube group generating two alternative constructions.
On the other hand, the square of four 42, equivalently the fourth power of two 24, is sixteen; the only number that has 
  
    
      
        
          a
          
            b
          
        
      
    
    {\displaystyle a^{b}}
   = 
  
    
      
        
          b
          
            a
          
        
      
    
    {\displaystyle b^{a}}
   as a form of factorization.