Serves4
                    
                
                
                    
                        
                            - Active time:30 min
 
                        
                            - Start to finish:35 min
 
                        
                    
                
             
            
            
                
                
                
    
      
          
          
          
              
              
              
          
          
          
          
          
              
              
              July 2008
            
          
          
      
  
                
                
            
            
            
                Some Australians add grilled onions to this burger—feel free to make it your own. Learn the story behind this dish in our column, The Recipe. 
            
            
            
            
            
                
                    
                    
                    
                        
                            
                            
                            
                                
                                    
                                        - 
                                            1/4
                                            cup
                                            ketchup
                                            
                                        
 
                                    
                                        - 
                                            1/4
                                            cup
                                            mayonnaise
                                            
                                        
 
                                    
                                        - 
                                            1
                                            teaspoon
                                            Asian chile paste such as sambal oelek
                                            
                                        
 
                                    
                                        - 
                                            1 1/4
                                            lb
                                            ground beef chuck
                                            
                                        
 
                                    
                                        - 
                                            4
                                            
                                            kaiser rolls, split
                                            
                                        
 
                                    
                                        - 
                                            4
                                            
                                            pineapple rings
                                            
                                        
 
                                    
                                        - 
                                            1
                                            tablespoon
                                            vegetable oil, divided
                                            
                                        
 
                                    
                                        - 
                                            4
                                            
                                            large eggs
                                            
                                        
 
                                    
                                        - 
                                            3/4
                                            cup
                                            drained sliced pickled beets
                                            
                                        
 
                                    
                                
                            
                         
                    
                 
            
            
            
            
            
                
                    
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Accompaniments:
                            
                            lettuce; tomato slices
                         
                    
                
            
            
            
            
                
                    
                    
                    
                        
                            
                                
                                
                                
                                    
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Prepare grill for direct-heat cooking over medium-hot charcoal (medium heat for gas); see “
Grilling Procedure.”
 
                                         
                                    
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Combine ketchup, mayonnaise, and chile paste.
                                         
                                    
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Mix beef with 1 tsp salt and 1/2 tsp pepper, then form into 4 (4 1/4-inch-diameter) patties.
                                         
                                    
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Lightly toast rolls on grill.
                                         
                                    
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Pat pineapple dry and brush with 1/2 Tbsp oil.
                                         
                                    
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Oil grill rack, then grill pineapple and burgers, covered only if using a gas grill, turning once, until pineapple is tender and caramelized and burgers are medium-rare, about 4 minutes total.
                                         
                                    
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Heat remaining 1/2 Tbsp oil in a large nonstick skillet over medium-high heat until hot, then fry eggs.
                                         
                                    
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Spread chile mayonnaise on rolls, then assemble burgers with pineapple, beets, eggs, lettuce, and tomato.
                                         
                                    
                                
                             
                        
                    
                    Cooks’ note: Rolls, pineapple, and burgers can be cooked in a hot oiled large (2-burner) ridged grill pan over medium-high heat.