self-similarity
noun
                                                                                                                            
                                                            self-sim·i·lar·i·ty
                    
                                                                                                              
                                                                                                                                  ˌself-ˌsi-mə-ˈler-ə-tē  
                                                                                                                              
            -ˈla-rə-
                                                      
                                                          
                                
              
          
                                                      : the quality or state of having an appearance that is invariant upon being scaled larger or smaller                                      
              
                             
magnify the fractal and you can see the self-similarity of its edge
                         
                
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  Merriam-Webster unabridged




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