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added 145 characters in body
PhiNotPi
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Perl, 153 chars

for(-21..20){$y=$_/20;for(-60..18){$r=($x=$_/30);$i=$y;for(1..99){$t=$r;$r=$r**2-$i**2+$x;$i=$t*$i*2+$y}if($r**2+$i**2<4){print"X"}else{print$"}}print$/}

Output: I can't post a picture because I am a new user, so I will try posting the text of the output.

                                                            X                  
                                                                           
                                                                           
                                                        XX                     
                                                      XXXXXX                   
                                                     XXXXXXX                   
                                                      XXXXX                    
                                                   X X XX X                    
                                            XX   XXXXXXXXXXXXXXXX              
                                            XXXXXXXXXXXXXXXXXXXXXXXXXX         
                                            XXXXXXXXXXXXXXXXXXXXXXXXXX         
                                          X XXXXXXXXXXXXXXXXXXXXXXXXXX          
                                          XXXXXXXXXXXXXXXXXXXXXXXXXXXXX        
                                       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX      
                                        XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX        
                          X XXXX       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX       
                          XXXXXXXXX    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX       
                        XXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX       
                        XXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX        
                    XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX        
 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX           
                    XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX        
                        XXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX        
                        XXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX       
                          XXXXXXXXX    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX       
                          X XXXX       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX       
                                        XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX        
                                       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX      
                                          XXXXXXXXXXXXXXXXXXXXXXXXXXXXX        
                                         X XXXXXXXXXXXXXXXXXXXXXXXXXX          
                                            XXXXXXXXXXXXXXXXXXXXXXXXXX         
                                            XXXXXXXXXXXXXXXXXXXXXXXXXX         
                                            XX   XXXXXXXXXXXXXXXX              
                                                   X X XX X                    
                                                      XXXXX                    
                                                     XXXXXXX                   
                                                      XXXXXX                   
                                                        XX                     
                                                                           
                                                                           
                                                            X                  
PhiNotPi
  • 29.1k
  • 10
  • 85
  • 157