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                                        gptkbp:instanceOf
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:person
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:almaMater
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Ludwig_Maximilian_University_of_Munich
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:author
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Lectures_on_Polytopes
                                        
                                         
                                    
                                        
                                            gptkb:Proofs_from_THE_BOOK
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:awardReceived
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:European_Mathematical_Society_Prize
                                        
                                         
                                    
                                        
                                            gptkb:Chauvenet_Prize
                                        
                                         
                                    
                                        
                                            gptkb:Leibniz_Prize
                                        
                                         
                                    
                                        
                                            gptkb:Communicator_Award
                                        
                                         
                                    
                                        
                                            gptkb:Gottfried_Wilhelm_Leibniz_Prize
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:birthDate
                                    
                                 | 
                                
                                    
                                        
                                            
                                            1963-05-19
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:birthPlace
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Munich
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:coauthor
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Martin_Aigner
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:doctoralAdvisor
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Anders_Björner
                                        
                                         
                                    
                                        
                                            gptkb:Martin_Grötschel
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:editor
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Proofs_from_THE_BOOK
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:employer
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Free_University_of_Berlin
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:field
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:combinatorics
                                        
                                         
                                    
                                        
                                            gptkb:mathematics
                                        
                                         
                                    
                                        
                                            gptkb:topology
                                        
                                         
                                    
                                        
                                            
                                            discrete geometry
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:knownFor
                                    
                                 | 
                                
                                    
                                        
                                            
                                            proof of the upper bound theorem for polytopes
                                        
                                        
                                         
                                    
                                        
                                            
                                            work on polytopes
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:memberOf
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:German_Academy_of_Sciences_Leopoldina
                                        
                                         
                                    
                                        
                                            gptkb:Berlin-Brandenburg_Academy_of_Sciences_and_Humanities
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:nationality
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:German
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:occupation
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:mathematician
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:positionHeld
                                    
                                 | 
                                
                                    
                                        
                                            
                                            President of the Free University of Berlin
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:website
                                    
                                 | 
                                
                                    
                                        
                                            
                                            https://www.mi.fu-berlin.de/math/groups/discgeom/ziegler/
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:bfsParent
                                    
                                 | 
                                
                                    
                                        
                                            gptkb:Free_University_of_Berlin
                                        
                                         
                                    
                                        
                                            gptkb:Freie_Universität_Berlin
                                        
                                         
                                    
                                        
                                            gptkb:Mathematische_Annalen
                                        
                                         
                                    
                                        
                                            gptkb:Mathematische_Zeitschrift
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        gptkbp:bfsLayer
                                    
                                 | 
                                
                                    
                                        
                                            
                                            5
                                        
                                        
                                         
                                    
                                 | 
                            
                        
                            
                                | 
                                    
                                        https://www.w3.org/2000/01/rdf-schema#label
                                    
                                 | 
                                
                                    
                                        
                                            
                                            Günter M. Ziegler
                                        
                                        
                                         
                                    
                                 |