Statements (34)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:application | 
                                    
                                        
                                            
                                            chemistry
                                        
                                        
                                         materials science solid state physics  | 
                            
| gptkbp:defines | 
                                    
                                        
                                            
                                            groups of isometries of Euclidean space with discrete and periodic action
                                        
                                        
                                         | 
                            
| gptkbp:dimensions | 
                                    
                                        
                                            
                                            2
                                        
                                        
                                         3  | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:mathematics
                                        
                                         crystallography  | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:crystal
                                        
                                         | 
                            
| gptkbp:number_of_2D_types | 
                                    
                                        
                                            
                                            17
                                        
                                        
                                         | 
                            
| gptkbp:number_of_3D_types | 
                                    
                                        
                                            
                                            230
                                        
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:frescoes
                                        
                                         gptkb:Bravais_lattice gptkb:symmetry gptkb:frieze_group rotational symmetry reflection symmetry space groups point groups glide reflection lattice translation screw axis  | 
                            
| gptkbp:studiedBy | 
                                    
                                        
                                            gptkb:Arthur_Moritz_Schoenflies
                                        
                                         gptkb:Evgraf_Fedorov gptkb:Leonhard_Sohncke  | 
                            
| gptkbp:subclassOf | 
                                    
                                        
                                            gptkb:symmetry
                                        
                                         gptkb:discrete_group  | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            X-ray crystallography
                                        
                                        
                                         mineralogy classification of crystals  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Bieberbach_theorem
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            6
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            crystallographic groups
                                        
                                        
                                         |