s-net: sqc1603



			    	
		

		

			
				
				
				
				
			
			
				
					Systre crystallographic geometry file (.cgd) 
			
		

	




	

	
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			topcryst
		

	

		



 

Topological data




	
Vertices per primitive translational unit 4 

	
Edges per primitive translational unit 16 

	
Transitivity (vertex,edge)(2,4)

	
Vertex degrees {4,20} 

	
Vertex coordination sequence  [(4, 54, 176, 344, 560, 824, 1136, 1496, 1904, 2360), (20, 92, 212, 380, 596, 860, 1172, 1532, 1940, 2396)] 

	
Wells’ vertex symbol [3^4.4^2, 3^24.4^72.5^66.6^28] 

	
Systre key (3, 1, 1, -1, -1, 1, 1, 1, -1, 0, 0, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 1, 2, -1, -1, 1, 1, 2, -1, -1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 3, 0, -1, 0, 1, 3, 0, -1, 1, 1, 3, 0, 0, 0, 1, 3, 0, 0, 1, 1, 4, -1, 0, 0, 1, 4, -1, 0, 1, 1, 4, 0, 0, 0, 1, 4, 0, 0, 1) 




 

Geometric data



Systre equilibrium placement (barycentric embedding) maximising unit cell volume




	
 Spacegroup: R-3m 


	
 Parameters:  
		

			
 a   b   c   alpha   beta   gamma 
	  
			
 
			 2.36854 
			 2.36854  
			 1.09644 
			 90.0  
			 90.0  
			 120.0 
			
	  
		

	


	
 Vertex positions:
		

			

				 X-pos 
				 Y-pos 
				 Z-pos 
			


				
 
						 0  
						 0.5  
						 0.5  
				
	  
				
 
						 0  
						 0  
						 0.5  
				
	  
		

	

	
Edge end points: 
		

		
		
	






Systre coordinates favouring equal edge-lengths




	
 Spacegroup: R-3m 



		
 Parameters:  
		

			
 a   b   c   alpha   beta   gamma 
	  
			
 
			 2.06262 
			 2.06262  
			 1.32924 
			 90.0  
			 90.0  
			 120.0 
			
	  
		

		


		
Vertex positions:
			

				

					 X-pos 
					 Y-pos 
					 Z-pos 
				


					
 
							 0  
							  0.5  
							  0.5  
					
	  
					
 
							 0  
							  0  
							  0.5  
					
	  
			

		


		
Edge end points: 
			

			
			
		



	

	 


 

Hyperbolic sources





h-nets with faithful topology




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h-nets with edge collapse