s-net: sqc10869



			    	
		

		

			
				
				
				
				
			
			
				
					Systre crystallographic geometry file (.cgd) 
			
		

	




	

	
Links to this net in other databases

	

		

			topcryst
		

	

		



 

Topological data




	
Vertices per primitive translational unit 20 

	
Edges per primitive translational unit 48 

	
Transitivity (vertex,edge)(6,7)

	
Vertex degrees {12,4,4,4,12,4} 

	
Vertex coordination sequence  [(12, 12, 18, 84, 164, 276, 504, 786, 1110, 1442), (4, 14, 32, 80, 214, 378, 599, 885, 1212, 1590), (4, 14, 31, 73, 207, 350, 574, 845, 1167, 1544), (4, 28, 68, 186, 328, 568, 802, 1134, 1480, 1894), (12, 36, 132, 240, 446, 650, 954, 1266, 1656, 2088), (4, 28, 68, 186, 328, 562, 808, 1126, 1488, 1884)] 

	
Wells’ vertex symbol [3^12.4^12.5^12.6^12.7^12.8^6, 3^2.4.5^2.6, 3^2.4.5^2.6, 5^4.6.8, 5^12.6^24.8^24.10^6, 5^4.6.8] 

	
Systre key (3, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 3, 0, 0, 0, 1, 3, 0, 1, 1, 1, 4, 0, 0, 0, 1, 4, 1, 0, 1, 1, 5, 0, 0, 0, 1, 5, 0, 0, 1, 1, 6, 0, 0, 0, 1, 6, 0, 1, 0, 1, 7, 0, 0, 0, 1, 7, 1, 0, 0, 2, 8, 0, 0, 0, 2, 9, 0, 0, 0, 3, 10, 0, 0, 0, 3, 11, 0, 0, 0, 4, 12, 0, 0, 0, 4, 13, 0, 0, 0, 5, 14, 0, 0, 0, 5, 15, 0, 0, 0, 6, 16, 0, 0, 0, 6, 17, 0, 0, 0, 7, 18, 0, 0, 0, 7, 19, 0, 0, 0, 8, 12, 0, 0, 0, 8, 17, -1, 0, -1, 8, 20, 0, 0, 0, 9, 13, 0, -1, 0, 9, 16, 0, 0, 0, 9, 20, 0, 0, 1, 10, 14, 0, 0, 0, 10, 16, 0, 0, -1, 10, 20, 0, 0, 0, 11, 15, 0, -1, 0, 11, 17, 0, 0, 0, 11, 20, 1, 0, 1, 12, 19, 0, 0, -1, 12, 20, 0, 0, 0, 13, 18, 0, 0, 0, 13, 20, 0, 1, 1, 14, 19, 0, 0, -1, 14, 20, 0, 0, 0, 15, 18, 1, 0, 0, 15, 20, 1, 1, 1, 16, 20, 0, 0, 1, 17, 20, 1, 0, 1, 18, 20, 0, 1, 1, 19, 20, 0, 0, 1) 




 

Geometric data



Systre equilibrium placement (barycentric embedding) maximising unit cell volume




	
 Spacegroup: R-3m 


	
 Parameters:  
		

			
 a   b   c   alpha   beta   gamma 
	  
			
 
			 3.53954 
			 3.53954  
			 8.23179 
			 90.0  
			 90.0  
			 120.0 
			
	  
		

	


	
 Vertex positions:
		

			

				 X-pos 
				 Y-pos 
				 Z-pos 
			


				
 
						 0  
						 0  
						 0  
				
	  
				
 
						 0  
						 0.19231  
						 0  
				
	  
				
 
						 0.17949  
						 0.08974  
						 0.04167  
				
	  
				
 
						 0  
						 0.5  
						 0.5  
				
	  
				
 
						 0  
						 0  
						 0.5  
				
	  
				
 
						 0  
						 0.5  
						 0  
				
	  
		

	

	
Edge end points: 
		

		
		
	






Systre coordinates favouring equal edge-lengths




	
 Spacegroup: R-3m 



		
 Parameters:  
		

			
 a   b   c   alpha   beta   gamma 
	  
			
 
			 2.56938 
			 2.56938  
			 4.91123 
			 90.0  
			 90.0  
			 120.0 
			
	  
		

		


		
Vertex positions:
			

				

					 X-pos 
					 Y-pos 
					 Z-pos 
				


					
 
							 0  
							  0  
							  0  
					
	  
					
 
							 0  
							  0.18712  
							  0  
					
	  
					
 
							 0.07875  
							  0.03937  
							  0.3663  
					
	  
					
 
							 0  
							  0.5  
							  0.5  
					
	  
					
 
							 0  
							  0  
							  0.5  
					
	  
					
 
							 0  
							  0.5  
							  0  
					
	  
			

		


		
Edge end points: 
			

			
			
		



	

	 


 

Hyperbolic sources





h-nets with faithful topology




		1 record listed.

	

		

			Image
			h-net name
			Orbifold symbol
			Transitivity (Vert,Edge,Face)
			Vertex Degree
			2D Vertex Symbol
		


		
			

					Net details
					hqc858
				
				*2(12)(12)
				 (4,4,2)
				{4,12,4,12}
				{5.5.3.3}{3.3.3.3.3.3.3.3.3.3.3.... 
			

	


	





h-nets with edge collapse


	
 No items to display.