Course Title:
			
				Geometric Combinatorics
			
		 
		
			Course Description:
			
				Retired August 31, 2007; replaced with MTH G335. Discusses fundamental concepts in geometric combinatorics. Topics may include convex polytopes; Euler’s theorem and Dehn-Sommerville equations; upper-bound theorem; symmetry groups; regular polytopes and tessellations; reflexion groups and Coxeter groups; crystallographic groups and Bieberbach theorems; regular tessellations on surfaces; tilings and aperiodicity; oriented matroids; and other topics at instructor’s discretion.
			
		 
		 
		
			Fall Offering:
			
				None
			
			Lab/Coreq 1:
			
				
			
		 
		
			Spring Offering:
			
				None
			
			Lab/Coreq 2:
			
				
			
		 
		
			Summer Offering:
			
				None
			
			Lab/Coreq Remarks:
			
				
			
		 
		
			Summer 1 Offering:
			
				None
			
			Prerequisite 1:
			
				MTH G112
			
		 
		
			Summer 2 Offering:
			
				None
			
			Prerequisite 2:
			
				
			
		 
		
			Cross-Listed Course 1:
			
				
			
			Prerequisite 3:
			
				
			
		 
		
			Cross-Listed Course 2:
			
				
			
			Prerequisite 4:
			
				
			
		 
		
		
			Cross-Listed Course 3:
			
				
			
			Prerequisite 5:
			
				
			
		 
		
		
			Cross-Listed Course 4:
			
				
			
			Prerequisite Remarks:
			
				
			
		 
		
		
			Cross-Listed Course 5:
			
				
			
			Repeatable:
			
				N
			
		 
		
			Additional Information:
			
				
				Retired course