Conjugacy Class 4 of Group S4

Cable 1:[2, 4, 1, 3].
Disjoint cycle form: [[1, 2, 4, 3]].
Cable 2:[3, 4, 2, 1].
Disjoint cycle form: [[1, 3, 2, 4]].
  • Example 4_1
    CC2_CLASS = 4, example 1:
    	Strut: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
    	Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
    	Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
    Smallest equilibrium strut stress w1_min is 1 occurring in representation dim2.
    POSSIBLE TIE involving representations: [dim2, dim3a]
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    
    
    
  • Example 4_2
    CC2_CLASS = 4, example 2:
    	Strut: [2, 1, 3, 4]. 	 Disjoint cycle form:  [[1, 2]].
    	Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
    	Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
    Smallest equilibrium strut stress w1_min is 1 occurring in representation dim3a.
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.
    
    
  • Example 4_3
    CC2_CLASS = 4, example 3:
    	Strut: [2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 2, 4]].
    	Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
    	Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
    Smallest equilibrium strut stress w1_min is .666666 occurring in representation dim2.
    POSSIBLE TIE involving representations: [dim2, dim3a]
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    
    
    
  • Example 4_4
    CC2_CLASS = 4, example 4:
    	Strut: [2, 3, 4, 1]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
    	Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
    	Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
    Smallest equilibrium strut stress w1_min is .5 occurring in representation dim2.
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    
    
    
  • Example 4_5
    CC2_CLASS = 4, example 5:
    	Strut: [3, 4, 1, 2]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
    	Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
    	Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
    Smallest equilibrium strut stress w1_min is 1 occurring in representation dim3a.
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.
    
    
  • Example 4_6
    CC2_CLASS = 4, example 6:
    	Strut: [2, 1, 4, 3]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    	Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
    	Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
    Smallest equilibrium strut stress w1_min is 1 occurring in representation dim3a.
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.