Conjugacy Class 1 of Group S4

Cable 1:[4, 3, 1, 2].
Disjoint cycle form: [[1, 4, 2, 3]].
Cable 2:[1, 4, 2, 3].
Disjoint cycle form: [[2, 4, 3]].
  • Example 1_1
    CC2_CLASS = 1, example 1:
    	Strut: [4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is .574609 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 1_2
    CC2_CLASS = 1, example 2:
    	Strut: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is 1.25 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 1_3
    CC2_CLASS = 1, example 3:
    	Strut: [2, 1, 3, 4]. 	 Disjoint cycle form:  [[1, 2]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is .666666 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 1_4
    CC2_CLASS = 1, example 4:
    	Strut: [3, 1, 4, 2]. 	 Disjoint cycle form:  [[1, 3, 4, 2]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is .574609 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 1_5
    CC2_CLASS = 1, example 5:
    	Strut: [2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 2, 4]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is .404566 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 1_6
    CC2_CLASS = 1, example 6:
    	Strut: [1, 3, 2, 4]. 	 Disjoint cycle form:  [[2, 3]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is .533947 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 1_7
    CC2_CLASS = 1, example 7:
    	Strut: [2, 1, 4, 3]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is 1 occurring in representation dim3a.
    
    
    
    VERTEX OVERLAP: 2 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.
    
    
  • Example 1_8
    CC2_CLASS = 1, example 8:
    	Strut: [4, 2, 1, 3]. 	 Disjoint cycle form:  [[1, 4, 3]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 1_9
    CC2_CLASS = 1, example 9:
    	Strut: [1, 2, 4, 3]. 	 Disjoint cycle form:  [[3, 4]].
    	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
    	Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
    Smallest equilibrium strut stress w1_min is .5 occurring in representation dim3a.