Regular icosahedron surface tours
by Jan Kristian Haugland

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Other polyhedra:   Tetrahedron   Cube   Octahedron   Dodecahedron

Here is a collection of (presumably) all regular icosahedron surface tours with at most 200 vertices. Each one is given a label according to the number of vertices.
The label links to a text file containing the tour presented like a Gauss code for knots, except that we are not specifying "over" and "under" crossings, and it also contains
the feasible values of a and b. Next to the label, there is one or more illustration(s) (one for each (a, b) pair). These are also clickable for a better view of each one.

Tours		Illustrations		Comments		Additional illustrations
0				No crossing points Same as Cube-0 and Octahedron-0
3				Contains double edges Same as Cube-3 and Octahedron-3
4				Contains double edges Same as Cube-4 and Octahedron-4
8				Same as Cube-8
9				Same as Cube-9 and Octahedron-9C
12				Contains double edges Same as Cube-12B and Octahedron-12B
15
16				Same as Cube-16
18				Same as Cube-18 and Octahedron-18A
20				Same as Cube-20
24A
24B				Same as Cube-24B
24C				Contains double edges Same as Cube-24C and Octahedron-24B
25
28
30				Same as Cube-30 and Octahedron-30C
36				Same as Cube-36B
40A
40B				Contains double edges Same as Cube-40B and Octahedron-40B
44				Same as Cube-44B
45A				Same as Cube-45B
45B				Same as Cube-45A and Octahedron-45C
48A
48B
56A				Same as Cube-56C
56B
60				Contains double edges Same as Cube-60B and Octahedron-60C
63A				3D printed model for sale at Shapeways
63B				Same as Cube-63C
63C				Same as Cube-63B and Octahedron-63C
64
68A				Same as Cube-68A
68B				Same as Cube-68B
70A
70B
76A
76B
80A
80B
80C
81
84A				Same as Cube-84A and Octahedron-84A
84B				Contains double edges Same as Cube-84C and Octahedron-84F
90A
90B
90C
92
96A
96B				Same as Cube-96D
96C
100A
100B
100C
105
108A				Same as Cube-108A and Octahedron-108C
108B				Same as Cube-108B
108C				Same as Cube-108D
108D
110
112A
112B				Contains double edges Same as Cube-112B and Octahedron-112B
114
120A
120B
120C
124A
124B
128				Same as Cube-128D
129
135A				Same as Cube-135C
135B				Same as Cube-135A and Octahedron-135G
135C				Same as Cube-135B
136A
136B
144A
144B				Same as Cube-144C
144C				Contains double edges Same as Cube-144D and Octahedron-144E
145
150
162
164A				Same as Cube-164A
164B				Same as Cube-164B
165A
165B
165C				Same as Cube-165B
165D				Same as Cube-165A and Octahedron-165A
168A
168B
172A
172B
175
176
180				Contains double edges Same as Cube-180 and Octahedron-180E
184				Same as Cube-184C
185
192A
192B
195A
195B
195C
195D
195E
198A				Same as Cube-198B
198B				Same as Cube-198A and Octahedron-198G
200				Same as Cube-200D