Regular icosahedron surface tours
by Jan Kristian Haugland

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Other polyhedra:   Tetrahedron   Cube   Octahedron

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.

ToursIllustrationsCommentsAdditional illustrations
0 No crossing points

Same as Cube-0
and Octahedron-0
3Contains double edges

Same as Cube-3
and Octahedron-3
4 Contains double edges

Same as Cube-4
and Octahedron-4
8Same as Cube-8
9 Same as Cube-9
and Octahedron-9C
12 Contains double edges

Same as Cube-12B
and Octahedron-12B
15
16Same as Cube-16
18 Same as Cube-18
and Octahedron-18A
20Same as Cube-20
24A
24BSame as Cube-24B
24C Contains double edges

Same as Cube-24C
and Octahedron-24B
25
28
30 Same as Cube-30
and Octahedron-30C
36Same as Cube-36B
40A
40B Contains double edges

Same as Cube-40B
and Octahedron-40B
44Same as Cube-44B
45ASame as Cube-45B
45B Same as Cube-45A
and Octahedron-45C
48A
48B
56ASame as Cube-56C
56B
60 Contains double edges

Same as Cube-60B
and Octahedron-60C
63A3D printed model for
sale at Shapeways
63BSame as Cube-63C
63C Same as Cube-63B
and Octahedron-63C
64
68ASame as Cube-68A
68BSame 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
96BSame as Cube-96D
96C
100A
100B
100C
105
108A Same as Cube-108A
and Octahedron-108C
108BSame as Cube-108B
108CSame as Cube-108D
108D
110
112A
112B Contains double edges

Same as Cube-112B
and Octahedron-112B
114
120A
120B
120C
124A
124B
128Same as Cube-128D
129
135ASame as Cube-135C
135B Same as Cube-135A
and Octahedron-135G
135CSame as Cube-135B
136A
136B
144A
144BSame as Cube-144C
144C Contains double edges

Same as Cube-144D
and Octahedron-144E
145
150
162
164ASame as Cube-164A
164BSame as Cube-164B
165A
165B
165CSame 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
184Same as Cube-184C
185
192A
192B
195A
195B
195C
195D
195E
198ASame as Cube-198B
198B Same as Cube-198A
and Octahedron-198G
200Same as Cube-200D