Regular icosahedron surface tours
by
Jan Kristian Haugland
Back to Regular polyhedron surface tours main page
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 |