This woven icosahedron is surprisingly simple and easy to make. The pieces are actually the same as those used for the tetrahedron. You may use those too. I have however, only made three strips – otherwise the icosahedron would have been rather large compared to the other forms I made.
- Cut out 2 x 5 identical pieces in two colours – or you may even use 5 or 10 different colours
- Score along the flap and along the imaginary lines connecting the valley bottom between the small triangles and the corners
- Cut away the small triangles from the sides of the strips
- Crease so that the forms of the two different colours swirl in opposite directions
- Place two pieces of different colour so that the flaps are situated in opposite ends of the form
- Weave in a strip with the longest end section parallel to a flap, line up carefully and fix with glue
- Weave the rest of the two faces while flat, line up and fix with glue as you go along (#1 inside and #2 outside)
- Make all 5 of these woven pieces (#3) in the same way
- The 5 woven pieces are to be woven together as indicated (#4 inside and #5 outside). Weave in the pieces one by one. You do that in the simplest way by weaving in all strips, then line up and fix with glue
- Take up the form and make a ring weaving together the remaining 2 sets of strips. Line up and fix (#6)
- Finally close the icosahedron using the 10 flaps. Fixing the last flaps may require a pair of tweezers.
And a vector-pdf for cutting the pieces: Icosahedron cut 1