It doesn't consist of many faces, but it was hard to build. I failed once, many years ago. Then after some years I decided I should try again and then I thought more about how to solve the problem. I came up with a solution and then it was no problem at all and I finished it.
The polyhedron itself consists of regular heptagons only (each using one colour). That isn't really possible, of course, but I allowed them to be folded over diagonals according to a shell-fold and then it is possible. It is very hard to see the heptagons here, but here you can see an interactive 3D model:
http://tunnissen.eu/polyh/local_off.htm ... istance=18
(The link contains an link to an off-file that you could download and load in Stella if you prefer)
Once you understand how the heptagons are folded and connected, you "only" need to cut and paste regular heptagons. Chiral models can be hard to build, as everyone here probably knows, but this one was extra tight around the five-fold axes. Especially because I use cardboard that is quite thick (250 grams / m^2)
