There are six intersecting planar surfaces, each in the shape of pentagonal star, in this model. This leads to the most popular coloring with six different colors.
This model is called Blintz Icosidodecahedron (and the shapes of the free spaces between the planes clearly support this name), but for some reason I labeled it Blintz Icosahedron when I put the picture on my page in 2004. This error was then propagated by many sites, both made by people who folded the model themselves but learned about it through my site, and those who just copied content from my site verbatim, quite often without asking for permission. This is not the first time I see that an error made early on can be copied by others, sometimes to the point of becoming just as popular (or worse, more popular) than the correct version. A cautionary tale to say the least.