Icosahedron has triangular faces (Score 2, Informative)

From TFA:

An icosahedron is like a 3-D pentagon, and just as you cannot tile a floor with pentagons, you cannot fill 3-D space with icosahedrons, Royall explained. That is, you can't make a lattice out of pentagons.

An icosahedron has triangular faces. You were thinking of a dodecahedron, perhaps, which has pentagonal faces? The icosahedron's only relation to anything pentagonal (that I'm aware of) is that its dual polyhedron happens to be a dodecahedron.