Mesh faces of illuminated solid colour help needed

Hello.
I'll start off by sating I have very little experience with shaders other than some DirectX stuff (still reading up on Unity's reference materials).
What I am looking to achieve is the following effect on a 3D model (to be more precise a deformed icosahedron) without the grain effect the image has:

My currently limited shader knowledge has left me stuck on where to start/what to look into and I would greatly appreciate any and all help.
I only have access to the non-premium version of Unity (if that makes any difference in regards to the rendering pipeline features).
Thanks in advance!

 

Isn't it just a non smooth shaded mesh?

 

I have no idea. As I say I am very well out of touch with shaders.
I have experimented with every built in shader and the legacy shaders and nothing comes close; every one of them 'smoothens' the surfaces.

 

It's not the shader, look at the mesh import settings and have it recalculate the normals with a smoothing angle of 0.

 

The mesh itself is procedurally generated and so not imported.
I found a solution via this link: http://forum.unity3d.com/threads/achieving-the-darwinia-look-in-unity.119870/ which separates each face into unique vertices so their normals aren't shared with over faces.