Features the project must have will be revealed by the teacher in parts. What I already know: 

Define Vertex, Edge, Face, Poly linked structs/classes. (Each edge has pointers to its neighbor faces/edges/vertices and so on)

Make a program to open .vtk and show wireframes and lighted objects (like polyhedra, spheres) made of rasterised triangle-faces.

I suspect there will also be tasks like rotate the object, move the camera point, move light source.

I will do the project in C++ with WinAPI.