The name for this is "diffraction pattern" of the aperture and it is induced by a polygonal aperture shape (it's the Fourier transform of the aperture shape). If your lens's aperture is near round, you will not see diffraction spikes.
To see them you need to have the light source in the frame and expose such that the overexposure from the source doesn't blow out the spikes or the rest of the frame, and that flare isn't bothersome. Film should record it just as well as digital, but contrast control may make it hard to get a pleasing image.