I think it only depends on how you visualise the wave function. In that case the drawing was 2-dimensional, but the wave function was defined as a third dimens

I think it only depends on how you visualise the wave function. In that case the drawing was 2-dimensional, but the wave function was defined as a third dimension (it was orthogonal to the plane in which the electron was orbiting the nucleus). It was reasonably clear to me that either the size of the wave was incredibly small compared to the size of the orbital or it was oscillating in some other dimension.