The study of cases of illusory or unstable perception of some visual stimuli allows exploration of the psychology of perception of the surrounding world. The wired construction known as “Necker cube” is one such stimulus: it can be perceived as a cube whose front face is seen higher than the back face or vice versa. The switch can occur intentionally or spontaneously. The investigations were focused on switching parameters, relation of the switching to eye position, pre-history, and environment. Here we (...) define that the kernel of the problem is recognizing the 2D drawing as a 3D Necker cube. To this end, we have expanded Gestalt's psychology methods that allow us to recognize 2D figures in drawings for recognizing 3D figure in a flat drawing (including the Necker cube). The presented algorithm for recognizing the cube based on the imitation principle allowed the development of the model of switching between two possible perceptions of the Necker cube. The paper shows that the predictions are in conformity with previously available experimental data. The results confirm the imitation principle of perception, and suggest expanding our research on perception to a wider class of 3D figures, opening a window into the internal processes of perception. (shrink)