Second order embedding and second order false belief

The human cognitive system has the remarkable ability to organize streams of information in such a way that adding more often results in less. In the visual cognitive domain the Necker cube phenomenon is such an example. A single cube can be seen in two ways: the dark side as a front panel of the cube or as a panel in the back. Adding a similar cube should result in a four-way ambiguity: both dark panels in the front, the back or alternating. However, human beings have a really hard time seeing all four “readings”. We seem to see only two readings; either both cubes have the dark panel in front or in both have them in the back of the cube.