Our retinas are two-dimensional surfaces. With two eyes we combine images to perceive 3-dimensions.
As a prelude to the main question below, there is the question of how can you describe mathematically the combining of two images like this ?
So, 2 x 2-dimensional sensing in a coplanar configuration to construct 3-dimensional objects.
- Question: How does this generalize to higher-dimensions. i.e. how many "eyes" with m-dimensional sensing, and in what spatial configuration, is required to construct n-dimensional objects ?
There is the complication that retinas are not flat - I don't know how that affects things.
Some animals have more than two eyes, and it seems that two eyes only construct partial information about the 3D-ness of an object i.e. only info in one plane. Two more eyes on a vertical line could construct some up-down 3D-ness, and another set of eyes that are recessed compared with the others could allow sets of images from different distances to be combined so that the distance to an object can be perceived more accurately.