Perception of distant lights without glasses
This phenomenon is known as bokeh. 



You are right in the hexagonal shape being produced by the iris (of the camera), and from this, it is clear why this happens: The iris blocks out some of the light travelling into it, and a shape approximating that of the camera's iris aperture is projected onto the CCD. 

The same thing happens for the eye. The iris will block out a portion of the light, causing the bokeh to approximate the shape of the iris aperture (aka the pupil), which is roughly circular for humans. Animals with non-circular pupils will perceive differently shaped bokeh. If the lens suffers from astigmatism, it will also result in non-spherical bokeh being projected onto the retina.

This stackexchange link goes into greater detail on Gaussian blur vs bokeh.