This blog post? aims to show the result of varying camera distance as a way to create different perspectives and compare their results.
The first comparison shows the difference between close-up and distant photos in the context of selfies.
The difference in these photos comes from a difference in perspectives. When a photo is taken from close up the angle of the photograph is much wider and makes differences in depth much more noticable. This makes the face look much more compressed and distorted due to the rapid change in depth. A photo taken from further away with zoom has a much more reasonable angle that we would expect to see and thus looks more natural.
This second example shows how distance affects the perception of architectural spaces and objects.
The comparison of the two images is an exmaple in how zooming in from a greater distance compresses the scene. Elements like the whiteboard on the right appear more compressed in the zoomed shot, again showing that zooming in from far away is not equivalent to simply moving closer to the subject.