Unlike the human head, the earth actually is nearly spherical. There's got to be some differences in how spherical projections work when the object actually is a sphere, I would think. I know that 2D maps are distorted, but are globes actually this distorted as well? Never knew that, if so.
Edit:
After reflecting on it for a minute, I see they're demonstrating forms of 2D map distortion. The way depth is represented is variable. With modern concepts of 3D imagery, we must have solved this distortion problem. If you open up Google Earth's globe, it doesn't have such distortion.
This has got to be wrong. A human head, projected like a world map, would show both eyes and both ears, except in the case of showing only one half (like when you only show/photograph the Americas).
This appears to take a picture of the side of the head (i.e. that particular projection, showing less than half of the full globe), then distort it as if it were already a different projection.
Edit: worse than that. The globe onto which the half-head-image is superimposed in the top right is larger than the head. Like if you took a photo of the Americas half of the world from space, pasted that onto a larger beach ball, then stretched the result to demonstrate the projections.
It's still a Mercator projection if you take any part of a map projected thusly. (And there's the "modified universal transverse Mercator" that, I think, is that with some grid offset.)
But, see my edit, this image isn't doing that. It's stretching a "picture of half a face superimposed on a larger half globe," not the half-face as if the head were the globe.
I don't quite get this. The human head, like the globe, is not flat. Shouldn't that be reflected in the projections?
When projecting the earth in Mercator, we see the whole earth, not simply a "profile" of earth. I would expect a projection of a head to include the whole surface of the head, not a simple profile.
How is this actually factual?
This isn't representing projections of a human head. This is representing projections of the globe if the globe had a giant human head drawn on it instead of the continents.
But then you have to figure out how to transfer the drawing of the head onto the curved surface, and how you do that is going to determine how the projections look.