Boston Public Schools Adopt the Peters Projection World Map - A Brief Discussion
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This conic projection gave us a more or less accurate portrayal of a Great Circle route, which is the shortest distance between two points on the globe.
As far as an accurate, non-spherical projection which keeps the land masses in their correct size and shape, as well as portrays just how much of the world is water, I like Buckminster Fuller's Dymaxion Airocean Worldmap, which maps the world onto a icosahedron:
When the globe is opened, it looks like this:
Cool, huh? (I've always wanted to post about map projections...)
(our) one land mass and one ocean. One precious blue jewel in the vastness of space.
Each one a projection onto a Platonic solid.
Also, your map is wrong. Mexico is supposed to be below the US 
Geology is one of my favorite subjects but that pounding upbeat had me missing the old mirror ball and the dance floor 
Problem solved. 