Btw, here's the Dymaxion map projection with Tissot's indicatrix of deformation.
And here's the Peirce quincuncial map projection with Tissot's indicatrix of deformation.
And here's the classic Robinson map projection with Tissot's indicatrix of deformation.
And here's the Waterman butterfly map projection with Tissot's indicatrix of deformation.
And here's the, oh horror, Mercator map projection with Tissot's indicatrix of deformation.
Dymaxion map projection does a pretty good job with this info.