While we’re talking about map projections, I’ve long been partial to Cahill’s octahedral maps. Gene Keyes has some derivatives and a comprehensive website about the subject. http://www.genekeyes.com/B.J.S._CAHILL_RESOURCE.html

I’ve recently been trying to make some better Cahill spinoffs of my own. Here’s a conformal version: http://i.imgur.com/RhZL1FN.jpg

Wow.. I think that one's better than Fuller's: http://ad009cdnb.archdaily.net/wp-content/uploads/2012/04/13...

Would you mind sharing how you go about making these?

I found the Cahill projection a few years ago and was disappointed that I couldn't seem to find one in print.

The one I found that seem to resemble it is the Waterman projection which is also available in printed versions.

An award-winning 5' Cahill-Keyes wall map, compiled by Duncan Webb, published in Feb. 2014, can be ordered here: http://www.genekeyes.com/world_map_poster.html

> Would you mind sharing how you go about making these?

Spend a month or two reading the appropriate books about cartography, complex analysis, and approximation theory, and then write some Matlab code. :-)

Thanks for the link. But I don't know that I would call Scientific American a blog. Personally I think SciAm's version of the graphic gets the point across better, since it shows the curvature.