#dymaxion

1938 Dymaxion

Buckminster Fuller

Instead of working this evening, I spent the night finding the best way to remap the standard d20 number layout back onto the map in a way that rewards the best places and gratifyingly hates on the bad ones.

It took a few attempts but I now feel privileged to unveil to you the totally objective and ideal d20 map of the world.

Dymaxion Polyhedral Compromise Round 1: [Dymaxion vs Stab-Werner]

Lee Conformal Tetrahedron Polyhedral Conformal Round 1: [Lee Tetrahedron vs Equirectangular]

And the battle of the polyhedral projections is here!

Despite lacking in dynamicity, maximality, or tension, the Dymaxion has become very popular due to its low area and angle distortion, as well as its unique shape. The icosahedral net allows it to represent all the continents without any breaks, and as such has been used for things like maps of human migration.

Lee's tetrahedron uses a smaller platonic solid, which results in a much cleaner net, though does come with the downside that Antarctica is split in three in the north polar aspect. As it's represented as a triangle this projection can tesselate a plane, which means that its easy to move parts around to rearrange it into a better shape, such as CALM, a version of Lee rearranged into a conformal version of the Authagraph projection, or the Lee-Concialdi which is also in this tournament.

[Direct comparison on map-projections.net]