Projecting the globe onto regular solids
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I was playing around with some geographic features of Mathematica this morning and ran across an interesting example in the documentation for the PolyhedronProjection
function given here
. Here’s what you get when you project a map of the earth onto each of the five regular (Platonic) solids.
How the images were made
At first I right-clicked on each image and saved as graphic files. This produced low quality images, even when I saved as SVG. I got better resolution by using the Export
command and specifying the ImageSize
and ImageResolution
options.
The default view of the tetrahedron was face-on, so it looked like a flat triangle. By changing the ViewPoint
I was able to get something that’s more clearly three dimensional.
By the way, you can use PolyhedronProjection
to project onto more exotic polyhedra than the Platonic solids. For example,
Export["rhomb.png",
PolyhedronProjection["ParagyrateDiminishedRhombicosidodecahedron"],
ImageResolution -> 72,
ImageSize -> Large]
produces this:
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