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I started with a randomly generated map in PlanetGen, which outputs as equirectangular (planetgen is free software; i can't grab a link while posting from my phone but google should find it pretty easily). Then I took that equirectangular map and ran it through g.projector.win (also free software, by folks at nasa) three times for the mercator projection and for both polar projections (with latitude set at 90 and -90 respectively).
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