A Modified Azimuthal Equidistant/Stereographic Projection

General discussion of map projections.
PeteD
Posts: 251
Joined: Mon Mar 08, 2021 9:59 am

Re: A Modified Azimuthal Equidistant/Stereographic Projection

Post by PeteD »

Milo wrote: Mon Nov 15, 2021 3:11 pm
PeteD wrote: Mon Nov 15, 2021 1:48 pm You could also try the Spilhaus equal-area:
I'm not seeing the point of that one?
spilhaus_equal_area_polar_5_lobes_CON_1.145.png
spilhaus_equal_area_polar_5_lobes_CON_1.145.png (112.68 KiB) Viewed 1037 times
That's the Spilhaus equal-area in polar aspect with five lobes and "CON" (basically lobe pointiness) set to Spilhaus's preferred value of 1.145. Pretty good apart from Africa and South America, which can again be improved by replacing the azimuthal equal-area part with an equal-area conic projection:
spilhaus_equal_area_polar_5_lobes_CON_0.782_conic.png
spilhaus_equal_area_polar_5_lobes_CON_0.782_conic.png (83.86 KiB) Viewed 1037 times
although Greenland is now rather elongated.
Milo wrote: Mon Nov 15, 2021 3:11 pm All things considered, widening the North Atlantic would be more reasonable than widening the Bering Strait.
For the purposes of a flat-earth projection, I agree that this would probably be better, but I've kept the interruption down the Bering Strait for now so that I don't have to make a little tab for north-eastern Greenland when the interruption runs west of Africa.

You can also make a very similar projection by replacing the equidistant conic part of the Bartholomew regional with an equal-area conic projection:
bartholomew_regional_equal_area.png
bartholomew_regional_equal_area.png (92.46 KiB) Viewed 1037 times
I still prefer the version with the equidistant conic, though.
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