It'd be helpful to know how this: https://i.imgur.com/rkzVMuC.png should look (while remaining projected onto a sphere). I wasn't expecting to end up with a pentagram at the top of the world but I never really thought about it beyond casually before. 

if you can post a picture showing where the hex borders should be, when related to a globe, that'd be very helpful. There are several approaches to it but I lose something out of each one, either the edges of the hexes cannot remain north-south aligned, or I have to make huge "filler" hexes as I've done here which also has the effect of "squishing" hexes or stretching them in the north-south direction.