Not quite what i meant haha: A conic projection uses a 3D cone laid over the top of a 3D globe and then the cone is spread out on a flat surface, rather then the map itself being a cone as you have done above.

The videos below might help illustrate what i mean.

Some relevent Videos:

• https://www.youtube.com/watch?v=ZwXrlx7FT0c
• https://www.youtube.com/watch?v=iMr5XV7Suqo

Any projection is a compromise. You conserve some properties at the cost of others.

You could always start with a mercator projection. They are easy enough to make (think cylinder wrapped tightly around the ‘equator’ of your globe.

Or you could go with a conic projection (think cone sitting on a gloabe like a hat) which are also simple to make. Lambert conformal conics are common in aeronautical charts.

Both of these projections are used in different maps in the real world for navigation.

Edit: Go for a browse; there are plenty of different flavors https://en.m.wikipedia.org/wiki/List_of_map_projections If your using software, then you can kinda do whatever you want without worrying about how hard or easy it is to make. 😄