What is the best way to tessellate sphere into equal area in any level of detail? HEALPix or Geodesic Grid or another method?

Question

I want to tessellate sphere into a grid in my 3D world map. There was 2 ways that I was consider right now, HEALPix and Geodesic

If I use it specifically for world map that could be zoom into any level of detail; What would be the better method and what is drawback or limitation of each method?