Currently software and maps represent earth in many different ways, the latest is Point Clouds as this is the most common surveying tools currently available. For the needs of visualisation, construction etc. this seems to suffice for now. Not sure this is an engineering question but I tried in the philosophy forum and been advised this is applied science.
What is the most accurate representation of earth in a digital format (or mathematical equation):
- 3D splines
- solids and primitives
- polygonal mesh, TIN
- square 3D pixels