How can you draw the whole world in one go? Draw it as a globe sitting on a table or something. The globe is an iconic image, summoning up the idea that we can hold the whole world in our hands and spin it around at will.
It’s also very useful for finding where places are and how to get there! The trouble is you need a new globe each year as the countries change and places get new names and whole new cities are constructed in the middle of nowhere!