What I am saying, without the word map, so definition is irrelevant:
You can't draw a representation of physical locations on earth on a flat sheet of paper without distortion, where all distances are proportionate, all directions are the same, and the scale is constantr. The error is unnoticeable in a map of a city. minor in the map of a state, noticeable in a map of a country, and quite pronounced in a map of the entire earth. This is why google earth shows flat map when looking at a small area and as you zoom out it becomes a sphere. Flat maps are easier to use, and for small areas, the error is small and ignorable. For the entire earth, as the area expands, so does the error.
For the rest of this post, I will use the word "map" because writing "scaled down physical representation of features of the earth with accurate distance, direction, and constant scale" is too much to write to avoid the escape hatch of "what exactly is a map?"
This is why the FAQ maps all have Australia wider than USA. If you centered the map on the south pole, you get the opposite problem, Australia is much smaller than it should be and USA is too large:
https://emapsworld.com/world-south-pole-azimuthal-equidistant-projection-map.htmlThere is no flat map of the earth with constant scale that can accurately represent continents. Gauss's "Remarkable Theorem" mathematically proves that you can't transform a curved surface onto a flat one without distortion of distances, direction, and/or constant scale.
If you draw a map on a sphere, peel it off, and lay it out on a flat surface, it will stretch or tear, never can it have the same distance and direction. The earth is either flat or round, the map can't be right for both. All the FAQ maps have Australia too big. The size of Australia and USA are correctly proportional to their size as measured on a globe map.
Draw a picture on an orange and carefully peel it and then smash it flat. Your drawing will be either ripped apart or stretched, but your picture can't be flat, intact, and identical to what it was before peeling, no matter how careful you are.
If the earth was flat, it would be impossible to make a globe with accurate distance and direction and constant scale. Australia and USA are the size that gps, google, odometer, airline schedule, US Geodetic survey, etc say they are. No flat map has Australia and USA in correct size relationship.
Show me a flat map of the earth and I will show you a problem with accurate distance, direction, and constant scale. The map part of the FAQ should say "We have no flat map with accurate distance, direction, and constant scale."