A map is a flat, visual representation of an area, showing its features and locations using symbols and drawings. The system of reference can change, like magnetism and north, and the map still functions as a map.

A drinking mug is a large, cylindrical cup with a handle, typically made of earthenware, used to hold hot beverages like coffee or tea. The orientation relative to gravity is fundamental to the functioning of the mug. It is not arbitrary.

Okay, forget gravity. If you stand on your head and look at the mug, do you get lots of insights about a mug that you wouldn't have had standing upright? Does it look different, or is it just an upside-down mug? For me I would just get the upside-down mug.

I suspect I don't have this thing the article mentions where I associate the bottoms of things with badness, so I don't get this effect where the bad bottom suddenly becomes the good top if I flip it or myself over. There's just no effect except perhaps getting dizzy.

>The orientation relative to gravity is fundamental to the functioning of the mug.

Yes. Changing your system of reference fixes this too. Just get upside down glasses, gravity now goes "up" and the mug is upside down. Works perfectly. You can live like this if you want.