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Maybe this has been brought up before, but I've never heard it. Someone linked me a video about 4th dimensional topology today and it dawned on me that the Acorn family crest is not a vertical infinity sign. It is, in fact...A MOBIUS LOOP!
This may actually be more relevant than just a cute little math reference. Aside from speaking English, we know that the citizens of the Acorn kingdom also call things by the same name as us, so it's likely that this shape is also called a mobius loop (or mobius strip) in their culture, obviously in reference to the name of their planet. It would seem rather audacious to me for a single kingdom to use a symbol for the whole world as their flag unless that kingdom was global. It'd be like a country in our world using the planet Earth as their flag. Unless you're the UN or some kind of world government, you just don't do that, or at least you put something else along with it so that it doesn't look like you consider yourself to represent the whole planet.
We know that there were at least two opposing political bodies on Mobius, likely two kingdoms, because the Great War had just ended in BttP. Until now I've assumed that there were probably several kingdoms across the world and that Robotnik just started with this one and, having used it to build his army for him, usurped it and went on to conquer the other kingdoms. But this discovery suggests to me that these kingdoms were the two kingdoms, or even that the Acorn kingdom was the united global power and the war was against some kind of secession, and once Robotnik had suceeded in crushing one as War Minister, he took the other in a coup.
What other significance do you think the mobius loop might've held for the people, that the Acorn family would've seen fit to use it as their sigil? Maybe the way that both sides are joined in a continuous strip signified unity or unbroken continuity. It's a really neat little detail!
