If you ever indulged in the wonderful way to irreversibly waste time and lose faith in humanity in the process that is political discussion, especially on the Internet, you have probably noticed that from some degree of extremism onwards, its different kinds appear to stop ideologically diverging from each other and instead curve around and grow more similar, coming astonishingly close at the very extremes to the point of resembling something akin to a horseshoe shape; with some "wonderful" stances such as national socialism seeming to bridge the gap between two opposite ends of extremism and creating a whole new level of awful that takes the worst parts from both.
Using the popular political compass model which presents the political spectrum as a 2-dimensional Cartesian space described by two axis, economic left-right and lib-auth, and political beliefs of an actor as a vector pointing outwards from the 0 point which represents either some status quo or an arbitrary point considered the ultimate neutral center, we can start to see hints why. As political position presented in this way is essentially a divergence from the beliefs considered neutral, at some point the variety of ways to diverge simply starts to run out, leaving more and more limited options to go further, and forcing people of wildly different approaches to take increasingly similar paths.
@Amikke Well let laziness reign for a bit and then get cracking sunshine! Would be pretty amazing even if it exist as 2D map or existing grid... (do you have?). I'm happy to receive even as a fake attempt from laziness to something else :)
@freeschool it's honestly a needlessly elaborate shitpost I woke up inspired to write for no particular reason.
Although the idea of mapping the political compass on a sphere instead of a plane due to aforementioned increasing similarities between extremes was appealing to me for a long time. At some point I even had a serious plan to implement a web app that would allow one to map political compass positions onto different weird shapes (inspired either by that idea or the meme with political toroid), but laziness got the best of me lol