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Wake up babe new shape just dropped
(sopuli.xyz)
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this post was submitted on 06 Jul 2025
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This is why you specify that they are straight, parallel lines.
Perhaps this is just a projection of a square from a non-Euclidean space in which the lines are in fact straight and parallel.
I think the 2D surface of a cone (or double cone) would be an appropriate space, allowing you to construct this shape such that angles and distances around geodesics are conserved in both the space itself and the projected view.
This shape in that space would have four sides of equal length connected by four right angles AND the lines would be geodesics (straight lines) that are parallel.
I suppose you could get a shape like this if you tried to draw a square by true headings and bearings near the North pole of a sphere. "Turn heading 090, travel 10 miles. Turn heading 180, travel 10 miles." and so forth. Start at a spot close to the pole and this will be your ground track.
Actually no it isn't, because attempting to make a square you'd make four turns in the same direction, this would require turning left, right, right, left.
They could be if we're talking about non-euclidian geometry.
there is no definition that someone can't fuck up, that's the point of this exercise, not to find a perfect definition
But as usual 70% of you miss it
The point of this exercise is to say "ha-ha gotcha, I'm so clever neener neener" while everyone else rolls their eyes.
And if I were there for Diogenes's chicken caper my eyes would have been a-rolling...
The way science advances is in part making definitions harder and harder to screw up
Science is only one facet of life where definitions are important, and arguably not even the most daily impactful.
Also science is one of the few arenas with any real interest in a rigorous epistemic framework so that same concept of advancing definitions doesn't work with social values, political situations, and most media where definitions are changed or co-opted for convenience and leverage rather than objective rhetorical value.
Pretending they do leads to things like 'we will become more progressive over time as a society' being accepted as truisms of human nature instead of the long-term efforts of hundreds of thousands of highly motivated and violently targeted individuals working to better the world for people they will never meet.
So yes, rigorous definitions in science is important, and thankfully we have developed many useful frameworks to ensure that no matter where in the world scientists share knowledge that it can be held to certain standards of rigor and objectivity
Literally no other facet of life has that same kind of special protection.