my mistake was using the sum of angles in a triangle which was kinda dum but whatever . I also tried calculating via the circumstance of a circle placed at a pole where π was 20x smaller for the case I was using but its not linear so I looked deeper which was a big mistake .
BTW the ratio of circumstance to radius for a circle which is also an equator of the space is ¼ not 1 (r=½π₀ , C=2π₀) .
Better question: What curvature of space is necessary for the apparent value of π to be 5?
~~honestly I don’t know if there is any way to measure curvature of space , but its slightly more curved than the surface of a ball (where π=4.712)~
edit : its more complex than that and topology of non euclidean spaces hurts
minor nitpick but the value of π is technically a parameter of the space you are operating in . which means it can have any arbitrary value as long as you are willing to operate in non euclidean spaces (and the space we live in is not euclidean though not to a measurable extent unless you are near a black hole)
but yeah in this context saying π is a constant is as correct as saying you cant take a square root out of a negative number .
edit : possibly better example is that a triangle’s angles sum to 180°
not exactly a DAW/VST but VCV Rack is a open source (though with a pro version , the pro version can work as a VST though I never used it in that way) eurorack modular synthesizer symulator if you want to experiment a bit