Arrow keys, space, or clicking to advance slides. For a while I wondered how gravity might act differently if our solar system existed in a different number of dimensions. A month or two ago I was doing the math and found out a couple of interesting facts. I won't spoil them for you here but go through the presentation so that you might be able to play with variables and discover them for yourself.
Summary on slide 95. Simulation on slide 91. Main graph on slide 78. Desmos version of the graphs: https://www.desmos.com/calculator/uyjyonombw Another Desmos graph with values like circular velocity https://www.desmos.com/calculator/5unvfly6lf Music is "Explainer" by The_Mountain on Pixabay If you which to explore 4D further, check out these articles: https://wxyhly-en.github.io/archives/lavie4ds/ You could also check out my 4D engine that is a work in progress: https://scratch.mit.edu/projects/1238053077/ Also watch 4d golf devlog: https://www.youtube.com/watch?v=by8eAnez0i8&list=PLh9DXIT3m6N4GygehtlHl0ukgrgPJZteI I have been researching higher dimensions recently and if I ever decide to make a full on 4D game, I was trying to plan how the world would be set up, at least gravity wise. SPOILERS:_____________ While orbits in 4d are unstable, it is theorized that certain orbits might be stable around a certain type of 4d black hole (see https://wxyhly-en.github.io/archives/relativity4d/#Black-Ring-as-the-Sun ) so if I make it about navigation on a hyper-spherical planet, the planet would orbit one of these. (EDIT 2/14/26 - I was doing some testing in my 4d engine and was able to find these stable 4d orbits, so if I continue to make a 4d game the planet will orbit a Spheritorus shaped sun/black object) #3D
