Not sure the exact nuances that go into “generalizable” but please consider: To go from a radius to a circle, you can rotate a radius 360deg. To go from a circ

Not sure the exact nuances that go into “generalizable” but please consider: To go from a radius to a circle, you can rotate a radius 360deg. To go from a circle to a sphere, you can rotate a circle on its axis 360deg. This sort of “take a shape and move it” to produce an N+1 dimensional shape is definable using calculus.