Curvature (InstanceTopic, 3)
From Hi.gher. Space
The curvature of a space or hypersurface defines several properties about it.
Flat objects
An object is said to be flat if the shortest route inside the object between any two given points A and B is equal to the shortest route in the object's bounding space between the same two points. Flat space observes Euclidean geometry.
Curved objects
An object is said to be curved if the shortest route inside the object between any two given points A and B is greater than the shortest route in the object's bounding space between the same two points.
Hyperbolic objects
An object is said to be hyperbolic if the shortest route inside the object between any two given points A and B is less than the shortest route in the object's bounding space between the same two points. Hyperbolic space observes strange effects.
