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Non-convex is also referred to as concave. Convex and non-convex both define the types of curvature. Convex defines the curvature that extends outwards or bulges out. On the other hand, non-convex defines a curvature that extends or bends inward. Thus, the extension of the curve is used to differentiate between the two forms. Convex and non-convex are often used as adjectives to define the entities associated with the shape or curve defined by them.
The term non-Euclidean sounds very fancy, but it really just means any type of geometry that's not Euclideanâi.e., that doesnât exist in a flat world. A non-Euclidean geometry is a rethinking and redescription of the properties of things like points, lines, and other shapes in a non-flat world. Spherical geometryâwhich is sort of plane geometry warped onto the surface of a sphereâis one example of a non-Euclidean geometry. Non-Euclidean Geometry in the Real World