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A convex polygon is a shape in which all of its sides are pointing or protruding outwards. No two line segments that form the sides of the polygon point inwards. Also, the interior angles of a convex polygon are always less than 180°. Convex is used to describe a curved or a bulged outer surface.
Illustrated definition of Convex: Curved outwards. Example: A polygon (which has straight sides) is convex when there are NO dents or indentations...
In geometry, a convex curve is a plane curve that has a supporting line through each of its points. There are many other equivalent definitions of these curves, going back to Archimedes. Examples of convex curves include the convex polygons, the boundaries of convex sets, and the graphs of convex functions.
Convex analysis is the branch of mathematics devoted to the study of properties of convex functions and convex sets, often with applications in convex minimization, a subdomain of optimization theory.
A geometric shape is convex if all its edges "point outwards". That is no part of it curves or faces inwards. If a shape is convex, a line segment drawn between any two points on the shape will always lie inside the shape. The figure above is a convex pentagon.
A convex polygon is a simple polygon in which all interior angles are less than 180 degrees, and for any two points within the polygon, the line segment connecting them lies entirely within the polygon.
A convex shape is a shape where all of its parts "point outwards." In other words, no part of it points inwards. For example, a full pizza is a convex shape as its full outline (circumference) points outwards.
