Explore: Surfaces Convexes

equivalently whose genus is 1 or greater. Topologically, the surfaces of such polyhedra are torus surfaces having one or more holes through the middle. A notable

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined

In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or

pubic crest a pubic tubercle at the lateral end of the pubic crest three surfaces (anterior, posterior and medial). The body forms the wide, strong, middle

Poincaré, H. (1905), "Sur les lignes géodésiques des surfaces convexes" [Geodesics lines on convex surfaces], Transactions of the American Mathematical Society

convex sets in topological vector spaces convex sets in 2 dimensions (including convex curves) convex sets in 3 dimensions (including convex surfaces)

curved reflecting surface. The surface may be either convex (bulging outward) or concave (recessed inward). Most curved mirrors have surfaces that are shaped

lenses are spherical lenses: their two surfaces are parts of the surfaces of spheres. Each surface can be convex (bulging outwards from the lens), concave

Poincaré, H. (1905). "Sur les lignes géodésiques des surfaces convexes" [Geodesics lines on convex surfaces]. Transactions of the American Mathematical Society

spherical surface, while for a large container, most of the upper surface of the liquid will be almost flat, only curving up (if concave) or down (if convex) near