Not necessarily.
A triangle is normally nonconvex on a flat surface
A nonconvex polygon is a concave polygon. All polygons with 4 or more sides can be concave. An arrowhead is an example of a concave quadrilateral. The back of an envelop (where the sides are folded and glued together) is a concave pentagon.
None. They either consist of curved sides or are not closed shapes (have lines "sticking out").
Alexander J. Zaslavski has written: 'Turnpike Properties in the Calculus of Variations and Optimal Control (Nonconvex Optimization and Its Applications)'
Konrad Stahl has written: 'Infrarottechnik' -- subject(s): Infrared technology 'Location and spatial pricing theory with nonconvex transportation schedules' -- subject(s): Space in economics, Transportation
Stephan Dempe has written: 'Optimization with multivalued mappings' -- subject(s): Nonconvex programming, Nonlinear programming, Set-valued maps, Game theory 'Foundations of bilevel programming' -- subject(s): Mathematical optimization, Programming (Mathematics)
Aleksandr Moiseevich Rubinov has written: 'Abstract convexity and global optimization' -- subject(s): Convex programming, Mathematical optimization 'Lagrange-type functions in constrained non-convex optimization' -- subject(s): Lagrangian functions, Nonconvex programming
The examples are tire ,ballon ,and beachball and the non-examples are shoe,chair,and bed
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