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In mathematics, convex geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming, probability theory, game theory, etc.
Learn what a convex polygon is, how to identify it, and how to calculate its area, angles, and diagonals. See examples of regular and irregular convex polygons and compare them with concave polygons.
The topic of these notes is convex geometry. The objects of study are con-vex bodies: compact, convex subsets of Euclidean spaces, that have nonempty interior. Convex sets occur naturally in many areas of mathematics: linear pro-gramming, probability theory, functional analysis, partial di erential equations,
Wolfgang Weil. The text provides a self-contained and efficient one-semester introduction to the main concepts and results in convex geometry. The selected topics highlight the interactions between geometry and analysis, treating several topics for the first time in an introductory textbook.
Learn what a convex polygon is, how to find its area, interior and exterior angles, and how to distinguish it from a concave polygon. See examples, solved problems, and FAQs on convex polygons.
- A convex polygon is a closed shape, where none of the vertices are pointed inward. When a line crosses the convex polygon, it intersects at most th...
- If the interior angles of of the polygon are less than 180 degrees, then the polygon is convex. But if any one of the interior angles is more than...
- A convex polygon can be regular or irregular. It is a closed polygon whose interior angles are less then 180 degrees. No vertices of convex polygon...
- Kite, Pentagon, Hexagon, Heptagon, etc. are examples of convex polygon.
- Based on the shape of polygon, the types of a polygon are convex and concave, regular and irregular, simple and complex.
Convex polygon is defined as a polygon with all its interior angles less than or equal to 180 degree. Based on the shape of the polygon, the types of a polygon are convex and concave, regular and irregular, simple and complex. A regular polygon in geometry is always a convex polygon.
In geometry, a convex polygon is a polygon that is the boundary of a convex set. This means that the line segment between two points of the polygon is contained in the union of the interior and the boundary of the polygon. In particular, it is a simple polygon (not self-intersecting ). [1]
