What polygons are convex?

What polygons are convex?

A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set.

What is a convex polygon with 4 sides?

Convex Quadrilaterals A convex quadrilateral is a four sided polygon that has interior angles that measure less than 180 degrees each. If a quadrilateral has two sets of parallel sides, it is classified as a parallelogram. Rectangles are parallelograms that have four right angles.

Is circle a convex polygon?

The interiors of circles and of all regular polygons are convex, but a circle itself is not because every segment joining two points on the circle contains points that are not on the circle.

Is a square convex?

A square is convex! Since a square is a polygon, we should also note that all of the square’s interior angles are 90 degrees, and thus all less than 180 degrees. Therefore, a square is convex.

Is a convex?

Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty). For example, a solid cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is not convex. The boundary of a convex set is always a convex curve.

What does convex stand for?

1a : curved or rounded outward like the exterior of a sphere or circle. b : being a continuous function or part of a continuous function with the property that a line joining any two points on its graph lies on or above the graph.

What is a 16 sided shape called?

hexadecagon
Answer (1 of 3): In mathematics, a hexadecagon (sometimes called a hexakaidecagon) or 16-gon is a sixteen-sided polygon. Hexadecagon – Wikipedia More than Four Sides.

Are all polygons convex?

Every polygon is either convex or concave. The difference between convex and concave polygons lies in the measures of their angles. For a polygon to be convex, all of its interior angles must be less than 180 degrees. Otherwise, the polygon is concave.

What is convex hexagon?

A convex hexagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°. When any internal angle is greater than 180° it is concave. ( Think: concave has a “cave” in it)