convex polygon

No inward angles

A convex polygon is a polygon where all interior angles are less than 180 degrees and every line segment between two points inside the shape stays entirely within the shape.

No part of a convex polygon caves inward—all vertices point outward.

Triangles are always convex; rectangles and regular hexagons are convex.

A star shape is not convex because some vertices point inward.

Related

vertices · edges · angles · interior angles · shape · geometry · regular · irregular · perimeter · area · sides · interior · exterior · tessellation · polyhedron · boundary · hull · acute

Categories
Opposites
shape regularity/simplicity

convex polygonirregular polygon

Many-sided shape, sides differ

geometric regularity/boundary type

convex polygoncurved shape

ellipse · circle · blob

Family

convex, polygon, convexity, polygons, polygonal

Familiarity
Top 500,000
Profile
Used worldwide · Timeless · Concrete · Rated G