A non convex is a concave and a convex is differently shaped
A concave quadrilateral. An arrowhead or a delta, for example.
Take any two points on or inside a body. If every point on the straight line joining the two points lies within the shape, then it is convex. If not, it is non-convex.
I believe the fewest number of sides in a planar, non-convex polygon is four.
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
A non convex is a concave and a convex is differently shaped
A concave quadrilateral. An arrowhead or a delta, for example.
A convex polygon is one with no angle greater than 180 degrees. A non-convex polygon is one that is not without such an angle.
the union of two convex sets need not be a convex set.
Take any two points on or inside a body. If every point on the straight line joining the two points lies within the shape, then it is convex. If not, it is non-convex.
I believe the fewest number of sides in a planar, non-convex polygon is four.
It curves inwards :)
It's jack's job to illustrate the new book. Let me illustrate with a real life example.
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
Yes, the angle sums will be the same regardless of whether or not it is a convex polygon.
A triangle.