Q: Difference of non convex and convex?

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In a non-convex (or concave) polygon, at least one interior angle is a reflex angle. An alternative definition is that if you take any two points inside a conves polygon, the line joining them is wholly inside the polygon.

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 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.

Related questions

A polygon is convex if you can take any two points inside the polygon and connect them with a line segment that is completely contained by the polygon. A non-convex polygon is one which contains at least two points such that the line joining them does not lie entirely inside the polygon.

In a non-convex (or concave) polygon, at least one interior angle is a reflex angle. An alternative definition is that if you take any two points inside a conves polygon, the line joining them is wholly inside the polygon.

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 :)

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.

Concave.

Yes, the angle sums will be the same regardless of whether or not it is a convex polygon.

A non convex polygon would have an exterior angle less than 90 degrees making it look concave at that vertex.