What is a non-polygon?

1 Answer
Zor Shekhtman · EZ as pi
Dec 25, 2015

Non-polygon is a geometric object that does not conform the definition of polygon (see below).

Explanation:

Polygon is a geometric object that consists of certain finite number of segments (let's label them #s_1#, #s_2#,..., #s_N#) that satisfy the following conditions:

(a) they are sequentially connected into a closed figure, that is the end of #s_1# coincides with the beginning of #s_2#, end of #s_2# coincides with beginning of #s_3# etc... end of #s_(N-1)# coincides with beginning of #s_N# and end of #s_N# coincides with beginning of #s_1#;

(b) all the points of coincidence mentioned above are different;

(c) there are no other intersection points among these segments.

In addition: Note that polygons are two-dimensional, (planar) and that the segments are straight lines, so any shape which includes an arc is not a polygon. (A circle is therefore not a polygon).

A geometric object that does not satisfy one or more of these three conditions IS NOT a polygon and you can name it a non-polygon.

Related questions
See all questions in Angles with Triangles and Polygons
Impact of this question
32642 views around the world
You can reuse this answer
Creative Commons License