Simple and Complex Polygons

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A polygon is a closed figure made up of line segments.

Simple Polygons

A simple polygon has only one boundary, and it doesn't cross over itself. The sides of a simple polygon do not intersect.

Complex Polygons

Complex polygon is a polygon whose sides cross over each other one or more times.

Let's go through some examples.

Example 1

Is this polygon simple or complex?

In the given polygon the lines do not intersect each other at any point.

So, it is a simple polygon.

Example 2

Is this polygon simple or complex?

In the given polygon five lines intersect each other.

So, it is a complex polygon.

Summary
• A polygon is a closed figure made up of line segments.
• A simple polygon has only one boundary, and it doesn't cross over itself. The sides of a simple polygon do not intersect.
• Complex polygon is a polygon whose sides cross over each other one or more times.
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