Any polygon that does not have all congruent sides is considered an irregular polygon. Irregular polygons can still be pentagons, hexagons, or nonagons, but they lack congruent angles and equal sides. Irregular polygons are common in nature- trees, clouds, and bones are just a few examples of natural objects that exhibit this shape.

People also create irregular shapes for the sake of art or design. Architects use these shapes to express their ideas about beauty and order. Artists use them to show off different colors or textures. Engineers use them to save space on maps and in computer games. They are also useful when you need to represent something complex without using a lot of space.

Irregular polygons contain parts that are not congruent. These parts may be angles or sides. Angles that are not congruent or lengths of sides that are not equal are called irregular features. Irregular polygons include pentagons, hexagons, and triangles with angles that are not whole degrees. There are also heptagons, octagons, and nonagons which have **seven or eight sides** respectively. Irregular polygons do not include circles or lines because they have **too many regular features-** there are always six points of intersection between **two line segments** which makes up a circle, and three angles of a triangle or vertex that are exactly 90 degrees.

Nonagons with **Irregular Shapes** An irregular polygon is one that has mismatched sides and angles. An irregular nonagon is a nine-sided shape with unequal sides and angles. The US Steel Building in Pittsburgh, Pennsylvania is an example of **an irregular nonagon**. It has eight square corners and one rectangular corner.

All regular polygons are equal; however, not all polygonal shapes are regular. An irregular nonagon has some differences from a regular hexagon. They have different lengths of edges and angles. An example can be seen in the US Steel Building where the length of some sides is different.

Irregular nonagons may seem difficult to draw, but they are not. Use this article as a guide to help you create **these geometric patterns**.

The first step is to decide what kind of pattern you would like to make. Then choose which parts will be similar and which parts will be different. Finally, arrange your shapes in the correct order.

Similar parts should be drawn first so they are easier to replicate. Different parts should be drawn last so they stand out more. For example, if you were making **a flower pattern**, you would start by drawing **the center part** of the flower and then add petals around it. If you drew each petal first, it would be harder to connect them together later.

A regular polygon is one that has **all sides** that are mutually congruent and all angles that are mutually congruent. Equivalently, a regular polygon is a polygons such that any two parallel lines can be drawn through it.

Thus, a regular polygon is defined as **a planar figure** with exactly n points of intersection between **its diagonals** where n is an integer greater than or equal to 4. The following images show examples of **regular polygons** with 5, 6, 7 and 8 sides respectively:

5-sided polygon: pentagram

6-sided polygon: hexagram

7-sided polygon: heptagram

8-sided polygon: octagram.

The term "regular" is used here in **the mathematical sense**, meaning that no side or angle is less than 90 degrees nor more than 180 degrees. A polygon that fails **this test** is called irregular.

Furthermore, a regular polygon is symmetric with respect to each of **its axes** of symmetry. That is, if we reflect all the vertices across one of **these axes**, we get back what we started with (up to rotation).