What are Types of Polygons

It depends on how to classify. In geometry, a polygon is a closed plane figure that is made of three or more straight line segments. These segments form the sides (intersect or non-intersect) and interior angles of the polygon. The types of polygons are determined by polygons' sides, angles or how they are arranged, which means a polygon could fall into multiple types if it meets the definitions.

Convex and Concave Polygons

A convex polygon is a polygon that has no interior angle greater than 180°. All of the vertices of a convex polygon are outwards.

A concave polygon has at least one interior angle greater than 180° and at least one vertex inwards.

Regular and Irregular polygons

An irregular polygon does not have congruent sides and interior angles.

A regular polygon has congruent sides and interior angles. It has all of its sides equilateral and all of its interior angles equiangular.

Simple and Complex Polygons

Simple polygons have no self-intersecting sides. Triangles are always simple polygons.

Complex polygons, on the other hand, have at least two sides that intersect each other. The minimum sides to draw a complex polygon is four. For example, an antiparallelogram is a complex quadrilateral that has two sides cross over each other.

Another example of complex polygons is star polygon. A star is a regular polygon: simple or complex. A regular star polygon is a self-intersecting equilateral equiangular polygon. Try the regular star polygon generator below.

Regular Star Polygon Generator

How to make the regular star polygon?

First draw a regular polygon based on a circle.

Second, join the vertices every other point to get the regular star polygon.

The minimum number of vertices to draw a regulat star polygon is 5.

Just input the number of vertices and click the generate button.

Names of Polygons

Interior angle if the polygons are regular.

\begin{array}{|c|c|c|} \hline \text{name}&\text{sides}&\text{interior angle} \\ \hline \text{Triangle (or Trigon)}&3&60° \\ \hline \text{Quadrilateral (or Tetragon)}&4&90° \\ \hline \text{Pentagon}&5&108° \\ \hline \text{Hexagon}&6&120° \\ \hline \text{Heptagon (or Septagon)}&7&128.571° \\ \hline \text{Octagon}&8&135° \\ \hline \text{Nonagon (or Enneagon) }&9&140° \\ \hline \text{Decagon}&10&144° \\ \hline \text{Hendecagon (or Undecagon)}&11&147.273° \\ \hline \text{Dodecagon}&12&150° \\ \hline \text{Triskaidecagon}&13&152.308° \\ \hline \text{Tetrakaidecagon}&14&154.286° \\ \hline \text{Pentadecagon}&15&156° \\ \hline \text{Hexakaidecagon}&16&157.5° \\ \hline \text{Heptadecagon}&17&158.824° \\ \hline \text{Octakaidecagon}&18&160° \\ \hline \text{Enneadecagon}&19&161.053° \\ \hline \text{Icosagon}&20&162° \\ \hline \text{Triacontagon}&30&168° \\ \hline \text{Tetracontagon}&40&171° \\ \hline \text{Pentacontagon}&50&172.8° \\ \hline \text{Hexacontagon}&60&174° \\ \hline \text{Heptacontagon}&70&174.857° \\ \hline \text{Octacontagon}&80&175.5° \\ \hline \text{Enneacontagon}&90&176° \\ \hline \text{Hectagon}&100&176.4° \\ \hline \text{Chiliagon}&1000&179.64° \\ \hline \text{Myriagon}&10000&179.964° \\ \hline \text{Megagon}&1000000&~180° \\ \hline \text{Googolgon}&10100&~180° \\ \hline \end{array}

Steven Zheng Steven Zheng posted 3 years ago

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