Do you know what a polygon is? These statistics, on the other hand, are all over the place! Polygons make up the majority of the typical forms you see or research on a daily basis. You may observe a rectangle-shaped wall surface with polygonal shapes.
The various types of polygons.
In mathematics, a polygon is a closed two-dimensional number made up of line segments but not curves.
The triangle, rectangle, and square are three of the most common polygons. In other words, a polygon is a simple figure or form made up of only line sectors.
Circles, three-dimensional objects, any shapes with curves, and any shapes that aren’t closed are not polygons.
People have known about polygons from the dawn of time. In the 7th century BC, Greeks explored non-convex regular polygons on a krater by Aristophanes. In the 14th century, Thomas Bradwardine was the first recorded person to study non-convex polygons.
Now that you know what a polygon is, let’s look at some different polygons and how they look.
Polygons come in a variety of shapes and sizes.
The sides and angles of the polygon are used to categorize it into several types.
- Polygon that is regular.
The Irregular Polygon is a type of polygon that is irregular in shape.
- A polygon that is convex.
- Polygon with a concave surface.
- A regular polygon.
All of the interior angles, as well as all of the sides, are equal in a regular polygon. Regular polygons come in a variety of shapes and sizes.
These are the following:
A triangle is a three-sided equilateral triangle with three equal sides and three equal angles.
A quadrilateral is a shape with four sides. It’s a standard polygon with four sides and four angles. The following are some examples of quadrangles.
A square is a quadrilateral with four equal walls or sides and four equal angles of 90 degrees each.
Parallelograms have opposite sides that are parallel, opposite sides that are equal in length, and unorthodox angles that are equal.
Kite: The shape has an axis of balance, and two pairs of neighboring sides are of equal length.
Rhombus: A parallelogram with all four sides the same size, similar to a square that has been squashed sideways.
A regular polygon with six identical sides and six equal angles is known as a hexagon.
Heptagon: A regular polygon with seven side lengths that are all the same and seven angles that are all the same.
An octagon is a shape with eight parallel sides and eight equal angles.
Nonagon: A nonagon is a shape with nine equal sides and nine identical angles.
Hendecagon: This shape has 11 equal sides and 11 equal angles.
A regular polygon having 12 equal sides and 12 equal angles is known as a dodecagon.
Triskaidecagon: A triskaidecagon has 13 identical sides and 13 identical angles.
Tetrakaidecagon: A tetrakaidecagon has 14 equal sides and 14 equal angles.
Hexakaidecagon: a hexahexahexahexahexahexahexahexahexa
The heptadecagon is a shape with 17 sides and angles.
The octahedral is a polygon with 18 sides and angles.
The enneadecagon has 19 sides and 19 angles.
Polygon with an irregular shape.
A polygon with irregular angles and side lengths is known as an irregular polygon.
Irregular polygon examples
Polygon that is convex.
This is a polygon with all of the interior angles being less than 180 degrees. A convex polygon’s vertex always points outwards from the shape’s center.
Polygon with a concave surface.
A concave polygon is one in which some indoor angles of a polygon are more than 180 degrees. A scooped polygon has at least four sides, with the vertex pointing in the direction of the polygon.
Here are a handful to help you remember the names of certain polygons.
- A QuadBike is a quadrilateral since it has four wheels.
- The United States’ Washington, DC, has five sides.
- The tentacles of an octopus are eight in number (octagon).
- There are seven sides to a septagon (Seven).
- There are six sides to a honeycomb (Hexagon).
Polygonal uses in the real world.
Geometry requires an understanding of shapes. Shapes have a wide range of uses in the real world.
As an example.
The tiles you walk on have a fixed fit, indicating that they are polygons.
- Polygons include the truss of a construction or bridge, the walls of a building, and so on.
- The trusses are triangular in shape, although the wall surfaces are rectangle-shaped.
- A polygon is the rectangular-shaped screen on your laptop computer, television, or smartphone.
- The Egyptian Pyramids are also examples of polygons (triangular).
- A polygon is a figure that is formed like a star.
- Polygons can also be found on road signs.