# n-gons - polygons with any number of sides

Categories: gcse geometry

Most people recognise the names triangle, quadrilateral, pentagon, hexagon, and octagon.

In GCSE we learn the names of polygons with up to 12 sides.

Beyond that, the names are less well-known. Few people know the mathematical name for a 23-sided shape, for example (it's an *icositrigon*).

To avoid this difficulty, we can name any n-sided polygon as an *n-gon*. For example, a 23-sided polygon is called a 23-gon.

This is an *alternative* name so:

- A 3-sided shape can either be called a triangle or a 3-gon.
- A 4-sided shape can either be called a quadrilateral or a 4-gon.
- And so on...

We would normally call a triangle a triangle, it would be a little odd to call it a 3-gon. But for shapes with more than 12 sides, this way of naming them is very useful.

## See also

- Regular polygons
- Interior and exterior angles of a polygon
- Triangles
- Quadrilaterals
- Quadrilateral family tree
- Pentagons - polygons with 5 sides
- Hexagons - polygons with 6 sides
- Heptagons - polygons with 7 sides
- Octagons - polygons with 8 sides
- Nonagons - polygons with 9 sides
- Decagons - polygons with 10 sides
- Hendecagons - polygons with 11 sides
- Dodecagons - polygons with 12 sides
- Other types of polygon
- Star polygons

## Join the GraphicMaths Newletter

Sign up using this form to receive an email when new content is added:

## Popular tags

adder adjacency matrix alu and gate angle area argand diagram binary maths cartesian equation chain rule chord circle cofactor combinations complex modulus complex polygon complex power complex root cosh cosine cosine rule cpu cube decagon demorgans law derivative determinant diagonal directrix dodecagon eigenvalue eigenvector ellipse equilateral triangle euler eulers formula exponent exponential exterior angle first principles flip-flop focus gabriels horn gradient graph hendecagon heptagon hexagon horizontal hyperbola hyperbolic function hyperbolic functions infinity integration by parts integration by substitution interior angle inverse hyperbolic function inverse matrix irrational irregular polygon isosceles trapezium isosceles triangle kite koch curve l system line integral locus maclaurin series major axis matrix matrix algebra mean minor axis nand gate newton raphson method nonagon nor gate normal normal distribution not gate octagon or gate parabola parallelogram parametric equation pentagon perimeter permutations polar coordinates polynomial power probability probability distribution product rule proof pythagoras proof quadrilateral radians radius rectangle regular polygon rhombus root set set-reset flip-flop sine sine rule sinh sloping lines solving equations solving triangles square standard curves standard deviation star polygon statistics straight line graphs surface of revolution symmetry tangent tanh transformation transformations trapezium triangle turtle graphics variance vertical volume of revolution xnor gate xor gate